© ESO 2018

1 Introduction

Stars in the Milky Way preferentially form in clustered environments (Lada & Lada 2003; Bressert et al. 2010). Moreover, in many young stellar clusters containing high-mass stars, the most massive stars concentrate toward the center of the cluster according to an effect called “mass segregation” (e.g. Zinnecker et al. 1993). The physical origin of this effect is uncertain due to intrinsic observational challenges (e.g., mass segregation is a relatively short process, and protostars are deeply embedded in early stages), as well as a lack of clear understanding of the structure and dynamics of the large-scale motions governing cloud dynamics. In essence, there are two possibilities to explain mass segregation: dynamical or primordial (or some combination of both, such as primordial segregation followed by a dynamical post-segregation, Moeckel & Bonnell 2009). Moreover, it is unclear whether this process should apply to low(er)-mass stellar clusters.

Simulations have shown that, after some time, two- and/or multi-body dynamical interactions between stars can lead to partial mass segregation down to a “limiting mass” (e.g. Allison et al. 2009a; Pang et al. 2013), with the more-massive stars becoming mass segregated earlier than less-massive stars. An alternative scenario suggests a primordial origin for mass segregation (e.g. Bonnell & Davies 1998). In this case, the position of the stars in the cluster mainly reflects the gas and dust distribution of the natal cloud, which formed the most massive stars near the center of the gravitational potential; simulations were presented by, e.g. Bonnell & Davies (1998) and Bonnell & Bate (2006), while near-IR observational evidence have been presented by, e.g. Testi et al. (1997, 1998), Hillenbrand & Hartmann (1998), and Massi et al. (2000, 2003). In summary, a cluster will always be mass segregated down to a limiting mass after some time (after a complete relaxation time it will become mass segregated down to the average mass of its stellar members), but before this occurs, a cluster can only be mass segregated if primordial segregation is in effect.

Observational studies have shown evidence for mass segregation in the young stellar groups in Taurus, Lupus3, ChaI, and IC348 (Kirk & Myers 2011), although another method found inverse segregation instead in Taurus (Parker et al. 2011). In the sample of IC348, Serpens, NGC1333, and L1688, Schmeja et al. (2008) found signs of mass segregation in the older clusters (the former two) but not in the younger clusters (the latter two), suggesting dynamical effects. Additional mass segregation studies have targeted young, massive Galactic stellar clusters and associations including Orion Nebula Cluster (Hillenbrand & Hartmann 1998; Allison et al. 2009b), NGC3603 (Pang et al. 2013), Westerlund 1 (Lim et al. 2013), Trumpler 14 (Sana et al. 2010), and Berkeley 94 and Berkeley 96 (to different degrees of segregation, Delgado et al. 2013), to mention a few. No evidence of mass segregation in the dynamically young clusters Rho Ophiuchus (Parker et al. 2012) nor Cyg 0B2 (Wright et al. 2014) were found. These studies were targeting young stars using primarily optical/IR and/or X-ray selection techniques, and therefore they do not include the most embedded, youngest members. Simulations also show varying degrees (or lack thereof) of primordial mass segregation (e.g. Allison et al. 2010; Maschberger & Clarke 2011; Gavagnin et al. 2017; Parker & Dale 2013). Young massive protostellar clusters have been studied (at millimeter wavelengths) in a couple of cases (see Cheng et al. 2018; Cyganowski et al. 2017), but a similar analysis is still lacking for more regions where pre-stellar or protostellar sources in the earliest stages are surrounded by disks and/or envelopes, and especially in less massive environments. The low-mass, protostellar case is the focus of our study.

Serpens South cluster was discovered by inspecting Spitzer observations in the Gould Belt survey (Gutermuth et al. 2008). It was shown to have a high ratio of protostars to young stellar objects (YSOs), known as the protostar fraction, which is indicative that the cluster is very young with recent active star formation. Based on a carbon-chain molecule study, Friesen et al. (2013) suggested an age of 2 ± 1 × 10⁵ yr. Due to its young age, this is a feasible region to test whether the distribution of protostars is primordial, or whether enough time has passed for significant dynamical evolution or disruption.

Several studies have presented observations of star formation tracers in Serpens South. These include dust continuum maps (Maury et al. 2011; Könyves et al. 2015) and molecular line emission maps (Kirk et al. 2013; Tanaka et al. 2013; Fernández-López et al. 2014; Plunkett et al. 2015a). Catalogs of YSOs have been presented by Dunham et al. (2015) and Getman et al. (2017) using mid-IR and X-ray point sources, and for these sources evolutionary classifications are possible according tospectral energy distribution (SED) fitting of IR bands. We use especially the catalog of Dunham et al. (2015, hereafter D15) for classifying sources in this work. Maury et al. (2011) was the first work to carry out a multi-wavelength (from 2 μm to 1.2 mm) analysis of Serpens South cores observed with the MAx-Planck Millimeter BOlometer array (MAMBO) on the IRAM 30-m telescope.

We focus on the central cluster region, where the protostar fraction reaches 91% (throughout we consider Class 0/I and flat-spectrum sources as protostars). Within a ~ 6 arcsec² region with mass of 155.3 M_⊙ (based on the N(H₂) map of Könyves et al. 2015) reside some ~50 protostars. We have previously mapped this region using millimeter-wavelength interferometry with CARMA with an angular resolution of ~ 5′′ (equivalent to spatial resolution ~2200 au). At the resolution and sensitivity of CARMA, we detected seven continuum sources, including several with irregular morphologies that hinted at binary or multiple systems (Plunkett et al. 2015a). A number of the sources are deeply embedded and only visible at millimeter wavelengths, and therefore they were not identified in IR source catalogs. Hence, a full census of the protostars in this region requires sensitivity and resolution only recently accessible with ALMA.

Serpens South is one of only a few active star forming regions located at a distance less than ~ 500 pc. It is located 3° south of Serpens Main, and it is embedded within the Aquila Rift along with the nearby region W40. While no distance measurement has been made for a member of Serpens South, it has commonly been assumed that it is at the same distance as Serpens Main, and closer than W40. For a more extensive discussion of distance, we refer the reader to Ortiz-León et al. (2017). Briefly, since the discovery of Serpens South, different authors have assumed a range of distances, most commonly citing a relatively nearby distance of 260 ± 37 pc (Straižys et al. 1996) that was determined using photometry of Serpens Main, and consistent with that of the larger sample from Straižys et al. (2003). Later, Very Long Baseline Interferometry (VLBI) trigonometric parallax by Dzib et al. (2010, 2011) provided a farther distance to Serpens Main of 415–419 pc. Finally, multi-epoch Very Long Baseline Array (VLBA) observations by Ortiz-León et al. (2017) provided the distance to Serpens/Aquila molecular complex of 436.0 ± 9.2 pc, which we adopt for Serpens South in our study.

2 Observations and data

2.1 ALMA Observations

We observed the region Serpens South with ALMA (#2012.1.00769.S). The observations where made with the 12 m array using 32 antennas (baselines 15–437 m) and the 7 m array using 9 antennas (baselines 8–48 m) during 2014 January–June. We made mosaic maps using 137 pointings and 53 pointings with the 12 m array and 7 m array, respectively. Time on source during each execution block to make the maps were 41 minutes (times two executions) for the 12 m array and 18-34 minutes (times 8 executions) for the 7 m array.

The observations were made in Band 6, and continuum maps were made by selecting line-free spectral channels in four basebands centered at 230.588, 231.45, 220.329, and 219.56 GHz. These basebands had bandwidths of 234, 468, 234, and 234 MHz, respectively, and the total bandwidth of the continuum image (line-free channels) sums to 858 MHz. The mean frequency of line-free channels is 225.758 GHz, which corresponds to a wavelength of 1.3 mm. Molecular lines were included in the spectral setup, but the focus of this paper is the continuum map; further analysis of molecular line maps will be presented in the future. One subset of data from the same project is included in Plunkett et al. (2015b).

Calibrators were dynamically chosen from standard catalogs. Bandpass calibrators used were: J1733−1304, J1751+0939, J1550+0527. Flux calibrators used were: Ceres, J1751+096, Mars, Neptune, Titan. J1751+0939 was used as phase calibrator.

We combined observations from the 12 m and 7 m arrays in the CLEAN process. In the CASA tclean task, we used multi-frequency synthesis and a robust weighting parameter of 0.5 to make the continuum image. We masked interactively, drawing CLEAN boxes around the emission and reviewing residuals before reiterating. Finally we corrected for primary beam. Our map has a synthesized beam HPBW of 0.96′′ × 0.59′′, equivalent to a linear resolution of 419 × 256 au at a distance of 436 pc. The maximum recoverable scale is ~ 29′′, or 0.06 pc (for the 7 m array in Band 6). The resulting mosaic map covers 3′ in declination and 2′ in right ascension (equivalent to 0.38 × 0.25 pc) within 30% power of the antenna response; the map is shown in Fig. 1.

The rms noise level of the image is not constant within the 30% antenna response of the mosaic due to dynamic range effects. In particular, in the central region where the brightest mm sources are found the rms noise level is about two times the rms in the outskirts of the image, varying between 0.3 and 0.8 mJy beam⁻¹. The dynamic range (peak emission/minimum rms) considering the brightest mm source is ~ 200−400.

Fig. 1 Leftpanel: ALMA 1.3 mm continuum emission, shown in green contours with levels of 5σ (dark green), 10σ, 30σ, 50σ, 70σ (and thereafter increasing by increments of 50σ, where σ = 0.3 mJy bm−1 corresponds to rms noise in a signal-free region). Gray and black contours show N2H+ emission at levels of 5σ and 10σ, respectively. Dashed magenta boxes outline the regions shown in “zoom” in Fig. 2. Right panel: N2 H+ emission is shown with grayscale (as well as contours as in left panel), zoomed out slightly from the region we mapped with ALMA in order to better display the dense gas filamentary structure of the region. Green contour shows lowest level (5σ) mm continuum emission as shown in left panel. Symbols indicate all identified sources in the region. Red (square, diamond, or circle) indicate a source detected with ALMA. Purple (star, cross, or plus) indicate sources identified by D15, but not detected with ALMA. In this display it is evident that the YSOs areforming in the dense filamentary region, with no mm sources detected in a region where N2 H+ emission is lower than5σ.

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2.2 Supplementary data to study dense gas

N₂ H⁺ was observed with CARMA¹ toward the Serpens South molecular cloud during the CLASSy project² campaign and the data were presented in Fernández-López et al. (2014). The observations combine CARMA cross- and auto-correlations (i.e., single dish and interferometer data) giving a ~ 7′′ resolution while including the zero-spacing information, thus recovering the extended spatial distribution of the gas emission. The correlator setting included a 8 MHz band centered at the rest frequency of the N₂ H⁺ (J = 1−0) line (ν₀ = 93.173704 GHz) with 159 channels of 0.16 km s⁻¹. The N₂ H⁺ is the preferred molecular tracer for the quiescent gas of the Interstellar Medium filaments. These data show the kinematics and spatial distribution of the well-known filamentary structure of the Serpens South cloud. At the intersection of the filament network lies a central hub, a strong N₂ H⁺ emitter harboring the central cluster. Figure 1 presents the location of the Serpens millimeter cluster detected with ALMA relative to the CARMA N₂ H⁺ (J = 1−0) emission. We also use N₂ H⁺ integrated intensity, velocity centroid and velocity dispersion images to extract the kinematical information of the line-of-sight gas at the location of the mm continuum sources (see Fig. 3 and Sect. 4.6). To obtain the velocity dispersion map (see Storm et al. 2014, for details on the procedure) the seven N₂ H⁺ (1–0) hyperfine components were modeled simultaneously using Gaussians with the same dispersion and excitation conditions in pixels with enough signal-to-noise ratio.

3 Results

3.1 Millimeter continuum source identifications

The mm-continuum emission detected with ALMA pertains to the dense dusty material associated with pre-stellar condensations or protostars in the process of collapse and disk-formation. We show the ALMA mm-continuum map of the central cluster of Serpens South in Fig. 1. As we explained in Sect. 2.1, rms noise level is not constant in the image, and in order to identify the millimeter sources we take this variation into account by changing the 5σ threshold detection limit accordingly throughout the image.

We identified 52 mm sources in our map (see Table A.1); hereafter we use the term “mm source” to indicate an emission feature identified using the following method, and we label the sources as “serps##”, in order of increasing right ascension (note that in this list are also included IR sources from D15 with no mm continuum detection). To identify mm sources, first we made two-dimensional (2D) Gaussian fits where emission exceeded 5σ and where a local emission peak was seen by eye; fits were made using the task imfit in MIRIAD (Sault et al. 1995). In Fig. 2 (especially panels a, c, d) one can appreciate the detail of several particularly crowded regions, yet generally a 2D Gaussian fit could be made around local emission peaks.

At this stage, emission near two pairs of mm sources (serps16/serps18 and serps32/serps33) showed a more complex morphology. The residuals after fitting a single 2D Gaussian were significant in these cases, so we subsequently carried out fits using two 2D Gaussians. Even though there is an improvement over the single Gaussian fit, a more individual analysis should be done since this model does not suit the emission properly. In these cases, serps16 and serps33 show more compact dust emission compared with the extended emission of their neighbors serps18 and serps32, respectively. Extended low-level emission, the presence of multiple components, and/or non-symmetric morphologies are probably affecting the Gaussian fitting. Higher-angular resolution observations and sophisticated modeling (beyond the scope of this paper) would help to make better fits.

It is possible that some continuum detections actually pertain to “background contaminants”, such as extragalactic sources. Extrapolating from the calculation in MacGregor et al. (2015), based on works by Hodge et al. (2013), Karim et al. (2013) and Ono et al. (2014) that include deep ALMA surveys, we estimate that within our mapped region (where power is greater than 30%) fewer than four extragalactic sources should appear as contaminants among the mm sources we detect here and study as candidate protostars, at about a 3σ detection level (1 mJy). This is a small fraction of our sources, and should not significantly affect trends we report.

3.2 Source classifications and morphologies

Note that in Table A.1 we list mm sources with and without IR counterparts, as well as IR sources with no mm emission counterpart. IR sources were identified and classified using the catalog by D15; a full presentation of the IR sources and their comparison with mm source counterparts is presented in Appendix A.1, and here we summarize briefly. Fifteen mm sources coincide with IR sources classified by D15 as Class 0/I, and three mm sources coincide with “flat-spectrum” (“F”) sources (see also Col. 4 in Table A.1). Thirty-four mm sources do not coincide with any source in the D15 catalog. We do not detect mm-wavelength continuum emission coincident with any of the three Class II sources in the same mapped region (see Fig. 1(b)); this can be explained because in the later YSO phase the dusty envelope has dispersed and the SED peak shifts to shorter wavelength.

In the following, we discuss mm source morphologies and their coincidence with previous mm continuum studies. Specifically, Plunkett et al. (2015a) observed 2.7 mm continuum with CARMA and a beamsize of 5′′, and Maury et al. (2011) observed 1.2 mm continuum with IRAM 30 m and a beamsize of 11′′.

First, in Fig. 2c we show what we call the central “ridge” of sources. The continuum emission reveals six compact mm sources (serps40, serps41, serps45, serps46, serps47, and serps48) aligned in the northwest–southeast direction within more diffuse emission (and the two sources serps36, serps44 in close proximity). Within the more diffuse emission reside a total of 14 mm sources (including also serps32, serps33, serps35, serps37, serps38, serps39), spanning a region of 10− 15′′ (4000–6000 au). These sources are at the location of SerpS-MM18 detected by Maury et al. (2011). In previous CARMA observations, two peaks of continuum emission (pertaining to CARMA-6 and CARMA-7) were identified in this same region, most closely corresponding to serps33 and serps45 (the brightest mm source) of the present study. All 14 of the sources we detect with ALMA reside within the 5σ level emission detected with CARMA around CARMA-6/7. A detailed dynamical study of molecular gas tracers should better characterize the sources near the ridge region; for example, we can study envelope kinematics and outflows being driven by the different sources. The first case study was that of the episodic outflow from CARMA-7 (serps45) by Plunkett et al. (2015b).

To the north (Fig. 2a) of this ridge we also detect several sources that were previously undistinguishable with CARMA. Coincident with the source we previously identified as CARMA-3 (SerpS-MM16, by Maury et al. 2011), we now identify three sources (serps16, serps18, serps19). The two peaks of mm emission in closest proximity (serps16, serps18) were fit with simultaneous 2D Gaussians, and the distance between the peaks is ≲ 2′′ (≲ 800 au), motivating a future study of binarity for these sources. To the south of serps16/18, we now detect continuum emission (serps17) corresponding to an IR class 0/I source that was previously undetected with mm-wavelengths. The source serps29 to the east (of serps16/18) is a class 0/I source previously identified as CARMA-5, and it also appears to have some elongation that was not seen in CARMA observations. Additionally, we find several previously unidentified sources (serps25, serps28, serps30, serps34) nearby (≲ 10′′, or 4000 au), including continuum emission (serps26) coincident with a class 0/I IR source previously undetected with mm-wavelengths.

In the southwest of our map we detect serps12 and serps14 (Fig. 2d) coincident with CARMA-1. These are two class 0/I sources that may also be binary protostars due to their proximity (on the plane of the sky). In the northwest of our map (Fig. 2b) we detect a weak source (serps7) within ~ 4′′ of SerpS-MM10, which Maury et al. (2011) claimed is a multiple source with several condensations within their 11′′ beam. Since this source lies near the edge of our map, we may have reduced sensitivity at that location and/or sources may lie just outside the map edge.

Finally, we mention that the source CARMA-2 from Plunkett et al. (2015a) is not detected with ALMA in 1.3 mm continuum, and since it was only marginally detected by CARMA then we suggest that it is not in fact a likely protostar. Similarly wedo not detect emission with ALMA near the source SerpS-MM15 from Maury et al. (2011). That source is classified by Maury et al. (2011) as Class 0, with a relatively (compared with other sources in that work) large ratio of L_λ>350μm∕L_bol and a note that it is “emerging at Herschel wavelengths”; given the lack of ALMA detection in this context, the source may be consistent with being a prestellar core (A. Maury, priv. comm.). We also note, for clarity, that CARMA-4 from Plunkett et al. (2015a) is outside the field of view of our current ALMA map.

3.3 Source masses

Sub-millimeter continuum flux densities allow us to calculate the mass of the gas and dust of the disk and/or the envelope of a source. We measured mass for each source according to the following equation: (1)

where D is distance to the source, S_ν is the 1.3 mm continuum flux, and B_ν(T_d) is the Planck function given a dust temperature T_d. This calculation assumes an optically thin model and a constant temperature for each source. We used a dust opacity of cm²g⁻¹, with β = 1, which corresponds to κ_ν = 0.0188 cm²g⁻¹ at λ = 1.3 mm (Looney et al. 2000). These values are consistent with our previous study of Serpens South (Plunkett et al. 2015a); however we also note that Maury et al. (2011) use the value κ = 0.01 cm²g⁻¹ for protostellar envelopes, following Ossenkopf & Henning (1994), which would result in masses greater by about a factor of 2. We assigned T_d = 35 K for sources with IR counterparts and T_d = 15 K for deeply embedded sources without IR counterparts (following Looney et al. 2000). Using multi-wavelength SED analysis of millimeter cores, Maury et al. (2011) present dust temperatures of Serpens South starless and protostellar sources to be in the range T_d = 9 − 26 K, with an average T_d = 16 K. We note that using T_d = 15 K vs. T_d = 35 K for a given source results in a factor of 3 greater mass in the case of the lower temperature. Consequently, if we were to use a single temperature (e.g. either T_d = 15 K or T_d = 35 K) for all sources, then the mass-ranked list of sources would be affected with respect to the list that we report here (we mention the mass-rankedlist because it is important for the analysis of Sect. 4.2). For reference, in our study, we report that the most massive source with an IR counterpart is the 20th most massive source in the cluster, but if we were to use a single temperaturefor all sources then the most massive source with an IR counterpart would be the 12th most massive source. Given the uncertainties in these parameters, the mass calculation may have an error of a factor of a few, but moreover the uncertainties in κ_ν and T_d may compensate for each other.

The masses we measured are in the range of 0.002–0.9 M_⊙ and given in Table A.1. The lowest mass source that we detect without an IR counterpart has a mass of 0.005 M_⊙. Hereafter we refer to these masses as “mm mass” or "source mass", interchangeably, to mean disk and/or envelope; these masses do not include the mass of the protostellar embryos (if any). The equivalent mm mass that we can detect at a level of 5σ is 0.002 M_⊙ (2 M_jup; which is also the mass of the lowest-mass source that we detect). We note again that the rms is about two times greater near the bright mm sources, so we may not be able to detect such low mass sources near the cluster center.

3.4 Pre-stellar source stability

Sources that have millimeter-continuum emission but no IR counterpart are candidates to be pre-stellar or deeply embedded protostellar cores (Ward-Thompson et al. 1994). Alternatively, a source can be starless if it has no evidence for hosting a protostar (Ward-Thompson et al. 2007; Di Francesco et al. 2007). To test whether a core is a collapsing pre-stellar core or a stable starless core, we compare the core with a Bonnor-Ebert isothermal sphere, inferring the critical density (n_crit) and maximum radius (R_max) for stability.

For each source with no IR counterpart we calculated critical density as (see also Padoan & Nordlund 2004; de Gregorio-Monsalvo et al. 2016; Huélamo et al. 2017): (2)

where we used T = 15 K as the typical temperature, and we assumed the Bonnor Ebert mass M_BE is the mm mass (Table A.1). Next, for a given n_crit and mm mass, we measured the corresponding radius: (3)

where μ = 2.73m_H. For each source we compared R_max with the observedradius R_obs. We use R_obs = (θ_maj + θ_min)∕4, where θ_maj and θ_min are major and minor axes of the FWHM of the Gaussian fit (see Table A.1), and in the case of unresolved cores we used the major axis of the beamsize as an upperlimit for θ_maj and θ_min. A core can be considered unstable, or collapsing, in the case that the ratio n_obs∕n_crit > 1 and R_obs∕R_max < 1. We present the results in Table 1. We conclude that twenty of the mm sources with no IR counterpart are likely unstable or collapsing, having met the “unstable” criteria according to both density and radius (and excluding any unresolved sources that have inconclusive results, marked with ?? in the Table 1). This corresponds to 70% of the sample of mm sources with no IR counterpart (excluding those with inconclusive results).

Among these twenty sources, nine sources have ratios clearly indicating they are unstable cores or undergoing accretion. These sources are located toward the center of the cluster: at the central ridge (serps40, 41, 45, 46, and 47) or in the nearby vicinity (serps16, 18, 33 and 38). The other eleven sources meeting the unstable criteria have values closer to one. Given estimated uncertainty of ~ 30% for the ratios, the criteria for instability of these latter sources should be considered more tentative.

4 Discussion

4.1 Source masses relative to cluster “center”

Qualitatively one can see that the higher mass, brighter continuum sources are forming in a concentrated region within the dense gas ridge of the larger cluster, shown in Fig. 1 and in zoom in Fig. 2a,c. We reiterate that the dataset in hand is unique because we probe a range of masses over 2 orders of magnitude and down to low masses that have previously been undetected in the cluster setting. We plot mm mass vs. distance from cluster center for each protostar in Fig. 3a. We use symbols in this plot consistent with those in Figs. 1 and 2 in order to indicate evolutionary stage of each source in the case that there is an IR counterpart, or to indicate that the mm source has no IR counterpart.

The cluster center is defined as the intensity-weighted center of the N₂ H⁺ emission, shown with a cross in Fig. 1. A consequent nuance of the methodology presented in this sub-section is that defining a cluster center is not trivial when admitting that the cluster does not have a simple geometry (i.e. spherical). Since our investigation seeks to understand the relation of source mass distribution and their nascent dense gas environment, then defining the cluster center based on N₂ H⁺ (dense gas) emission seems most logical. Another alternative would have been to assign the location of the highest-intensity continuum emission as the cluster center, which is at a distance of 4500 au from the adopted cluster center based on N₂ H⁺. Qualitatively the mass-distance trend holds in either case.

The mm sources in Serpens South appear to decline in mass smoothly from the cluster center, with the most massive sources near the center. A trend line is shown in Fig. 3a to guide the eye. Including all mm sources, we measure a median distance from the cluster center of 0.06 pc. This is about one-third of the median offset of 0.17 pc that was measured by Cyganowski et al. (2017) for the sources in the massive cluster G11.92−0.61. We note that they measured distance relative to their most massive continuum source MM1, and if we measure distance relative to the most massive source in Serpens South, still the median distance is small. Probably the smaller median distance measured in Serpens South is due to the improved mass sensitivity and resolution in our observations, given the proximity of the region. It is apparent (i.e. Fig. 2c) that we identify a number of low-mass sources very close to the cluster center that may have been undetected if this cluster were at a farther distance. There also may be a difference in the clustered formation scenario for the low-mass region Serpens South, with a smaller mass reservoir at the center compared with the high-mass case of G11.92−0.61.

Fig. 2 Zoomed views into designated regions of map shown in Fig. 1, especially to show morphologies and source identifications in crowded and/or fragmented cases. Contours are identical to Fig. 1, marking 5σ (dark green), 10σ, 30σ, 50σ, 70σ (and thereafter increasing by increments of 50σ). Labels correspond to the source identification number in Col. 1 of Table A.1 (where sources are labeled as “serps##”).

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4.2 Minimum spanning tree

A stellar cluster is considered mass segregated when the more massive stars are concentrated toward the “center” (or where the potential well is deeper). In a protostellar cluster, the corresponding segregation should be apparent among prestellar objects. Mass segregation is a natural outcome of the dynamical gravitational interactions between the cluster members if enough time is allowed, but it remains unknown if the cluster can be primordially mass segregated before dynamical interactions become important. In this subsection, we analyze mass segregation for the first time in a very young protostellar cluster, Serpens South.

The minimum spanning tree (MST) method quantifies clustering, and we adopt the algorithm described in Allison et al. (2009b; see also Maschberger & Clarke 2011)³. Most generally, quantifying the clustering will allow us and others in the future to compare with observational results for other comparable regions and more evolved or more massive clusters; simulations can also implement these parameters. The MST method has the virtue of avoiding problems such as setting the cluster center⁴ (as we commented previously, this can be challenging).

The MST measures the shortest path length connecting all points in a given sample, without including closed loops (Kruskal 1956). We compute it by means of the csgraph routine in the Python scipy toolkit (Jones et al. 2001), using a mass-ranked list of all mm sources. Allison et al. (2009b) defined the mass segregation ratio (Λ_MSR) as (4)

where L_massive is the MST of the N most massive sources and L_norm is the average pathlength of the MST of N random sources in the cluster. We take the average over 500 random sets of N sources in the cluster to estimate L_norm and its statistical deviation (Gavagnin et al. 2017). If Λ_MSR > 1, the pathlength of the N most massive sources is shorter than the average pathlength of any N sources in the cluster, therefore the massive sources are concentrated relative to a random sample, and hence the cluster is mass segregated. In addition, the larger the Λ_MSR, the more concentrated the massive sources.

Figure 4a shows the result of the MST analysis of the mm sources detected in Serpens South. In order to minimize the possibility for evolutionary states of the sources to affect the direct comparison of mm masses (see discussion in Sect. 4.3), we separate the results for the 34 mm sources with no IR counterpart – which are likely the pre-stellar or most embedded (youngest) Class 0 sources – and the 15 mm sources with IR counterparts that are classified as Class 0/I. In the case of the youngest sources (pre-stellar cores or early Class 0/I, those without an IR counterpart), the dust and gas masses should represent a substantial amount of the total mass of the system, while for the more evolved mm sources the estimated mm mass only accounts for the disk and remnants of the nascent dusty envelope.

The diagram displays the Λ_MSR parameter obtained for source sets with an increasing number of mass-ranked members (N_MST). The most distinct features are: (i) a very large value of the mass segregation ratio for N_MST = 2 (Λ_MSR ~ 43, outside the range of the plot), (ii) an approximately flat plateau with a mean value of ⟨Λ_MSR⟩~ 3.7 for 3 ≤ N_MST ≤ 18, (iii) a second shorter plateau between 19 ≤ N_MST ≤ 21 at Λ_MSR ~ 1.5, (iv) a decrease of Λ_MSR to Λ_MSR ~ 1 for N_MST ≳ 21. These features indicate degrees of mass hierarchization. First, the two most massive mm sources with no IR counterpart are very close to each other compared with the typical separation of the cluster members. In second place, the 18 most massive pre-stellar candidate sources (mass > 0.04M_⊙) are mass segregated, although not hierarchically (i.e., these 18 are distributed approximately homogeneously). A third stage in the mass segregation of the cluster involves three sources with masses ~ 0.03M_⊙. These are not as spatially concentrated as the 18 most massive, and this is reflected in the diagram. Beyond this mass, the rest of the sources show a steady decrease in the degree of mass segregation, approaching Λ_MSR ~ 1. In the MST analysis of mm sources with IR counterparts that are classified as Class 0/I, we see no evidence for segregation based on envelope/disk (mm wavelength) mass, but a study invoking modeling to determine protostellar masses could show if the segregation holds at this stage.

4.3 Segregation according to mass or age effects

The results of the MST analysis suggest that the youngest millimeter sources (pre-stellar candidates) in the Serpens South central protocluster are hierarchically mass segregated. However, as described in Sect. 3.3, the source masses we calculate (and subsequently use for a mass-ranked list to make the MST calculations, as in Sect. 4.2) correspond to the mass of the gas and dust of the disk and/or the envelope, not the protostar mass itself. Given that the Serpens South sample of mm sources include a range of evolutionary classes (from pre-stellar to flat-SED sources), the observed mass segregation could be biased by age effects as the envelopes evolve. In order to minimize this effect, we limited the MST analysis to only the youngest mm sources (i.e., those without IR counterpart). Constraining the sample in this way, we deal with sources in the pre-stellar and earliest Class 0 stages, that we presume are roughly coeval. The mm emission of a pre-stellar source comes mainly from the dust of the envelope and reflects almost all the mass of the system (protostar plus disk plus envelope, André et al. 2000). On the other hand, the mm emission of the Class 0/I sources comes from the envelope and the proto-disk, which together, should have a mass of at least half of the protostellar mass (e.g., Bontemps et al. 1996; André et al. 2000).

To quantify how much mass has been accreted by one of our early Class 0 candidate sources without IR counterpart, we can take a look into the molecular outflow activity in the region (Plunkett et al. 2015a,b), and make an estimate of the amount of mass accreted. Probably the most prominent outflow in the cluster stems from serps45 (aka CARMA 7), whose first ejection is less than 5000 years old (the time it would take for an ejection found 4 arcmin from its driving source, traveling at 100 km s⁻¹ at a distance of 436 pc; see also Plunkett et al. 2015b). Assuming that during the Class 0 stage the accretion rate is between 10⁻⁵ and 10⁻⁶ M_⊙ yr⁻¹ (Bontemps et al. 1996; André et al. 2000), the total mass accreted by serps45 would be (5 × 10⁻⁶ M_⊙ yr⁻¹) ×(5 × 10³ yr) ~ 0.025M_⊙. For the other sources, we consider shorter ejections (let us consider a 1′ outflow lobe, or approximately the size of the central cluster), and the accreted mass would be ~ 0.005M_⊙; for even shorter ejections of 30′′ (or shorter, perhaps even those young outflows that are undetected), the accreted mass is ~ 0.0025M_⊙. The latter is about half of the minimum mm mass measured in our sample of mm sources with no IR counterpart. Thus, taking into account that the measured mm masses could be off by up to about 0.025 M_⊙, the conclusions of mass segregation according to MST analysis for the youngest sources holds; the additional mass uncertainty due to a reasonable estimate of accretion may only shift slightly the value N_MST at which a break in Λ_MSR is seen. Nonetheless, in this analysis the data cannot entirely rule out small contributions that might be the result of age segregation.

We also performed the MST analysis for the 15 mm sources with IR detections and classification of Class 0/I, likely more evolved than the former case of sources without IR detections. In this case, the difference in envelope mass between the pre-stellar to Class I phases may be approximately an order of magnitude (Bontemps et al. 1996). The MST analysis shows no significant trend of mass segregation for these mm sources. An additional difference in envelope mass by a factor of about 6 occurs between Class I and Class II (Andre & Montmerle 1994), yet we find no mm detections corresponding to the known Class II sources in this region. The (three) flat spectrum mm sources are at the transition from Class I to Class II, so here we can consider them to be slightly more evolved than the Class I sources (D15 show that the timescales of Class 0/I and Flat-spectrum YSOs are 0.5 and 0.3 Myr, respectively). Their envelope mass should have decreased by a factor less than 60 (and likely closer to a factor of 10, as in Class I sources) since the pre-stellar stage. Hence, for these sources, the mass of the protostellar system may be very different from that of the mm gas and dust mass estimate and therefore we did not include them in further analysis.

4.4 Timescale for mass segregation

Assuming that this segregation is not strongly affected by age differences among the sources, then the following question arises: is this mass segregation a primordial feature? To answer this, it is useful to estimate the dynamical segregation time for a YSO (which we use here as a protostar plus disk plus envelope) of a given mass. We follow the Spitzer (1969) prescription for the time scale for mass segregation, t_segregation, of a YSO of mass M_YSO in a cluster of N YSOs with average stellar mass ⟨m_cluster⟩:

where the crossing time of the cluster is:

Here, R_hm is the radius of the cluster containing half its total mass, and v_disp is the dispersion velocity. From the velocity dispersion map of the N₂ H⁺ emission, we derive v_disp = 0.47 km s⁻¹ (see also Fig. 3c and Sect. 4.6). We estimate R_hm ≈ 65′′ corresponding to R_hm ≈ 0.14 pc at the assumed distance. The resulting crossing time is t_crossing = 0.6 Myr. We adopt a typical value for the average stellar mass assuming a typical IMF to be ⟨m_cluster⟩ = 0.4M_⊙ (Allison et al. 2010), and we estimate a number of cluster members of ~ 100 considering sources in the catalogs based on infrared to X-ray observations (D15; Getman et al. 2017, see also Appendices A.1and A.2), and the millimeter ALMA detections that we present here. Hence we derive a mass segregation time of t_segregation = 0.7∕M_YSO Myr (i.e., it will take 7 × 10⁵ yr to segregate a 1 M_⊙ YSO or 1.4 × 10⁶ yr for a 0.5 M_⊙ YSO). For a cluster with 150 members, t_segregation = 2∕M_YSO Myr is even larger.

These time estimates are larger than the estimated age of the cluster. While possible that some of the (few) flat-spectrum YSOs have an age of up to ~1 Myr (D15), the vast majority of sources in the dense cluster center (i.e. Fig. 2a,c) are younger (classified as Class 0/I, or very likely young protostars yet unclassified by IR diagnostics). Near the central ridge where we find the most massive mm sources, the sources likely have ages of ≲ 0.46−0.72 Myr, which is the duration of Class 0 + I reported by D15. In other words, the sources that most contribute to our conclusion that more massive sources are concentrated toward the cluster center could not have mass segregation due to a dynamical origin, and therefore the segregation is probably primordial in origin.

4.5 Projected separations of sources

In Fig. 4b we show the distribution of projected separations for unique pairs of millimeter sources. Projected separations range from 500 to 73 000 au (0.002–0.35 pc). A peak is seen at ~ 11 000 au when considering all mm sources, and at ≲ 12 000 au (0.06 pc) for mm sources with no IR counterpart. Considering the latter case, a slight majority (~ 60%) of the unique separations are less than this distance, with a break and then a stable, low level of unique separations at greater distances. When considering all mm sources, a steady decline is seen longward of the peak at ~ 11 000 au. A contributing factor to a peak at this distance may be that the Jean’s length (assuming T_k = 20 K and n(H₂) = 10⁵ cm⁻³) is 0.08 pc (following Palau et al. 2015; Kippenhahn et al. 2012). A plot similar to Fig. 4b is shown by Cyganowski et al. (2017, see their Fig. 5) for the massive cluster G11.92−0.61, based on ALMA observations of 1 mm continuum emission in that region (spanning a region of 0.65 pc, with linear resolution of ~ 1650 × 1150 au). Considering all mm sources, they found two peaks in projected separation at ~ 0.1 pc and ~ 0.3 pc, with the peak at ~0.1 pc being more prominent. While our peak appears at a slightly smaller distance than their prominent peak, this is also likely due to the difference in spatial resolution of the observations. We also see a tentative peak in the bin at 0.3 pc when considering all mm sources (consistent with their analysis), which may be a coincidence, but merits further investigation in more clusters. The interpretation of the projected separation peaks by Cyganowski et al. (2017) suggests competitive accretion based on the claim that higher-mass sources require a cluster environment (i.e. small projected separations) for their formation. Our results are also consistent with a similar cluster scenario, now for a lower-mass cluster.

Fig. 3 a) Millimeter mass vs. distance from “center”. We mark mm sources with no IR counterpart with dark red circles; Class 0/I protostar candidates with red squares; and flat-spectrum SED sources with light red diamonds. The best fit power-law (gray line) has an index of − 1.4 ± 0.2. We note that to perform this power-law fit, we removed the two sources with distances d < 2000 au from the center (points in the lower left). The “center” refers to the plus-sign in Fig. 1, and is discussed in Sect. 4.1. b) Mass vs. N2 H+ integrated intensity. c) Mass vs. N2H+ velocity dispersion. Here “mass” refers to mass of dust and gas based on 1.3 mm continuum emission and the calculation described in Sect. 3.3. N2 H+ integrated intensity and velocity dispersion are measured at each position given in Table A.1.

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Fig. 4 a) Minimum spanning tree, as explained in Sect. 4.2, including with black, only mm sources with no IR counterpart (the most deeply embedded candidates); and with green, only mm sources with IR counterpart and classification of Class 0/I. Vertical lines at N = 18 and N = 21 guide the eye to the principle and secondary breaks, suggesting that the 18 most massive sources are more clustered than random samples of 18 sources in the map, and there is a transition before evidence for clustering disappears for lower mass sources, N ≳ 21. Horizontal line at Λ = 1 marks the regime where sources show no evidence for mass segregation. The upper x axis shows corresponding mm mass of the Nth source (considering only the embedded sources with no IR counterpart). b) Distribution of projected separations between unique pairs of millimeter sources (using Knuth binning scheme). Dark red histogram (filled) shows only mm sources with no IR counterpart, while light red (unfilled) histogram shows all sources with mm detection in our map. See Sect. 4.5 for more discussion.

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4.6 Millimeter sources and the dense gas environment

Since the basic picture of star formation asserts that protostars form from the collapse of dense material (Shu et al. 1987), then intuitively we should expect to observe protostars coincident with dense gas tracers. In Fig. 1 one can see that all sources reside within the 5σ contour of the N₂ H⁺, and all but4 sources reside within or touching the 10σ contour of the N₂ H⁺. The basic picture of star formation in dense gas holds; we suggest that the coincidence of mm sources and the dense gas is further evidence for a young age of the cluster, as protostellar sources have not had time to disperse from and are still controlled by their nascent dense gas (Lada & Lada 2003; Portegies Zwart et al. 2010; Krumholz 2014; Stutz & Gould 2016; Stutz 2018). Is mass of the protostar also correlated with the dense gas? Figure 3b shows mm mass as a function of N₂ H⁺ integrated intensity at the same location (along the line of sight). While we do not have the angular resolution in the N₂ H⁺ data to actually resolve the same cores and measure their flux density, indeed higher mass sources are forming where the N₂ H⁺ intensity is higher.

We also find a trend between mm mass and N₂ H⁺ velocity dispersion (as measured along the line of sight), shown in Fig. 3c. A correlation of mass and velocity dispersion (e.g., see Dobbs et al. 2014) is consistent if gravitational infall and/or feedback via outflows dominates the dynamics in the cluster (on the scales observed here). This is plausible given that the star formation in this cluster is recent and ongoing, and a high number density of young (Class 0/I) sources are clustered at the center where the protostar fraction reaches 91% – precisely the cases where infall and/or outflows are expected to be active.

5 Summary

We presented an ALMA 1.3 mm continuum map of the protostellar cluster Serpens South. According to previous IR observations, the cluster is reported to have a high protostar fraction, suggesting ongoing and active star formation. We identified 52 mm sources in our mapped region of 3′ × 2′ (equivalent to 0.38 × 0.25 pc). These sources are protostellar candidates, given that the continuum emission corresponds to dust of the disk and/or the envelope. In cases that the sources correspond with IR sources identified in the catalog by Dunham et al. (2015), we indicate the evolutionary class of the source. Eighteen mm sources coincide with IR sources classified by Dunham et al. (2015) as Class 0/I or “flat-spectrum” sources. Thirty-four mm sources do not coincide with any source in the Dunham et al. (2015) catalog. Many of the latter case actually reside in the central ridge region where extinction negated the possibility for detection and classification at IR wavelengths, and therefore the ALMA data are powerful for identifying deeply embedded sources here.

We measured mm source masses in the range of 0.002–0.9 M_⊙ (see Table A.1). By analyzing the source masses and the spatial distribution within the cluster, we present evidence for mass segregation, specifically among the youngest mm sources (those with no IR counterpart). Moreover, given indicators for the youth of the region, we suggest that the segregation is primordial. Characteristic masses and distances apparent in the methods of minimum spanning tree and projected separation (Fig. 4) should provide parameters to compare with simulations and observations of other clusters.

We studied in more detail the mm sources with no IR counterparts, considering these to be candidate pre-stellar or deeply embedded protostellar cores, or alternatively starless cores. We analyzed the stability of the cores by comparing the critical density and the observed density. About 70% of the sample with no IR counterpart appear to be unstable or collapsing.

In addition to analysis of our ALMA observations, we utilize observational data from the literature for the same region. We show that the mm source positions correspond with the dense gas traced by N₂ H⁺ and mm mass correlates with N₂ H⁺ intensity and velocitydispersion. We compare (in Appendix) the positions of mm sources in our study and corresponding detections using observational data at other wavelengths found in the literature. These included (primarily) observations from Spitzer and 2MASS (Dunham et al. 2015); Chandra (Getman et al. 2017); Herschel (Könyves et al. 2015); and VLA (Kern et al. 2016). We show that a multi-wavelength approach is important to clarify the evolutionary state of these sources.

Acknowledgements

We acknowledge the constructive suggestions by an anonymous referee that greatly enhanced the analysis presented inthis paper. ALP thanks Amy Stutz, Claudia Cyganowski, and Stella Offner for insightful discussions of the interpretation of these data. ALP obtained these data while hosted at Universidad de Chile with funding from Fulbright Chile. HGA gratefully acknowledges support from the NSF under grant AST-1311825. GB is supported by the Spanish MINECO grant AYA2014-57369-C3. This paper makes use of the following ALMA data: ADS/JAO.ALMA#2012.1.00769.S. ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS (Japan), together with NRC (Canada), MOST and ASIAA (Taiwan), and KASI (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO and NAOJ. Data reduction was begun during a visit at the NRAO North American ALMA Science Center (NAASC), with generous assistance from Jennifer Donovan Meyer. The National Radio Astronomy Observatory is a facility of the National Science Foundation operated under cooperative agreement by Associated Universities, Inc. This research made use of Astropy, a community-developed core Python package for Astronomy (Astropy Collaboration 2013), and the following SciPy (Jones et al. 2001) core packages: Pandas, Matplotlib, IPython, Numpy.

Appendix A Comparing with the literature

In this appendix, we provide a qualitative review and comparison with sources identified in the literature corresponding to the same region that we mapped with ALMA. The works referenced here utilize (primarily) observations from Spitzer and 2MASS (D15); Chandra (Getman et al. 2017); Herschel (Könyves et al. 2015); and VLA (Kern et al. 2016). In Fig. A.1we provide a map (with observational data identical to that of Fig. 1) including source labels to guide the discussion.

Fig. A.1 Reference map with source labels, corresponding to the numbers in Col. 1 of Table A.1 (in the format “serps##”). Contours and magenta boxes are the same as in Fig. 1, and boxes correspond to regions shown in Fig. 2 in zoom. We simplify the color and marker scheme from Figs. 1 and 2. Here, black indicates a mm source, and gray indicates an IR source with no mm source counterpart. Circle sizes of the markers are not significant, but are smaller in the crowded regions where a zoom version with labels is shown in Fig. 2.

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A.1 Infrared (IR) catalog

In Figs. 1, 2 and Table A.1 we showed the mm sources that are coincident (on plane of the sky) with IR sources from the catalog by D15. We also indicated the evolutionary class of the sources based on their spectral energy distribution (SED) using available data from Spitzer and 2MASS between 2 and 24 μm (see D15, for a full explanation of SED classifications). An object at the earliest stage of formation has an SED that peaks at longer wavelengths than an object in a later stage, and the corresponding slope of the IR SED also changes with time.

In Fig. A.2 we show the IRAC 4.5 and 8.0 μm images (IRAC bands 2 and 4), and we mark the thirty-two YSOs from the D15 catalog that are located within the region we mapped with ALMA. These 32 sources are classified as: 22 class 0/I; 7 flat-spectrum; 3 class II (see Table A.1 and Fig. 1). One can clearly see the high protostar fraction (ratio of class 0/I protostars vs. all YSOs) in the region that we mapped.

Fig. A.2 IRAC 2 (left) and IRAC 4 (right) maps with same source markers as Fig. 1. These maps can give a sense for sources where continuum emission correspond to a clear and isolated source as seen with Spitzer, or where some confusion with nearby sources is possible. Note that YSO identifications and classifications by D15 following the c2d method required detections in all four IRAC bands (3.6, 4.5, 5.8 and 8.0 μm) and the MIPS 24 μm band.

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Seventeen IR sources classified as YSOs are coincident within 2′′ of a mm source. In the case of the IR source J183001.3−020342 (class 0/I), two mm sources (serps14 and serps12) appear coincident within 2′′. Considering the sources with both mm continuum detections and IR counterparts, 15 mm sources are classified as Class 0/I, and 3 as flat-spectrum, based on the spectral index from D15.

There are 34 mm continuum sources with no IRAC counterpart within 2′′. Expanding the match radius and inspecting closely by eye allows us to find some additional tentative matches. Within 5′′ of J183006.2−020304 are located three more sources, in addition to serps64 that most closely matched. Two sources are within 7′′ of J183005.2−020325, in addition to serps58. One source (serps24, see Fig. 2d) is located ~ 5′′ from J183003.2−020326, and might be obscured by its bright IR emission. Three mm sources in the northwest of our map are near (≲ 12′′) to serps5, and at least one of these appears to correlate with emission in IRAC2 and IRAC4 bands (Fig. A.2). A possible IR source at the location of serps60 may be confused with the much brighter emission from the source J183005.8−020144 about 12′′ to the north, yet still appears to correspond to emission in IRAC2 and IRAC4 bands. Hence 10 mm sources may indeed have IR counterpart that could not be identified by D15 because they are clustered and/or faint. In D15, they also caution that their method is prone to missing these sources, because to be included in their catalog a source must have detections in all four IRAC bands (3.6–8.0 μm) as well as the first MIPS band (24 μm), with the MIPS observation having lower sensitivity and resolution (see also Gutermuth et al. 2009).

serps31 has no apparent IR counterpart, but it appears situated between serps42 and serps23 in a region of diffuse IRAC2 emission. If it is possibly a weak IR source, it might have been unidentified in the IR catalog. Another mm source, serps4, does not correspond with IR emission and is relatively isolated. Both of these sources are weak mm sources, and possibly they are not YSOs but instead background extragalactic sources.

Twenty-two mm sources without IR counterparts are located in the central cluster (see Fig. 2a,c) where obscuration and blending probably negated the possibility for confident identification in IR images. Still we consider these as deeply embedded protostellar candidates.

Fifteen sources classified as YSOs in the D15 catalog do not have a mm continuum counterpart (note that a few are near the edge of our mapped region, and if low mass may have been below our detection limit for those edge regions). Among these are 8 class 0/I; 4 flat spectrum; and 3 class II. D15 (see their Fig. 1) show that the contamination rate for sources with spectral index ≥ − 0.7 is close to zero. All the sources coincident with our mapped region meet this criterion, hence we do not expect significant contamination according to that criterion. Closer inspection of the corresponding SEDs is needed to better characterize classes and characteristics of these sources, but beyond the scope of the present work.

A.2 X-ray and IR catalog

We compareour continuum sources with the SFiNCs (Star Formation in Nearby Clouds) catalog of Getman et al. (2017) that includes Chandra X-ray data for source selection and Spitzer IR data for source classification. X-ray surveys detect sources with magnetic reconnection flaring near the stellar or disk surface, and Getman et al. (2017) argue that these detections include disk-freestars that would be missed with IR emission, as well as Class I and II sources (see also Feigelson & Montmerle 1999; Feigelson et al. 2013).

Within the same region that we mapped with ALMA, Getman et al. (2017) identified 63 sources (Fig. A.3). Twenty-one of the ALMA continuum detections coincide with the location of X-ray identified sources within the matching radius of 2′′ used by Getman et al. (2017) and Kuhn et al. (2013). All but one of these sources (serps35 near the central cluster) match within ≲ 1′′ (the ALMA beamsize). We indicate these in Table A.1 (right column).

Fig. A.3 Locations of objects identified in the SFiNCS catalog by Getman et al. (2017) shown in diamonds. Black diamonds with no labels are classified as disk sources. Two black diamonds with labels “(N)” are sources with no disk. A small cluster of four gray diamonds labeled “(P)” are “probable member” sources. We do not detect any mm sources coincident with “no disk” or “probable member” sources. Rather, all X-ray sources coincident with mm sources are classified as “disk” sources. Continuum map and red/purple markers are the same as in Fig. 1.

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All of the ALMA mm sources coincident with SFiNCs sources have SFiNCs classification of “DSK”. Two mm sources in the northwest (serps1, serps3) and 1 mm source (serps35) near the central cluster that did not have counterparts identified in the IR catalog by D15 indeed have SFiNCs counterparts. We show in Fig. A.3 that in this region two X-ray identified sources are classified as “NOD” (“no disk”), and four sources are classified as “PMB” (“probable member”), yet do not have any mm continuum emission.

The thirty-one ALMA continuum detections that do not coincide with the location of an X-ray identified source fall into three categories: 21 are located in the central cluster (Fig. 2a,c) where obscuration and blending probably negated the possibility for an IR + X-ray catalog to confidently classify these sources; 8 are located within a few arcseconds of another continuum source that indeed coincides with an X-ray identified source; and 2 are isolated, weak continuum detections.

The twenty-one sources in the central cluster and the 8 located within a few arcseconds of another SFiNCs source correspond to sources that also were not identified by D15, and are discussed in Sect. A.1, apart from serps1, serps3 and serps35 thathave SFiNCs detections but not D15 classifications.

We note that the two isolated, weak continuum detections (serps31 and serps4) with no SFiNCs counterpart are the same two sources mentioned in Sect. A.1 that also did not have IR counterparts identified by D15. As previously stated (Sect. A.1), these are more likely than the others to be non-YSO contaminants.

We do not further delve into the agreement (or not) of the IR detections and classifications presented by Getman et al. (2017) and D15. We simply make the generalization that apart from the most clustered continuum sources, the SFiNCs classification method seems to confirm the young status of YSO members, and the continuum emission detected with ALMA likely corresponds to disks (according to the SFiNCs classifications). Our continuum data show the power to resolve several sources into fragmented (binary or multiple) systems, and especially distinguish protostars in the very clustered central region, but classifying these deeply embedded sources may still be difficult with IR indicators.

A.3 Sub-mm detections with Herschel

We inspected the Herschel column density map and source identifications by Könyves et al. (2015). While extended emission is prevalent, only 4 sources were identified by Könyves et al. (2015) within the coincident ALMA field of view (Fig. A.4). One of these sources (HGBS-J183004.1−020305, core 299) is near the central cluster and likely corresponds to the brightest continuum source serps45; it is classified as protostellar. The extent of the emission in the column density map associated with this source encompasses the majority of compact sources we detect in the central region of the ALMA map (Fig. 2(c)). The other three Herschel sources are located in the northwest of the map near the edge, where our response is lower due to primary beam and mosaicking. Two of these (HGBS-J182959.6−020058, core 285; and HGBS-J182958.2−020115, core 283) correspond within ≤10′′ to two continuum sources, serps7 and serps1, respectively. These offsets are within the HPBW of the Herschel maps. These sources are classified as protostellar and pre-stellar, respectively, by Könyves et al. (2015).

	Fig. A.4 Locations of Herschel identified objects by Könyves et al. (2015) shown in black, with core running numbers from their Table A.2. Continuum map and non-black markers as in Fig. 1.
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	Fig. A.5 Locations of VLA identified objects by Kern et al. (2016) shown in black or gray, with respective labels from their table. Black labels indicate sources classified as YSOs in Kern et al. (2016), while gray labels indicate a classification of “unclear” or “extragalactic”. See Sect. A.4 for full discussion. Continuum map and red/purple markers as in Fig. 1.
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Non-detection in the Herschel images of most of the ALMA millimeter sources is likely limited by the angular resolution of Herschel. Since most of the sources in the ALMA observations appear faint and compact, the signal may be diluted by the large beam size ofthe single-dish observations.

A.4 Radio sources

Kern et al. (2016) made observations with the Karl G. Jansky Very Large Array (VLA) in two bands centered at 4.14 cm and 6.31 cm (beam sizes of 3.1′′ × 2.5′′ and 4.8′′ × 3.8′′. respectively). Radio emission probes high column densities, and can provide evidence of a central source that is young and embedded (André et al. 2000). The radio spectral index is powerful because it can in principle distinguish between thermal free-free emission and non-thermal radio emission (e.g., active galactic nuclei). Twelve radio sources (VLA 6–17) coincide with our mapped region (see Table A.1 right column). VLA 7, 11, 12, 13, 14, 16 and 17 coincide precisely with 1.3 mm continuum detections (respectively, serps61, serps29, serps45, serps33, serps38, serps27 and serps14). VLA 7, 11, 16 and 17 are classified by Kern et al. (2016) as II, I, I and F/II, respectively; these are all classified as Class 0/I by D15, and while the discrepancy in spectral indices is indeed not clear to us, we can generally assume these are young YSOs (and moreover, not extragalactic). VLA 12, 13 and 14 coincide with mm sources in the dense central cluster, where no IR classifications were made. VLA 12 likely coincides with the brightest 1.3 mm continuum source serps45, which also drives a collimated bipolar outflow (Plunkett et al. 2015b), although within 4′′ are also several other mm sources along the mm continuum ridge (Fig. 2c). It is heavily embedded in IR maps, and it is likely Class 0.

Kern et al. (2016) noted that VLA 13 is associated with an infrared source in all IRAC bands except the IRAC 1 band. They conclude based on fluxes at wavelengths spanning from IRAC 2 band (4.5 μm) to PACS 70 μm as well as VLA detections that this source is class 0/I, and our ALMA detection (serps33) provides further evidence. VLA 14 is also deeply embedded at IR wavelengths, and Kern et al. (2016) note that it lies in projection within a gaseous envelope, according to observations from 24 to 250 μm. It is likely an embedded Class 0 object.

VLA 9 and VLA 10 are described by Kern et al. (2016) as “unclear” sources. These lie within ≲ 4′′ of mm sources serps22 and serps26, respectively. VLA 10 is elongated in the NW-SE direction, and hence might be one or two sources, indeed with the SE part most likely coincident with serps26, classified as class 0/I by D15. Hence, we suggest that a protostar is located at the location of the southeastern part of VLA 10, while the northern part of VLA 10 (where we do not detect continuum emission) is either extragalactic or post-shock free-free emission from a neighboring outflow, possibilities introduced by Kern et al. (2016).

VLA 9 is near (~ 4′′) to a weak IR source classified as class 0/I, but we do not detect emission with ALMA. Its radio emission may blend with VLA 10, whose northern emission extends to within a few arcseconds of VLA 9, although VLA 9 appears less extended and more round than VLA 10. Similar to VLA 10, it could be extragalactic, or it could be a second nearby instance of post-shock free-free emission, and it seems reasonable that two cases of this could appear in close proximity given the extent of outflow activity in that region (Plunkett et al. 2015a).

VLA 6 and VLA 8 are significantly isolated and do not correspond with any ALMA continuum detection. VLA 6 is described as “likely extragalactic”. VLA 8 is not discussed further by Kern et al. (2016), but listed as “extragalactic ?”. VLA 15 is located near to the central cluster in projection, but Kern et al. (2016) classified it as extragalactic.

Interestingly, all of the ALMA continuum sources that are coincident with previous radio detections are classified as YSOs, and not extragalactic. Hence by studying the radio map to supplement the ALMA map, we cannot determine that any of our mm source detections are in fact extragalactic contaminants.

References

All Tables

All Figures

	Fig. 1 Leftpanel: ALMA 1.3 mm continuum emission, shown in green contours with levels of 5σ (dark green), 10σ, 30σ, 50σ, 70σ (and thereafter increasing by increments of 50σ, where σ = 0.3 mJy bm−1 corresponds to rms noise in a signal-free region). Gray and black contours show N2H+ emission at levels of 5σ and 10σ, respectively. Dashed magenta boxes outline the regions shown in “zoom” in Fig. 2. Right panel: N2 H+ emission is shown with grayscale (as well as contours as in left panel), zoomed out slightly from the region we mapped with ALMA in order to better display the dense gas filamentary structure of the region. Green contour shows lowest level (5σ) mm continuum emission as shown in left panel. Symbols indicate all identified sources in the region. Red (square, diamond, or circle) indicate a source detected with ALMA. Purple (star, cross, or plus) indicate sources identified by D15, but not detected with ALMA. In this display it is evident that the YSOs areforming in the dense filamentary region, with no mm sources detected in a region where N2 H+ emission is lower than5σ.
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In the text

	Fig. 2 Zoomed views into designated regions of map shown in Fig. 1, especially to show morphologies and source identifications in crowded and/or fragmented cases. Contours are identical to Fig. 1, marking 5σ (dark green), 10σ, 30σ, 50σ, 70σ (and thereafter increasing by increments of 50σ). Labels correspond to the source identification number in Col. 1 of Table A.1 (where sources are labeled as “serps##”).
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In the text

	Fig. 3 a) Millimeter mass vs. distance from “center”. We mark mm sources with no IR counterpart with dark red circles; Class 0/I protostar candidates with red squares; and flat-spectrum SED sources with light red diamonds. The best fit power-law (gray line) has an index of − 1.4 ± 0.2. We note that to perform this power-law fit, we removed the two sources with distances d < 2000 au from the center (points in the lower left). The “center” refers to the plus-sign in Fig. 1, and is discussed in Sect. 4.1. b) Mass vs. N2 H+ integrated intensity. c) Mass vs. N2H+ velocity dispersion. Here “mass” refers to mass of dust and gas based on 1.3 mm continuum emission and the calculation described in Sect. 3.3. N2 H+ integrated intensity and velocity dispersion are measured at each position given in Table A.1.
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In the text

	Fig. 4 a) Minimum spanning tree, as explained in Sect. 4.2, including with black, only mm sources with no IR counterpart (the most deeply embedded candidates); and with green, only mm sources with IR counterpart and classification of Class 0/I. Vertical lines at N = 18 and N = 21 guide the eye to the principle and secondary breaks, suggesting that the 18 most massive sources are more clustered than random samples of 18 sources in the map, and there is a transition before evidence for clustering disappears for lower mass sources, N ≳ 21. Horizontal line at Λ = 1 marks the regime where sources show no evidence for mass segregation. The upper x axis shows corresponding mm mass of the Nth source (considering only the embedded sources with no IR counterpart). b) Distribution of projected separations between unique pairs of millimeter sources (using Knuth binning scheme). Dark red histogram (filled) shows only mm sources with no IR counterpart, while light red (unfilled) histogram shows all sources with mm detection in our map. See Sect. 4.5 for more discussion.
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In the text

	Fig. A.1 Reference map with source labels, corresponding to the numbers in Col. 1 of Table A.1 (in the format “serps##”). Contours and magenta boxes are the same as in Fig. 1, and boxes correspond to regions shown in Fig. 2 in zoom. We simplify the color and marker scheme from Figs. 1 and 2. Here, black indicates a mm source, and gray indicates an IR source with no mm source counterpart. Circle sizes of the markers are not significant, but are smaller in the crowded regions where a zoom version with labels is shown in Fig. 2.
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In the text

	Fig. A.2 IRAC 2 (left) and IRAC 4 (right) maps with same source markers as Fig. 1. These maps can give a sense for sources where continuum emission correspond to a clear and isolated source as seen with Spitzer, or where some confusion with nearby sources is possible. Note that YSO identifications and classifications by D15 following the c2d method required detections in all four IRAC bands (3.6, 4.5, 5.8 and 8.0 μm) and the MIPS 24 μm band.
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In the text

	Fig. A.3 Locations of objects identified in the SFiNCS catalog by Getman et al. (2017) shown in diamonds. Black diamonds with no labels are classified as disk sources. Two black diamonds with labels “(N)” are sources with no disk. A small cluster of four gray diamonds labeled “(P)” are “probable member” sources. We do not detect any mm sources coincident with “no disk” or “probable member” sources. Rather, all X-ray sources coincident with mm sources are classified as “disk” sources. Continuum map and red/purple markers are the same as in Fig. 1.
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In the text

	Fig. A.4 Locations of Herschel identified objects by Könyves et al. (2015) shown in black, with core running numbers from their Table A.2. Continuum map and non-black markers as in Fig. 1.
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In the text

	Fig. A.5 Locations of VLA identified objects by Kern et al. (2016) shown in black or gray, with respective labels from their table. Black labels indicate sources classified as YSOs in Kern et al. (2016), while gray labels indicate a classification of “unclear” or “extragalactic”. See Sect. A.4 for full discussion. Continuum map and red/purple markers as in Fig. 1.
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In the text