A&A 492, 23-29 (2008)
DOI: 10.1051/0004-6361:200809988
B. X. Santiago
Instituto de Física, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, CP 15051, Porto Alegre, Brazil
Received 16 April 2008 / Accepted 11 August 2008
Abstract
Context. Luminous elliptical galaxies generally display a rich star cluster system, whose properties provide strong constraints on the physics of galaxy formation and evolution. Star cluster system studies, however, concentrate on galaxies located in nearby or rich galaxy clusters.
Aims. We acquired deep B and I images of NGC 1600, a luminous elliptical in a galaxy group to study its star cluster system. The images were obtained with the Optical Imager at the Southern Telescope for Astrophysical Research for an exposure time of 1.66 h in each filter.
Methods. The sample selection incompleteness was assessed as a function of magnitude and image background level. Source counts were measured for different elliptical annuli from the centre of NGC 1600, background subtracted, and fitted with a Gaussian function. Colour distributions were derived as a function of galactocentric distance for sources measured successfully in both filters. Typical ages and metallicities were estimated based on single stellar population models.
Results. A clear excess of point sources around NGC 1600 was found in relation to the nearby field. The source counts were consistent with a Gaussian distribution typical of other luminous ellipticals. The luminosity function fits provided an estimate of the density of clusters at the different annuli that could be integrated in solid angle, resulting in an estimated total population of
star clusters. This yielded a specific frequency of
.
The colour distributions show a hint of bimodality, especially at
20 kpc from the centre. Clusters in this region may be associated with a ring or shell perturbation. Finally, the star cluster candidates were cross-correlated to discrete X-ray sources and a coincidence rate of
was found. These are likely to be globular clusters harboring low-mass X-ray binaries.
Key words: galaxies: individual: NGC 1600 - galaxies: evolution - galaxies: elliptical and lenticular, cD - galaxies: formation - galaxies: clusters: general
Star cluster systems reveal significant information about their host galaxy formation and evolution. By far, luminous ellipticals display the most conspicuous cluster systems and have been the popular targets for studies of star cluster populations (Kundu et al. 1999; Harris et al. 2006). Studies are also concentrated on nearby galaxies, some in the field, but most often in galaxy clusters, such as Virgo and Fornax (Larsen et al. 2001; Santiago & Elson 1996; Kissler-Patig et al. 1997; Peng et al. 2006; Strader et al. 2006). An important result of detailed analyses of extragalactic clusters is that clusters in luminous elliptical galaxies present bimodal colour distributions. These are often interpreted as evidence for separate episodes of star and cluster formation, often involving galaxy merging (Ashman & Zepf 1992; Cotê et al. 1998; see recent review by Brodie & Strader 2006). Even though most studies refer to extragalactic star cluster systems as globular cluster systems, as in fact globular clusters dominate the cluster counts, the discovery of new classes of clusters, such as faint fuzzies (Larsen & Brodie 2000; Brodie & Larsen 2002) and diffuse star clusters (Peng et al. 2006) suggests that a broader terminology should be adopted.
Galaxies in lower density environments, such as galaxy groups, have also been studied for the presence of extragalactic star clusters (i.e., Kundu & Whitmore 2001; Chies-Santos et al. 2006). However, many bright elliptical galaxies in groups still lack an investigation of their cluster system. One such case is the luminous elliptical galaxy NGC 1600.
NGC 1600 is the most luminous elliptical in its loose galaxy group, which also contains two other early-types: NGC 1601 and NGC 1603. Optical surface photometry, both photographic (Barbon et al. 1984) and CCD (Mahabal et al. 1995) imaging were obtained for the galaxy. Near infra-red surface photometry was completed by Rembold et al. (2002). These studies revealed a flattened and boxy shape. Sivakoff et al. (2004) obtained Chandra X-ray images and identified dozens of point sources superimposed on the diffuse emission. They tentatively associated the unresolved sources, some of which are classified as ultra-luminous in X-rays, with the population of globular clusters (GCs).
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Figure 1: Close up on the southern side of NGC 1600 using the final SOI/SOAR images. North is upwards and East is to the left of the images. Left panel: I band; right panel: B band. |
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In this paper, we attempt to detect the star cluster system of NGC 1600 using deep imaging with the Southern Telescope for Astrophysical Research (SOAR). Our primary goal is to estimate the total number and specific frequency of clusters in NGC 1600, to derive their colour distribution and associate the star cluster sample with the X-ray point sources identified by Sivakoff et al. (2004).
Deep images of NGC 1600 were taken with the SOAR telescope in B and I filters. The SOAR Optical Imager (SOI) consists of two E2V CCDs,
each one with 2 k 4 k pixels, covering a field of view of
arcmin. A
binning was used, yielding a detector scale of 0.154 arcsec/pixel. A total of
s exposures (1.67 h integration
time) were taken in slow read-out mode with each filter during two
nights. Photometric standards were also
observed on the same nights, along with bias and flat-field images.
The individual exposures were bias-subtracted and flat-fielded using standard tasks from the Image Reduction and Analysis Facility (IRAF). The SOI I band images are affected by interference that causes a large-scale fringing pattern. These were corrected using the IRAF mscred.rmfringe task, which computes the pattern amplitude minimizing the difference between the target image and a fringe pattern image (usually blank sky), and corrects the former. The original Multiple Extension Format (MEF) files were converted into Flexible Image Transport System (FITS) files, again using the IRAF mscred package. The exposures from the same filter were aligned and combined into a final image, which was used for sample selection and photometry. Figure 1 shows a close-up of the southern side of NGC 1600 of the final I and B combined SOAR/SOI images. A large number of point sources are seen superimposed onto the galaxy's diffuse light. These are the star cluster candidates. The northern side of the image is partly affected by a strong diffraction spike from a very bright star. Also present in the SOI field (but not in Fig. 1) are the two other galaxies belonging to the same group, NGC 1603 and NGC 1601.
The IRAF daophot package was used to identify point sources
and measure their aperture magnitudes. This was completed separately in
each of the B and I combined images. Sources with a detection confidence
interval 2.5
above the sky
background were automatically detected with daofind. An aperture of
4 pixels = 0.61 arcsec was adopted to measure the magnitudes in both
filters using the task phot from the same package. The magnitudes
were measured over the combined image used for source selection but
after the diffuse light from NGC 1600 was modelled and
subtracted-off. Isophote fitting with the IRAF task ellipse was
applied to model the
galaxy intensity distribution. This information was then used to
generate a model of NGC 1600 with the task bmodel. This model was
subtracted from the combined image to produce magnitude
measurements that were unaffected by the steep gradient caused by NGC 1600 light
profile. Since a low threshold above the background was adopted in
daofind, a visual inspection of the model subtracted image
revealed an insignificant amount of extra cluster candidates
relative to the automatic detection. This is important, because
it is far easier to compute photometric incompleteness in a sample
selected by an automatic procedure rather than by eye.
Photometric calibration was based on 36 magnitude measurements in
each filter for 7 standard stars taken from Landolt (1992) and
observed at different airmasses. The magnitudes were measured in the
same aperture as the point sources in NGC 1600. The calibration fields used for this
purpose were SA 95 and PG0231+051 listed in Landolt (1992). The
calibration transformation from
instrumental magnitudes into Johnson-Cousins system included a linear
(B-I) colour term, a linear airmass term, and a zero-point. A least
squares fitting of the three coefficients was carried
out for each filter separately. Saturated stars and deviant
measurements were eliminated by applying a -clipping
algorithm iteratively to the magnitude residuals,
until convergence. In the B band, a total of 11 measurements were
eliminated in the clipping process; for the remaining 25 measurements,
the final fit dispersion was
.
In the I-band,
16 measurements were used in the final fit, with a dispersion
.
After calibration, magnitudes were corrected for foreground extinction in the direction towards NGC 1600. Schlegel et al. (1998) quoted AB=0.191 and AI=0.09. Burstein & Heilles (1982) quoted AB=0.08. The average of both AB determinations was taken, yielding AB=0.14. Correspondingly, AI = 0.065. These values were used to correct the calibrated magnitudes and colours, when available.
Completeness experiments were performed on the combined images using
the daophot.addstar task. Artificial stars spanning a wide range
of B and I magnitudes were added to the combined images. These were
created by fitting a moffat point spread function (with
)
fitted to bright, isolated, and non-saturated point sources
found in the images themselves. The fraction of recovered artificial
stars depended not only on their magnitudes but also on their
location, and was lower in regions close to the centre of NGC 1600,
where the background was dominated by the galaxy light. The
effect of NGC 1603 and NGC 1601 on sampling
completeness in the B and I image was also modelled. The background
level was locally contaminated by a strong
diffraction spike towards the north of NGC 1600. This region
was masked during the analysis, in addition to the saturated regions
in NGC 1600, NGC 1603 (in I only), and NGC 1601 (in both B and I images).
From the completeness experiments, the completeness
function could be modelled as a bivariate function of magnitude and
background level. This was achieved as follows: for each point source
found in a given filter, we first determined, by cubic spline
fits to the completeness vs. magnitude relation, the completeness
fraction at its measured magnitude for different
sky levels. This yielded a completeness versus sky level relation at the
source magnitude. Another cubic spline was then applied to this
relation to evaluate completeness at the background
level at the location of the source. Each star was then assigned a
weight equal to the product
where c(B) and c(I)
are the completeness fractions calculated for the B and I images,
respectively.
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Figure 2:
Panel a): total source counts as a function of
calibrated B magnitudes in different elliptical annuli
centred on NGC 1600. The solid line shows the
source counts in the field region, away from NGC 1600 and
from the other galaxies in its group. The semi-major axis
range (in pixels) of the different annuli is given in the
lower-right.
Panels b), c): the symbols are the field-subtracted
counts in the same annuli as in panel a).
The middle lines are Gaussian fits to the counts, using
Eqs. (1) and (2). The lines immediately above and below of
each fit are Gaussian functions with a 1![]() ![]() |
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Source counts as a function of B and I magnitudes were then derived
for several independent elliptical rings around NGC 1600. These are
shown in Figs. 2 and 3 for
the samples selected from the B and I images, respectively. The units are
sources kpc-2 and the plots are in logarithmic scale. Since a bin size
of
was used, the numbers were doubled to be normalized to unit magnitude. Image surface was
converted into physical surface assuming that NGC 1600 is at
a distance of 63.0 Mpc (taken from NASA Extragalactic
Database, NED
).This
corresponds to a distance modulus of
(m-M)0 = 34.0 and yields
a conversion of
pix.
The radial ranges given in the figure panels correspond to the inner
and outer semi-major axis
of each elliptical annulus used. Panel a
shows the total counts, including the background sources located
away from NGC 1600 and the other galaxies in its group. The
remaining panels show the excess source counts around NGC 1600
after the field counts were subtracted at each elliptical annulus.
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Figure 3:
Panel a): total source counts as a function of
calibrated I magnitudes in different elliptical annuli
centred on NGC 1600. The solid line shows the
source counts in the field region, away from NGC 1600 and
from the other galaxies in its group. The semi-major axis
range (in pixels) of the different annuli is given in the
lower-right.
Panels b), c): the symbols are field-subtracted
counts in the same annuli as in panel a).
The middle lines are Gaussian fits to the counts, using
Eqs. (1) and (2). The lines immediately above and below
each fit are Gaussian functions with a 1![]() |
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We assume that all excess counts are star clusters, most
of them globular clusters, belonging to NGC 1600 and
attempt to fit the globular cluster luminosity function (GCLF) at the
different radii. A Gaussian GCLF was assumed to have the form:
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(1) |
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(2) |
The upper and lower lines shown in Figs. 2
and 3 represent
confidence levels
in
for the best-fitting Gaussian functions. The variation
in
was measured
with 300 bootstrap realizations in which the source counts were varied
according to a Poisson distribution and the fit was repeated. In generating
these realizations, a Gaussian distribution of shifts in the assumed distance
modulus and
,
with zero mean and standard deviation
and
were also applied, to simulate uncertainties in these quantities.
We emphasize that the adopted typical variation of 0.1 mag in
distance modulus is larger than the expected uncertainties in the
Hubble constant and flow models, and that this variation alters our
answers by less than the amplitude of the Poisson fluctuations.
Table 1: Estimated star cluster surface densities at different elliptical annuli from sample in B filter.
Table 2: Estimated star cluster surface densities at different elliptical annuli from sample in I filter.
These fits in conjunction with the assumed Gaussian model for the GCLF allow us to estimate the size of the star cluster system of NGC 1600.
The
values and the expected total number of GCs
are listed in Tables 1 and 2 for each annulus.
The latter is given by
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(3) |
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Figure 4: The points correspond to the star cluster density profile measured using source counts in the I (solid circles) and B bands (open circles). The star and the cross in the inner region are linear extrapolations in the figure of the measured densities in I and B, respectively. The curves show the surface brightness profiles in I (dashed line) and B (dotted line), in arbitrary units. |
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The points marked with an asterisk in Tables 1 and 2 are estimates based on inward extrapolations
of the source densities from the other bins. They correspond to
regions in which the high intensity of the galaxy caused saturation
(or a non-linear response regime on the CCD) and prevented reliable detection
and measurement of magnitudes for a sizable sample.
The study of these inner regions is however
necessary to allow an estimate of the total number of star clusters in
NGC 1600. Also shown in the tables is the cumulative
number of clusters. The system size derived from these counts
is almost independent of the band used. The expected total number
of clusters in NGC 1600 is
.
Assuming MV=-23.1 to be the absolute magnitude of this galaxy,
we derive
for its specific frequency of clusters. This is relatively low
for a luminous elliptical such as NGC 1600. Dirsch et al. (2003) measured
for the cD in Fornax cluster, NGC 1399. Rhode & Zepf
(2004) found that
and
for NGC 4406 and
NGC 4472, respectively, in Virgo. These galaxies are of similar luminosity but located
in higher density environments than NGC 1600. It is therefore possible that the
difference in SN is an environmental effect. However,
Forbes et al. (1997) measured
for the luminous cD group
galaxy NGC 5846. Another
possibility is that the star cluster system of NGC 1600 extends
further beyond the edge of the SOAR image field-of-view, even though the field includes all
diffuse light from the galaxy. We cannot presently exclude this
possibility and this SN estimate should be regarded as a lower limit.
Figure 4 shows the estimated density of stellar
clusters belonging to NGC 1600 as a function of galactocentric
distance, expressed in terms of semi-major axis of the elliptical
annulli. The densities are in units of star clusters kpc-2 and were
obtained by integration of Eq. (1) over all magnitudes at each
distance bin. The points shown as stars or crosses are the result of
inward extrapolation of the measured densities, as discussed above.
Figure 4 also shows, for comparison, the surface brightness profiles of
NGC 1600 for both filters. These profiles were derived
from the isophotal fitting of data for NGC 1600 described earlier. We note
that the cluster system follows the light profile of the field
stars out to the projected distances probed (
pix
kpc). This is in contrast to that observed for several other
luminous ellipticals (Harris 1986), although, as afore mentioned,
we cannot exclude the existence of an envelope of star clusters
outside the field studied.
Colour distributions are a useful discriminator between the different
star cluster sub-populations, and may reflect different star and
cluster formation events within a galaxy. Figure 5 shows
the (B-I) colour distribution for the point sources that have
colour information. The units are again in sources kpc-2 and
the bin size used was
.
Panel a shows total colour counts
of sources with B < 27 for the same annuli as in Fig. 3. Panels b and c show the field subtracted
source counts.
A spatial colour gradient is visible in the panels, in the
sense that redder star clusters tend to be found closer to the centre
of the host galaxy. The average star cluster colour varies from
in the innermost region shown in Fig. 5 to
in the
pix (
kpc) annulus. This may reflect true changes
in metallicity
or age, although redenning caused by dust may also contribute. Similar
trends were observed by Forbes et al. (1997) in the central group
elliptical NGC 5846, and are also common in luminous
cluster ellipticals (Lee & Geisler 1993; Harris et al. 1998;
Larsen et al. 2001).
There is a hint of bimodality in the distributions associated with
NGC 1600 both in the inner regions and beyond
pix (R > 17 kpc).
The large peak in the inner regions of NGC 1600, with
(see panel b), is typical of an old (
Gyr) and fairly metal-rich (
)
single
stellar population
according to the models by Bruzual & Charlot (2003) and assuming
extinction to be negligible. Comparable (B-I) colours were found
by Grillmair et al. (1999) for NGC 1399 and NGC 1404. The smaller
peak at
is also
present in the region
pix (
kpc), again shown in panel b of Fig. 5.
This colour requires lower metallicity
for an old
population or significantly younger ages,
Gyr, at
solar abundance.
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Figure 5: Panel a): total source counts as a function of calibrated (B-I) colours in different elliptical annuli centred on NGC 1600. The solid line shows the source counts in the field region, away from any of the galaxies in NGC 1600 group. Panels b), c): field subtracted counts in the same annuli as in panel a), as indicated. |
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A clearly larger spread in colours, with two likely peaks,
is observed in the intermediate annulus
pix (
kpc), shown in panel c of Fig. 5. The redder peak has approximately
the same colour,
,
as an old star
cluster with
.
The bluer peak, however, has
.
According to Fig. 4, this region coincides with
the position of a bump in the light profile of the galaxy, which is
more pronounced in the blue. Probably, this is a ring or shell. Its blue colour is
also consistent with the
smooth profile in the near infra-red bands shown by Rembold
et al. (2002). In fact, Forbes & Thomson (1992) identified
an outer shell in NGC 1600 in an R band image.
It is possible that the larger spread in colours about this distance
may be associated with this feature and the bluer cluster peak
may represent a younger population of star clusters
formed at the onset of the perturbation in the host galaxy.
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Figure 6: On-sky distribution of optical and X-ray sources in NGC 1600's group. The small dots are star cluster candidates selected in this work. Only sources with magnitudes and colours in the ranges where an excess is seen relative to the field are are plotted. The large circles are the discrete X-ray sources from Sivakoff et al. (2004). The crosses indicate matched optical/X-ray sources. |
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The sample of star cluster candidates was cross-referenced with the list of 71 discrete X-ray sources from Sivakoff et al. (2004). Positional matches were achieved on the basis of the equatorial coordinates. The astrometry of the SOI sources assumed a linear relation between CCD and on-sky positions, for the CCD plate scale of 0.154 arcsec/pixel. This assumption was tested with the known coordinates of the 3 galaxies imaged, NGC 1600, NGC 1603, and NGC 1601. The differences between their equatorial coordinates, as listed in the NASA Extragalactic Database (NED), was compared with the expected differences based on the adopted linear transformation from their CCD (x,y) positions. Discrepancies of <1.5 arcsec were found in all cases, both in declination and right ascension.
In attempting to identify the cluster candidates with the X-ray sources we permitted residual offsets in our coordinates relative to those listed by Sivakoff et al. (2004). The approach was to start with the null-hypothesis that several optical/X-ray coincidences should be found, and then search for the offsets in right ascension and declination, within 3 arcsec from our nominal positions, that maximized the number of matches between the two samples. Only optical sources, whose magnitudes and colours were consistent with those of star clusters in NGC 1600 (or in its group), were used in this positional matching process.
Of the 71 discrete X-ray sources identified by Sivakoff et al. (2004), a total of 49 were located inside the SOI field limits. Sixteen optical/X-ray coincidences were found, and the offsets in equatorial coordinates that resulted in this number of matches were 1.75 arcsec in right ascension and 0.25 arcsec in declination. Figure 6 shows the on-sky distribution of the optical and X-ray sources. The two clumps of optical sources correspond to NGC 1600 and NGC 1603. Eleven of the coincidences are clearly associated with NGC 1600, being within 40 kpc (132 arcsec) of its centre. A total of 28 X-ray sources are in this same region, yielding a coincidence rate of 39%. This may be an underestimate, given the optical sample incompleteness, although there is a known trend towards optical/X-ray coincidences being related to bright sources in the optical (Chies-Santos et al. 2006; Kundu et al. 2007; Sivakoff et al. 2007). For example, Kundu et al. (2007) studied 5 early-type galaxies using HST data, and found that the vast majority of clusters harbouring low-mass X-ray binaries (LMXBs) have MI < -9. Similarly, most GCs with a LMXB in the sample of 11 luminous elliptical and S0 galaxies in Virgo studied by Sivakoff et al. (2007) have Mz < -9. Due to the detection limits of the SOAR photometry, we note that all 16 matched sources in this work have MI < -10 (or MV < -8.8) if they are at the distance of the NGC 1600 group.
Kundu et al. (2007) and Sivakoff et al. (2007) also found that GCs with LMXBs had a strong tendency to belong to the red peak of the colour distribution. In the case of NGC 1399, Kundu et al. (2007) found that all clusters with LXMBs had (B-I) > 1.7. In our NGC 1600 sample, we found 4 optical/X-ray matches with bluer (B-I) values. The remaining 7 objects have redder colours. Since the sample was small and we are unable to confirm that individual objects are star clusters in NGC 1600, it is currently impossible to assess if this apparent discrepancy is significant.
Table 3 lists the 16 sources found to coincide with X-ray discrete sources; both optical and X-ray properties, the latter taken from Sivakoff et al. (2004), are listed. The top 11 entries are those of sources located around NGC 1600. Inspection of Table 3 does not reveal any strong systematics between X-ray luminosity and optical colour or magnitude, although the range in the optical quantities is small. Only one of the sources listed in the table was previously related to an optical counterpart by Sivakoff et al. (2004): this was source 40, which is close to the centre of the companion galaxy NGC 1603. All sources matched but one, source 3, are consistent with being point sources, according to these authors. Source 3 is close to the centre of NGC 1600.
Table 3: Sample of Optical/X-ray coincidences.
Deep B and I photometry of the galaxy group of NGC 1600 has been obtained
using the SOAR telescope. Several thousand point sources were found
in the field for both filters. There was a significant excess of
point sources around the luminous elliptical NGC 1600, which we
associated with its star cluster system. Magnitudes and colours were measured
and sample incompleteness was also quantified. The star cluster
luminosity functions at different elliptical annuli around NGC 1600 are
all consistent with a Gaussian of typical average luminosity and
dispersion. Assuming this functional form, the total surface
density of star clusters, corrected for sampling incompleteness, has been
obtained as a function of galactocentric distance. The density distribution is
similar to the underlying light distribution of the galaxy.
A total of
star clusters were estimated to exist
within the central 40 kpc of NGC 1600, yielding a specific frequency
of
in this region. Since the cluster system may extend
beyond the diffuse galaxy light and the limits of the field studied, this
estimate should be considered as a lower limit.
The colour distribution has a hint of bimodality, especially at the
centre of NGC 1600 and at an intermediate region 20 kpc
away. The reddest and most significant peak at the centre is consistent with
a
Gyr old metal-rich (
)
star
cluster population. The bluer peak, which also
dominates the cluster counts at
kpc, is either an
old population with 1/5 of the solar abundance or a 2.5 Gyr old
population of solar metallicity.
The colour distribution becomes particularly wide and bimodal
at 20 kpc from the centre of NGC 1600. This region coincided
with a bump in the surface brightness profile of the host galaxy,
which is clear in the B filter image and completely
absent in the near infra-red. This is probably a ring or shell,
as previously suggested by Forbes & Thomson (1992). This
perturbation may have been accompanied by star and cluster formation. The
bluer colours found in the cluster sample in this region may
be related to such a star formation event, which would indicate a
relatively young star cluster population.
Finally, the optical cluster sample has been cross-correlated with the
discrete X-ray sources from Sivakoff et al. (2004). The coincidence rate within
40 kpc of the galaxy centre, where an excess of point
sources in the optical is clearly seen, is .
The optical/X-ray
coincidences vary widely in X-ray luminosity and optical
colours, but due to the magnitude limit of the SOAR image they all
correspond to optically luminous star clusters (MI < -10). Since previous
studies, based on Chandra and HST data, indicated that clusters with LMXBs are
preferentially luminous, it is possible that the sample of optical/X-ray
matches that we have found is a reasonably complete census of GCs
harbouring X-ray sources in NGC 1600.
Except for one source, all matched sources are consistent
with being unresolved in the Chandra images.
Acknowledgements
This work was supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) in Brazil through a research grant to BXS. The author thanks the staff at SOAR for taking the data.