A&A 440, 1033-1039 (2005)
DOI: 10.1051/0004-6361:20052961
L. Sidoli1 - S. Mereghetti1 - S. Larsson 2 - M. Chernyakova 3 - I. Kreykenbohm 4,3 - P. Kretschmar 5,3 - A. Paizis 1,3 - A. Santangelo 4 - C. Ferrigno 6 - M. Falanga 7
1 - Istituto di Astrofisica Spaziale e Fisica Cosmica -
Sezione di Milano - IASF/INAF, 20133 Milano, Italy
2 -
Department of Astronomy, Stockholm University, 10691 Stockholm, Sweden
3 -
INTEGRAL Science Data Center, 1290 Versoix, Switzerland
4 -
Institut für Astronomie und Astrophysik - Astronomie,
Univ. of Tübingen, 72076 Tübingen, Germany
5 -
ESA - European Space Astronomy Center, 28080 Villafranca del Castillo, Spain
6 -
Istituto di Astrofisica Spaziale e Fisica Cosmica -
Sezione di Palermo - IASF/INAF, 90146 Palermo, Italy
7 -
CEA Saclay, DSM/DAPNIA/Service d'Astrophysique (CNRS FRE 2591), 91191 Gif-sur-Yvette, France
Received 1 March 2005 / Accepted 20 May 2005
Abstract
The High Mass X-ray Binary Pulsar SAX J2103.5+4545 has been observed with INTEGRAL several times during the last outburst in 2002-2004. We report a comprehensive study of all INTEGRAL observations, allowing a study of the pulse period evolution during the recent outburst.
We measured a very rapid spin-up episode, lasting 130 days, which decreased the pulse period
by
1.8 s. The spin-up rate,
-1.5
10-7 s s-1,
is the largest ever measured for SAX J2103.5+4545, and it is among the
fastest for an accreting pulsar. The pulse profile shows evidence for
temporal variability, apparently not related to the source flux
or to the orbital phase. The X-ray spectrum is hard and there is significant emission up to
150 keV. A new derivation of the orbital period, based on RXTE data, is also reported.
Key words: X-rays: individuals: SAX J2103.5+4545 - X-rays: binaries - stars: neutron - accretion, accretion disks
SAX J2103.5+4545 is a transient Be High Mass X-ray Binary
(HMXRB) pulsar (pulse period 358 s) discovered with the
Wide Field Cameras (WFC) on-board BeppoSAX during an
outburst in February-September 1997 (Hulleman et al. 1998).
A peak intensity of 20 mCrab was reached on 1997 April 11.
The X-ray spectrum in the 2-25 keV energy band
was fit by a power-law with a photon index
= 1.27
0.14modified by photoelectric absorption at lower energies
(
= 3.1
1022 cm-2).
An orbital period of 12.68 days and an orbital eccentricity, e, of
0.4
0.2 were measured with the Rossi X-ray Timing Explorer
(RXTE) during a second outburst lasting about 14 months observed in 1999 (Baykal et al. 2000).
The likely optical counterpart is a B0Ve star (V = 14.2; Reig &
Mavromatakis 2003; Reig et al. 2004), making SAX J2103.5+4545 the Be/X-ray
binary with the shortest orbital period known. SAX J2103.5+4545 does not follow
the correlation found by Corbet (1986) between the orbital and spin
periods in Be/X-ray binaries (which would imply an orbital period
190 days).
The absorption in the direction of the optical counterpart indicates a
distance of 6.5 kpc (Reig et al. 2004), doubling the previous
estimate of 3.2 kpc (Baykal et al. 2002) based on a model for
the spin-up produced by accretion torques (Ghosh & Lamb 1979).
A transition from the spin-up phase to the spin-down regime was
observed with RXTE during the decline in the X-ray flux of the 1999
outburst (Baykal et al. 2002). During the initial part of
the outburst the source exhibited a spin-up phase (the pulse period
decreased by 0.9 s in 150 days), but when the flux dropped the
pulse frequency saturated and, as the flux continued to decline, a
weak spin-down phase started.
This correlation between spin-up rate and X-ray flux indicates the
formation of an accretion disk during the periastron passage. The
X-ray spectrum, described by a power-law with a cut-off around 8 keV,
displayed an iron emission line at 6.4 keV (Baykal et al. 2002).
During an XMM-Newton observation performed in January 2003, Inam et al.
(2004), detected for the first time a soft blackbody component with a
temperature of 1.9 keV and radius 0.3 km (assuming a 3.2 kpc
distance), probably produced in the polar cap of the neutron star, as
well as a transient quasi-periodic oscillation at 22.7 s.
Besides the blackbody component, the 1-20 keV spectrum (using XMM-Newton
and RXTE data) was fit with a power-law with a cut-off at 7.89 keV and
an e-folding energy of 27.1 keV, together with an emission line at
6.42 keV.
The equivalent width of this cold iron line was found to depend on the
spin phase. Using RXTE data (MJD 52 611.48-MJD 52 668.90), Inam et al. (2004) derived a pulse period of 354.7940
0.0008 s (at the epoch of the XMM-Newton observation, MJD 52 645.85) and a 57.5 day average spin-up rate of (7.4
0.9)
10-13 Hz s-1.
Analyses of part of the INTEGRAL observations of the source have been reported by Lutovinov et al. (2003), Sidoli et al. (2004), Blay et al. (2004), Filippova et al. (2004) and Falanga et al. (2005). In this paper we report on the timing and spectral analysis of all INTEGRAL observations performed between December 2002 and July 2004.
The ESA INTEGRAL observatory, launched in October 2002, carries 3 co-aligned coded mask telescopes: the imager IBIS (Ubertini et al. 2003), which allows high-angular resolution imaging in the energy range 15 keV-10 MeV, the spectrometer SPI (Vedrenne et al. 2003; 20 keV-8 MeV) and the X-ray monitor JEM-X (Lund et al. 2003; 3-35 keV). IBIS is composed of a low-energy CdTe detector ISGRI (Lebrun et al. 2003), sensitive in the energy range from 15 keV to 1 MeV, and a CsI detector (PICsIT; Labanti et al. 2003), designed for optimal performance at 511 keV, and sensitive in the 175 keV-10 MeV energy range.
The INTEGRAL satellite performs regular scans of the Galactic Plane (GPS) every 12 days as part of the Core Programme to monitor the timing and spectral properties of known X-ray sources, discover new transient sources and map the diffuse emission from the Galactic plane (Winkler et al. 2003).
From December 2002 to July 2004, SAX J2103.5+4545 was observed several times. Among these observations (170 pointings), some were performed during the satellite performance and verification phase (December 2002), during the GPS (January 2003-July 2004), or during guest observer observations now in the public archive (May 2003). We have performed a comprehensive study of all these observations (see Table 1), concentrating in particular on the timing properties of SAX J2103.5+4545.
The data reduction has been performed using the OSA 4.2
release of the INTEGRAL analysis software, with the corresponding
response matrices. Each pointing has a typical exposure of
2-3 ks. Only observations where the SAX J2103.5+4545 position offset was
less than 9
have been considered.
Only for a few of these
pointings also JEM-X data were available, due to the smaller field of
view of this instrument (offset less than 3.5
). SAX J2103.5+4545 has
been detected in the energy range 20-40 keV with IBIS/ISGRI in 113 pointings (see Table 1).
The 2-10 keV lightcurve of SAX J2103.5+4545 obtained with the RXTE All Sky Monitor (ASM) from 1997 to 2004 is shown in Fig. 1. The times of the two previous outbursts observed with BeppoSAX (in 1997) and RXTE (in 1999), as well as the epoch of the INTEGRAL observations reported here, are indicated.
Table 1:
Summary of the INTEGRAL observations of SAX J2103.5+4545. The observations have been grouped together for brevity. The 1st and 2nd columns list the Start and Stop time
of each group of observations, Col. 3 reports the number of ISGRI pointings where the source
is within 9
of the pointing direction, Col. 4 reports the number of ISGRI/IBIS pointings where SAX J2103.5+4545 has been detected in the energy range 20-40 keV, while the last column
shows if a search for periodicity has been succesfully carried out.
![]() |
Figure 1: ASM/RXTE lightcurve (8-days average) of SAX J2103.5+4545 from the outburst in 1997 to the end of August 2004. Three distinct outbursts are evident, and have been marked as "SAX 1997'' (time of the source discovery with BeppoSAX, Hulleman et al. 1998), "XTE 1999'' (observations with XTE reported by Baykal et al. 2000), "2002-2004'' outburst observed with INTEGRAL. |
Open with DEXTER |
In order to perform the timing analysis, we selected events with a Pixel Illumination Function (PIF, pixel fraction illuminated by the source) larger than 0.5. IBIS/ISGRI events have been collected in the energy band 20-40 keV, where the best statistics was available, while for JEM-X the range 3-30 keV has been used.
Arrival times have been corrected to the Solar System barycenter and
for the Doppler delay due to the motion in the binary system. To
perform this orbital correction, we adopted the ephemeris zero point from Baykal
et al. (2000), but used an updated orbital period,
= 12.670
0.005 days, that we
calculated with epoch folding of all
the available RXTE/ASM data (see Figs. 2 and 3).
For our analysis, based on ASM dwell-by-dwell
data, we used the epoch folding method described in Larsson (1996).
The error estimate is based on Monte Carlo simulations and on
the analysis of pulsations injected into the ASM lightcurve.
From the Monte Carlo simulations we estimate the statistical error
to be
0.003 days. The slightly higher error estimate
above includes also effect of the irregular source variability
on the period determination. This latter effect is estimated
from the injected pulsation.
![]() |
Figure 2:
![]() ![]() |
Open with DEXTER |
![]() |
Figure 3:
SAX J2103.5+4545 RXTE-ASM lightcurve folded at theupdated
orbital period of 12.670 ![]() |
Open with DEXTER |
Since the short duration of each single INTEGRAL pointing
(2-3 ks) leads to a large uncertainty in the
determination of the pulse period (typically about 10 s, even in
presence of good statistics), we grouped the observations where a good
estimate of the pulse period could be achieved in 7 separate
data sets consisting of the pointings performed during the same
satellite revolution.
In Table 2 we list the start and end time of each group of observations, together with the source average IBIS/ISGRI count rate in the 20-40 keV range. In data sets Nos. 1, 4 and 5 JEM-X data are also available, and have been used in the timing analysis.
Table 2: Results of the SAX J2103.5+4545 timing analysis. The 2nd and 3rd columns list the Start and Stop time of each data set, the 4th the averaged IBIS/ISGRI (20-40 keV) source count rate in these epochs, the 5th and 6th columns list the pulse periods measured in the seven INTEGRAL data sets. In data sets Nos. 2, 3, 6 and 7 the source was outside the JEM-X field of view. In data set No. 1 only the pulse period estimated with JEM-X is reported due to several telemetry gaps present in ISGRI lightcurve during this satellite revolution, which hampered a proper timing analysis.
![]() |
Figure 4:
Distribution of ![]() |
Open with DEXTER |
We searched for the SAX J2103.5+4545 spin period by using epoch
folding techniques: we produced distributions versus trial period,
and then we fit them in order to derive the best-fit period for each
data set, and its associated uncertainty (Leahy 1987). An example of
a
distribution is shown in Fig. 4.
The derived pulse periods are reported in Table 2. Our data sets Nos. 1 and 4 include observations partly reported by Blay et al. (2004), Filippova et al. (2004) and Falanga et al. (2004).
A period difference of 1.77 s in
130.5 days is evident from the comparison of results from data sets Nos. 1 and 4, which have the smallest uncertainty
(Table 2). This spin-up is significantly higher than that measured during
previous outbursts of this source.
The pulse period evolution during the INTEGRAL observations is shown in
Fig. 7, where the period measured by Inam et al.
(2004) with RXTE has been shown for completeness. A linear fit to all
these data indicates an average spin-up with a rate of
= -
10-7 s s-1 (
= 21.3,
8 degrees of freedom, d.o.f.).
A few examples of the folded light curves (background subtracted) obtained in different observations with ISGRI and JEM-X are shown in Figs. 5 and 6, respectively.
![]() |
Figure 5:
Few examples of SAX J2103.5+4545 pulse profiles from INTEGRAL observations where a different
shape is evident. From top to bottom, from the left to the right, profiles are
from data sets Nos. 2, 5, 6 and 7, all in the energy range 15-40 keV.
The zero phase is arbitrary. The pulsed fraction, defined as the ratio of maximum minus minimum
to maximum, is ![]() ![]() |
Open with DEXTER |
![]() |
Figure 6: Pulse profiles at soft energies (3-30 keV) with JEM-X, from data set No. 1 ( left panel) and No. 4 ( right panel). |
Open with DEXTER |
![]() |
Figure 7:
Upper panel: a close-up view of the ASM/RXTE lightcurve (8-days average)
during the INTEGRAL observations. The epochs of the INTEGRAL
observations have been marked with vertical lines. Lower
panel: SAX J2103.5+4545 pulse period evolution (triangles mark
JEM-X results; squares IBIS/ISGRI results). The diamonds indicate
the period measured with XTE by Inam et al. (2004). A linear fit to
all the data is reported (solid line) together with the
1-![]() |
Open with DEXTER |
We used data from all INTEGRAL observations to derive a spectrum with a very high signal to noise ratio. Since the source exhibits no significant spectral evolution during the outburst, this can be safely done.
The average source spectrum from 5 to 200 keV, has been investigated
by simultaneously fitting JEM-X (5-20 keV) together with IBIS/ISGRI
(20-200 keV), and SPI (20-200 keV) spectra, achieving net exposure
times of 40 ks, 290 ks and 130 ks, respectively for the three instruments. An additional uncertainty of 5% was added quadratically to the statistical errors to account for systematic uncertainties in instrumental responses. Free relative normalizations between the
three instruments were included. Since the energy range (5-200 keV)
is not sensitive to the interstellar column density, we
fixed it at 3
1022 cm-2 (Hulleman et al. 1998).
A single power-law is not able to describe the broad-band
spectrum (reduced > 2). The best-fit (
= 121.9 for 129 d.o.f.) is an absorbed power-law with a high energy cut-off (see
Fig. 8), with the following parameters: photon index
= 1.53
+0.08 -0.07, cut-off energy
= 19
+11 -4 keV and e-folding energy
= 32
3 keV. The 5-200 keV observed flux is
1.05
10-9 erg cm-2 s-1 (based on the JEM-X
response matrix). The source flux in the 2-10 keV energy range,
corrected for the absorption, is
4.2
10-10 erg cm-2 s-1, which
translates into a luminosity
= 2
1036 erg s-1 (2-10 keV,
for a distance of 6.5 kpc).
![]() |
Figure 8: Left panel: SAX J2103.5+4545 counts spectrum (5-200 keV) extracted from JEM-X (5-20 keV), IBIS/ISGRI (20-200 keV, upper counts spectrum) and SPI (20-200 keV, lower spectrum) instruments. The best-fit model (histogram) is an absorbed power-law with a cut-off at high energies (see text for the best-fit parameters). The residuals displayed in the lower panel are in units of standard deviations. Right panel: SAX J2103.5+4545 unfolded spectrum together with the best-fit model (solid line). |
Open with DEXTER |
We have studied all the available INTEGRAL observations of SAX J2103.5+4545, obtained from December 2002 to July 2004. They cover part of the latest source outburst, which is the longest and brightest observed from this source since its discovery in 1997.
To perform a proper timing analysis of the INTEGRAL observations,
we re-determined the orbital period of the binary system using ASM/XTE public data,
obtaining a refined
of 12.670
0.005 days (to be compared with
of 12.68
0.25 days, measured with XTE during the 1999 outburst by Baykal et al. 2000).
The SAX J2103.5+4545 pulse profiles observed with INTEGRAL show evidence for
temporal variability over the same energy range (15-40 keV),
where a single asymmetric pulse profile seems to evolve to a double-peaked profile
in some of the observations.
On the other hand, in the lightcurves extracted
at softer energies (3-30 keV) there is no clear evidence for a secondary peak.
The INTEGRAL observations unfortunately do not cover the
entire orbital phase; in particular, the data sets Nos. 3, 5, 6 and 7 sample roughly the same orbital phase (these are indeed GPS observations, which are performed every 12 days, a value close to the source orbital period). Thus, apparently the complex variability of the pulse
profile does not depend on the orbital phase. Also an obvious dependence on the
source luminosity seems to be unlikely, since we observe different pulse
periods from observations at similar fluxes (e.g., data sets Nos. 2 and 7).
The complex variability of the pulse profiles is a common feature among
the class of accreting binary pulsars, also over the same energy range
(White et al. 1983; Bildsten et al. 1997). In some sources the
pulse shape variability shows a clear dependence on the source luminosity
(first observed in EXO 2030+375, Parmar et al. 1989) or on the
energy range (e.g. Vela X-1, Kretschmar et al. 1997).
A simple geometric model with two pencil beams coming from the magnetic poles
is too simple to explain the pulse profiles in most pulsars, and a more
complex emission pattern or the inclusion of scattering effects in
the transfer through highly magnetized plasmas are needed (e.g., Nagel 1981).
A computation of pulse profiles of medium-luminosity (
1036 erg s-1)
binary X-ray pulsars has been performed by Kraus et al. (2003), who found that
energy-dependent peaks in the profiles are mainly due to energy-dependent
relative importance of the halo (which forms around the accretion funnel where
the neutron star surface is irradiated) and the column contributions to the observed flux.
It is also possible that the temporal variability of
the pulse profile we observe in the same energy range can be due to time-dependent emission pattern, or to changes in the opacity of the magnetized plasma where the radiation propagates.
The pulse period evolution measured with INTEGRAL shows clear evidence for a spin-up
episode, lasting at least 130 days from MJD 52 629.9 (data set No. 1)
to MJD 52 761.3 (data set No. 4), where the pulse period decreased by
1.77 s.
Considering the overall pulse period history during the latest outburst (Fig. 7),
a linear fit results in a spin-up rate =
10-7 s s-1.
We cannot exclude a more complex evolution of the pulse period than a simple steady spin-up over more than 1.3 years. In particular, it is likely that the spin-up trend induced by the accretion does not extend until the epoch of the data set No. 7.
A variation in the accretion rate can modify the pulse period
derivative. A correlation of the spin-up rate with the X-ray flux has
been indeed found for SAX J2103.5+4545 by Baykal et al. (2002) during the 1999
outburst, as predicted by the Ghosh & Lamb (1979) model for the
torques exerted on the neutron star during the accretion through a
disk. The existence of this correlation is indeed indicative of the formation
of an accretion disk around SAX J2103.5+4545 during that outburst.
The last pulse period measured with INTEGRAL (data set No. 7) has
been determined after a long faint state lasting about 300 days
(Fig. 7, upper panel). The reduced accretion rate
could have increased the SAX J2103.5+4545 pulse period (a spin-down phase
followed the spin-up trend during the 1999 SAX J2103.5+4545 outburst, Baykal et al. 2002), although the large uncertainty in the pulse period at that
epoch (P = 355
3 s) does not permit to draw firm conclusions.
The formation of an accretion disk in SAX J2103.5+4545 during the outburst in 1999 has been established from RXTE data (Baykal et al. 2002). Furthermore, the fact that our estimate of the spin-up rate (the highest ever measured in this source) has been measured during the brightest outburst observed from SAX J2103.5+4545 indicates that the correlation between luminosity and spin-up is still valid. It is thus tempting to discuss our results on the source spin-up rate in the framework of the Ghosh & Lamb (1979) theory.
In Fig. 9 we compare the measured pulse period
derivative of -1.49
10-7 s s-1 with the
theoretical relation between the spin-up rate of a 1.4
neutron star and the quantity
,
where P is the pulse period
in seconds, and L is the source luminosity in units of
1037 erg s-1 (Ghosh & Lamb 1979). Thus, assuming that
the distance of 6.5 kpc is correct, a magnetic moment of
1.6
1030 Gauss cm3 is needed to explain the
spin-up rate. This translates into a magnetic field
of
1012 Gauss, which would imply a cyclotron line at
energies around
10-20 keV, not observed in the source spectrum.
The absence of lines could suggest a much higher neutron star magnetic
field,
1013 Gauss, but this would imply a smaller
distance, around 5 kpc. A distance of 5 kpc also agrees with the maximum spin-up trend
measured with XTE during the 1999 outburst (Baykal et al. 2002): a
pulse period derivative of
8.9
10-8 s s-1(and pulse period P = 358.166 s) for a source flux of
6
10-10 erg cm-2 s-1 can be explained
with a neutron star of 1.4
and a magnetic moment
1031 Gauss cm3, located at a distance of about 5 kpc.
However, note that there are uncertainties in the dimensionless angular momentum adopted in the accretion torque theory (Li & Wang 1996), which could significantly modify the estimate of the source distance derived with this method (see, e.g., Tsygankov & Lutovinov 2005, on the binary pulsar KS 1947+300). Another uncertainty is due to the source flux we adopted here, which is not the bolometric flux and has been measured from the average INTEGRAL spectrum in the energy range 5-200 keV.
![]() |
Figure 9:
Measured spin-up rate (horizontal dashed lines show the 1![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Open with DEXTER |
The spin-up rate measured with INTEGRAL from SAX J2103.5+4545 is the largest experienced by this source (likely because of the higher brightness of the latest outburst) and is among the largest found for an X-ray binary pulsar. The frequent monitoring (as that performed with INTEGRAL during the GPS) of accreting pulsars is essential in the determination of the pulse period evolution, and crucial to test accretion theories.
Acknowledgements
L.S. thanks Joern Wilms for useful suggestions. We acknowledge the Italian Space Agency financial and programmatic support via contract I/R/046/04.