Spectral analysis of the binary x-ray pulsar 4U 1538-52 observed by RXTE José J. Rodes, José M. Torrejón and Guillermo Bernabéu Departament of Physics, Systems Engineering and Signal Theory University of Alicante Abstract We present pulse-phase resolved X-ray spectra of the high mass binary 4U 1538-52 using all the available data from the Rossi X-ray Timing Explorer (RXTE) archives. This binary X-ray pulsar was observed from the RXTE in 1997 January and 2001 January for a complete orbital period. Also, 4U 1538-52 was observed for a year taking a spectrum by month from 1996 November to 1997 December. We have not found evidence for the first harmonic at ≈ 40 keV in the spectra, both phase resolved and averaged (as Mihara 1995 and Coburn 2001). However, we found evidence for a feature between 50 and 60 keV in the RXTE data (also reported by Robba et al. 2001 from BeppoSAX). So we conclude that this feature may be a real feature and although weak we show that it is visible in phase averaged spectra. 1 Introduction 4U 1538-52 is a high mass X-ray binary star system formed by a compact object (neutron star) and a massive B0 I star (∼ 17 M ). Uhuru was the first satellite X-ray observatory that detected this system (Giacconi et al. 1974). The neutron star has a spin period ∼ 529 s (Davison 1977; Becker et al. 1977). The orbital period is ∼ 3.73 days (Clark 2000) and, assuming a distance of 5.5 kpc, the X-ray luminosity is ∼ 4×1036 erg · s−1 (Becker et al. 1977; Parkes et al. 1978). The magnetic field plays an important role in the X-ray binary systems. The only direct evidence for neutron star magnetic field strengths is provided by X-ray cyclotron ”absorption lines”. Although these quasi-harmonic 1 Figure 1: Spectrum of 4U 1538-52 and residuals with the best fit model using the NPEX component lines appear in absorption, they are not absorption lines in the true sense. Cyclotron lines are spectral features due to inelastic scattering off electrons which are quantized in the strong magnetic fields of neutron stars. In this sense, these lines are known as Cyclotron Resonance Scattering Features (CRSFs). To perform phase resolved spectroscopy of the CRSF, we need first to define the continuum correctly. We found that the Negative Positive power law EXponential (NPEX-model; Mihara 1995) describes it properly. Then we estimated the modified Julian Date using xTime, a time conversion utility for RXTE, and used the orbital ephemeris from Makishima et al. 1987. In this work we present the spectrum of 4U 1538-52 in the energy band (3-100 keV). We clearly show that spectra can be well fitted when an iron emission line at 6.4 keV and a cyclotron absorption feature at 20 keV are added in the model. If the second harmonic is present, it is very weak and there is no evidence yet. However, another feature may be present at a higher energy. 2 Discussion and conclusions We have analysed spectra from the source 4U 1538-52 and used different continuum models to fit the data. Only the functions with a CRSF near 20 keV and a Gaussian emission line near 6.4 keV give acceptable fits. This result is in agreement with Clark et al. 1990 or Robba et al. 2001. In 2 Figure 2: Spectrum of 4U 1538-52 and residuals with the best fit model using the blackbody component plus a comptonization of soft photons in a hot plasma Figure 3: Spectrum of 4U 1538-52 and residuals with the best fit model using the accretion disk consisting of multiple blackbody components plus a comptonization of soft photons in a hot plasma 3 Figure 4: Spectrum of 4U 1538-52 in the 1997 data. We show the feature above 50 keV our analysis, we found that absorbed power law modified by a high energy cutoff or by a Fermi-Dirac form of the cutoff could not describe well all phase resolved spectra. But, the absorbed NPEX continuum model describes the continuum data properly as well as other custom models used in this study (the absorbed blackbody plus comptonization or absorbed multiple blackbody plus comptonization). The fundamental CRSF, centered at ≈ 20 keV was discovered with the Ginga satellite by Clark et al. (1990). Also has been observed with the BeppoSAX satellite by Robba et al. (2001), centered at ≈ 21 keV. Coburn (2001) obtained a value for the CRSF of 20.66 keV, using a modified power law with a high energy cutoff. In this work, we found the fundamental CRSF at 20.1±0.2, for the 2001 data, and at 20.0±0.3, for the 1997 data. This cyclotron line change with th phase but no correlation was found. We tried to fit the second harmonic in the spectra, but we have not found evidence for a ≈ 40 keV harmonic in the spectra, both phase resolved and averaged spectra (Mihara 1995, Coburn 2001). However, a non-harmonically absorbed feature may be present at a higher energy above 50 keV. This feature at 51+4 −3 keV has been reported by Robba et al. (2001) using observations taken with the BeppoSAX satellite observatory. Although it is not present in al the spectra, an absorption feature might be seen above 50 keV. As the BeppoSAX data of 4U 1538-52 also reported this absorption feature so it is probably a real feature. However, this energy is not compatible with the second harmonic because of is not the double 4 Figure 5: Spectrum of 4U 1538-52 in the 2001 data. We show the feature above 50 keV of the fundamental energy. Moreover, it seems disappear in other spectra. Unfortunately, the low level of counts and the big bar errors at high energies have made impossible to fit a gaussian to the feature with a significance acceptable. 3 References 1. Becker, R. H., Swank, J. H., Boldt, E. A., Holt, S. S., Pravdo, S. H., Saba, J. R. & Serlemitsos, P. J. 1977, ApJ, 216,L11. 2. Clark, G. W., Woo, J. W. & Nagase, F. 1994, ApJ, 422, 336. 3. Clark, G. W. 2000, ApJ, 542, L131. 4. Coburn, W. 2001, Ph. D. thesis, University of California, San Diego. 5. Davison, P. J. N., Watson, M. G. & Pye, J. P. 1977, MNRAS, 181, 73P. 6. 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