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MAGNETIC FIELDS AND NEUTRON STAR ATMOSPHERE MODELS
ELECTROMAGNETIC POLARIZATION IN PARTIALLY IONIZED PLASMAS WITH STRONG
MAGNETIC FIELDS AND NEUTRON STAR ATMOSPHERE MODELS
Alexander Y. Potekhin,1, 2 Dong Lai,3 Gilles Chabrier,4 and Wynn C. G. Ho5, 6
Received 2004 April 3; accepted 2004 May 19
ABSTRACT
The polarizability tensor of a strongly magnetized plasma and the polarization vectors and opacities of normal
electromagnetic waves are studied for conditions typical of neutron star atmospheres, taking account of partial
ionization effects. Vacuum polarization is also included, and a new set of fitting formulae are used that are
accurate for wide range of field strengths. The full account of the coupling of the quantum mechanical structure
of the atoms to their center-of-mass motion across the magnetic field is shown to be crucial for the correct
evaluation of the polarization properties and opacities of the plasma. The self-consistent treatment of the po-
larizability and absorption coefficients proves to be necessary if the ionization degree of the plasma is low, which
can occur in the atmospheres of cool or ultramagnetized neutron stars. Atmosphere models and spectra are
presented to illustrate the importance of such self-consistent treatment.
Subject headings: magnetic fields — plasmas — stars: atmospheres — stars: neutron — X-rays: stars
Online material: color figures
1. INTRODUCTION
In recent years, thermal or thermal-like radiation has been
detected from several classes of isolated neutron stars (NSs):
radio pulsars with typical magnetic fields B 1012 1013 G,
‘‘dim’’ NSs whose magnetic fields are mostly unknown, and
anomalous X-ray pulsars and soft gamma-ray repeaters with
B possibly as high as 1014–1015 G (see, e.g., Becker
Aschenbach 2002; Haberl 2004; Israel et al. 2002; Pavlov
Zavlin 2003 for reviews). The spectrum of thermal radiation
is formed in a thin atmospheric layer (with a scale height of
0.1–10 cm and density 102 to 103 g cm3) that covers
the stellar surface. Therefore, a proper interpr
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