A semianalytic model for cyclotron line formation

Details A semianalytic model for cyclotron line formation A semianalytic model for cyclotron line formation

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414..815w&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 2, p. 815-829.

Astronomy and Astrophysics

Astrophysics

20

Cyclotron Radiation, Gamma Ray Bursts, Harmonics, Line Spectra, Astronomical Models, Monte Carlo Method, Optical Thickness, Pulsars, Quadratures, Radiative Transfer

Scientific paper

We present here a semianalytic physically motivated model for the formation of the cyclotron first harmonic line as well as higher harmonic lines. This model includes the essential relativistic effects and is valid for weak fields in static media where the first harmonic is optically thick in the line core but not in its wings. To illustrate this model, we consider the line transfer using polarization-averaged scattering profiles derived using nonrelativistic quantum mechanics but with relativistic kinematics. This model approximates well the corresponding exact physical model as calculated using Monte Carlo methods, and is at least an order of magnitude faster to compute than the Monte Carlo simulations. As such, it can be used as a practical substitute for the more time-consuming simulations to perform complete analysis of cyclotron lines in potentially large numbers of classical gamma-ray burst sources. Since the semianalytic model is based upon only a few simple physical principles, it should be easily adaptable to more general physical situations, such as to line formation in dynamic media. Owing to its relative simplicity and speed, such a semianalytic model offers the promise of liberating the researcher from large codes and time consuming simulations in the analysis of cyclotron line spectra.

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