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My study of these data was motivated by the tentative identification by Nagase et al. (1992) of the high energy cut-off in Cen X-3's spectrum with cyclotron opacity. It seemed that, if a CSRF was detectable, pulse phase resolved measurements would help
distinguish between a slab and a column emission geometry which cause
radiation to be emitted as pencil or fan beams, respectively
(see Figures 4.3 and 4.3).
The energy of a cyclotron absorption feature is
expected to
be greatest when the angle between the line of sight and the magnetic field is
zero (Mészáros and Nagel (1985a)).
Thus for a pencil beam the CSRF energy should be greatest at the pulse maximum
(when the line of sight is
closest to the magnetic field direction).
For a fan beam
it should be at a minimum at the pulse maximum (when the line of
sight is normal to the magnetic field).
Comparing their calculations with observations of the CSRF in Her X-1
Mészáros and Nagel (1985b) concluded that the pulsar radiated as a pencil beam.
For luminous pulsars
such as Her X-1 and Cen X-3 it is expected that there is a radiation
deceleration
shock above the surface of
the neutron star producing a column geometry and a fan beam
(e.g. Wang and Frank (1981)).
In the case of
4U 1538-52, Bulik et al. (1992) modeled the pulse phase dependence of the spectrum.
They obtained quantitative agreement with pulse phase resolved observations
of the
cyclotron line made with Ginga and found evidence for differences
in temperature and opening angle for the polar caps.
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Damian Audley
1998-09-04