Abstract
AbstractI model changes in cyclotron line energy with luminosity, considering the effect of polar cap dimensions and changes in beam pattern as well as shock height. Cyclotron lines are calculated by a superposition of a large number of cyclotron lines formed in different heights of an accretion column. Cyclotron line energy has been observed to change with luminosity in a number of accreting X-ray pulsars. In X0115+63 and V0332+53, the fundamental cyclotron line energy has been observed to decrease with increasing luminosity. This phenomenon has been interpreted as a change in shock height with luminosity. However, the rate of the change seems to be very different, in which the line energy in V0332+53 seems to vary slowly with luminosity compared with that in X0115+63. I found that the changes in the cyclotron line energies with luminosity can be explained by changes in beam pattern and the size of a polar cap rather than a shock height.
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