Influence of a Non-Dipole Magnetic Field on the Peak Energies of Cyclotron Absorption Lines

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We calculate cyclotron lines in a neutron star slab assuming a non-dipole surface magnetic field. We study the influences of the non-dipole surface field on the properties of cyclotron resonant scattering lines. When the magnetic field strength decreases with height in the line-forming region, the ratios of the higher harmonics to the fundamental at the peak energies of the cyclotron lines become more than the integer values. On the other hand, when the magnetic field strength increases with height in the line-forming region, the ratios at the peak energies of the cyclotron lines become less than the integer values. The nonharmonicity, which has actually been observed in some accretion-powered X-ray pulsars, is more significant than that expected from relativistic effect in cyclotron resonant energy. This may suggest the line-forming region threaded by the strong nondipole magnetic field in some accreting X-ray pulsars. In observations, the ratios are more than or less than the integer values. This could imply that the magnetic field strength in the line-forming region decreases or increases with the altitude or the horizontal distance from an emission region.

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