Inverse Compton Scattering In Strong Magnetic Field A Possible Mechanism For Hard X-ray Production From Accreting Neutron Stars

We began by considering Dirac equation to derive the inverse compton scatteringrncross section in strong magnetic field and this cross section has simple form for thernscattering of a low frequency photon with relativistic electron.rnWe also derived the spectrum function from this cross section,which has a directrnapplication on the hardening of thermal photons(soft x-rays)through inverse comptonrnscattering by relativistic electron beams on the surface of strongly magnetized neutronrnstars to get the highest scattered photon energy of magnitude:rn!f = 4rn2!irnfor the incident photon angle i = and scattered photon angle f = 0 whichrncan give hard x-ray spectrum in the energy range of 12KeV-50MeV by consideringrnsoft X-ray as incident photon and to get this spectrum the electron energyrn forrnpulsars(rotating Neutron stars)is considered as well. And we showed the applicationrnof Inverse compton scattering in X-ray Astronomy during Roche Lobe overflow andrnformation of Accretion disc in the compact object in our case(Strongly magnetizedrnNeutron stars)

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