Magnetic Field Evolution Of Millisecond Pulsars Beyond The X-ray Death Line

Under the relativistic plasma diffusion theory (Kebede, 2002, 1996), we investigaternthe magnetic field evolution of millisecond pulsars beyond the X-ray death line byrntaking the competitive nature of magnetic field revival due to mass accretion and itsrndecay due to one of the cooling sources called photon emission leading to pulsar fieldrnevolution at about threshold magnetic field for X-ray productions into account. Ourrnstudy shows that the magnetic field is no more monotonous for old pulsars. Thisrnevolution of the magnetic field is applied to address the issue of the 35 day cycle ofrnX-ray radiations of Hercules X-l

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