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We investigated the spin period evolution of the accreting neutron star (NS) in binary systems, based on the accretion-induced magnetic decay model, while both the accretion spin-up torque and the gravitational wave (GW) emission induced spin-down torque are taken into account. We found that the spin period of millisecond pulsar (MSP) can stop at the value of several milliseconds, if the accretion...
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