Abstract
The paper considers the influence of magnetic field decay on the spin evolution of neutron stars in the course of an accretion phase. The simplest model is assumed for the interaction of the accreted matter with the neutron star magnetosphere. We analyse a few possible decay laws of the magnetic field which can be representative of various theoretical scenarios. For the considered decay laws, the neutron star entering a low-mass binary system can generally spin up to millisecond periods if it accretes 0.01-0.1 Mo. Our calculations show that a power-law decay of the magnetic field with the power P < 2 is most suitable for the evolution of 'standard' neutron stars with B ~ 1011 _1013 G to millisecond pulsars with B ~ 108_109 G.
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