2000/05/31 by K. S. Cheng, C. M. Zhang
Physics and Astronomy · #astro-ph
published as Astron.Astrophys. 361 (2000) 1001-1004 · 16 pages, 1 figure, the revised version
arxiv created 2000/07/05 · arxiv updated 2009/12/01
Based on the accretion induced magnetic a field decay model, in which a frozen field and an incompressible fluid are assumed, we obtain the following results. (1) An analytic relation between the magnetic field and spin period, if the fastness parameter of the accretion disk is neglected. The evolutionary tracks of accreting neutron stars in the P-B diagram in our model are different from the equilibrium period lines when the influence of the fastness parameter is taken into account. (2) The theoretical minimum spin period of an accreting neutron star is max (1.1\rm ms(\fracΔMM\odot)-1 R-5/146 I45(\fracMM\odot)-1/2, 1.1\rm ms (\fracMM\odot)-1/2 R17/146), independent of the accretion rate (X-ray luminosity) but dependent on the total accretion mass ΔM. However, the minimum magnetic field depends on the accretion rate. (3) The magnetic field strength decreases faster with time than the period.