Abstract
We examine the discrepancy between the theoretically expected number of detectable isolated old neutron stars (102-103), and the actually detected number of candidates (2-3). We argue that this discrepancy is explicable in terms of the suppression of accretion from the interstellar medium onto the old neutron stars. We show that for such a suppression to occur, a specific pattern for the magnetic field evolution in neutron stars is required. Strong magnetic fields (B 1012 G) are required to decay rapidly, while fields of the order of 1010 G are required to remain constant in the absence of accretion. The required pattern agrees with recent theoretical models for magnetic field decay in neutron stars.
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