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Magnetic field estimates for accreting neutron stars in massive binary systems and models of magnetic field decay

Some modern models of neutron star evolution predict that initially large magnetic fields rapidly decay down to some saturation value $\sim {\rm few}\times 0^{13}$ G and weaker magnetic fields do not decay significantly (Pons). It is difficult to check the predictions of this model for initially highly magnetized objects on the time scale of a few million years. We propose to use Be/X-ray binaries for this purpose. We apply several methods to estimate magnetic fields of neutron stars in these accreting systems using the data obtained by the RXTE satellite (Galache). Only using the most modern approach for estimating the magnetic field strengths of long period NSs as proposed by Shakura we are able to obtain a field distribution compatible with predictions of the theoretical model of field decay of Pons.