  We explore the possibility to explain the properties of the Be/X-ray pulsars
observed in the Small Magellanic Cloud within the magnetic levitation accretion
scenario. This implies that their X-ray emission is powered by a wind-fed
accretion onto a neutron star (NS) which captures matter from a magnetized
stellar wind. The NS in this case is accreting matter from a non-keplerian
magnetically levitating disc (ML-disc) which is surrounding its magnetosphere.
This allows us to explain the observed periods of the pulsars in terms of spin
equilibrium without the need of invoking dipole magnetic fields outside the
usual range ~ 10^11- 10^13 G inferred from cyclotron features of Galactic high
mass X-ray binaries. We find that the equilibrium period of a NS, under certain
conditions, depends strongly on the magnetization of the stellar wind of its
massive companion and, correspondingly, on the magnetic field of the massive
companion itself. This may help to explain why similar NSs in binaries with
similar properties rotate with different periods yielding a large scatter of
periods of the accretion-powered pulsar observed in SMC and our galaxy.
