  Based on observational facts and a variety of theoretical arguments we
discuss in this work the possibility that pulsars in Low-Mass Binary Pulsar
systems could be strange stars rather than neutron stars. It is shown that,
although subject to reasonable uncertainties, the consideration of the physics
of the SQM core and thin normal crusts leads to the prediction of several
observed features of the magnetic field history of these systems whitin this
working hypothesis.
