  We shall show in this report that the theoretical evolution of a particular
class of systems containing a neutron star, the so-called "black widow"
binaries, suggest masses above the $\sim 2 M_{\odot}$, a fact that would bring
serious concerns about the right description of the equation of state above the
saturation density. Moreover, so far the actual determinations of masses for
these systems consistently give values above $2 M_{\odot}$, reinforcing the
quandary. In this sense, and given that the confirmation of these ideas would
create problems for the microphysical description, we argue that a crisis could
be "in the works" in neutron star physics.
