  The possibility of appearance of spin polarized states in nuclear matter is
studied within the framework of a Fermi liquid theory with Skyrme effective
forces in a wide range of isospin asymmetries and densities. There are a few
possible scenarios of spin ordered phase transitions: (a) nuclear matter with
SLy4 interaction undergoes at some critical density a phase transition to a
spin polarized state with the oppositely directed spins of neutrons and
protons; (b) in nuclear matter with SkI5 interaction a spin polarized state
with the like-directed neutron and proton spins is formed; (c) nuclear matter
with SkI3 interaction under increasing density, at first, undergoes a phase
transition to the state with the opposite directions of neutron and proton
spins, which goes over at larger density to the state with the same direction
of nucleon spins. Spin polarized states at strong excess neutrons over protons
are accompanied by the long tails in the density profiles of the neutron spin
polarization parameter near the critical density, if the energy gain of the
transition from the nonpolarized state to the polarized one is the decreasing
function of isospin asymmetry (SLy4 force). In the opposite case, if the energy
gain is increased with isospin asymmetry, there are no long tails in the
density distribution of the neutron spin polarization parameter (SkI3, SkI5
forces).
