Triplet superfluidity in neutron matter with Skyrme forces at subnuclear and supranuclear densities in a strong magnetic field

摘要

Within a generalized non-relativistic Fermi-liquid approach we have found general analytical formulae for phase-transition temperatures T (c,1)(n, H) and T (c,2)(n, H) (which are nonlinear functions of density, n, and linear of magnetic field, H) for phase transitions in spatially uniform, dense, pure neutron matter from normal to superfluid states with spin-triplet p-wave pairing (similar to anisotropic superfluid phases (3)He - A(1) and (3)He - A(2)) in steady and homogeneous sufficiently strong magnetic field (but |A mu (n) |H a parts per thousand(a) E (c) < E > (F) (n), where A mu (n) is the magnetic dipole moment of a neutron, E (c) is the cutoff energy and E > (F) (n)is the Fermi energy in neutron matter). General formulae for T (c,1,2)(n,H) are valid for arbitrary parameterization of the effective Skyrme forces in neutron matter. We have used for definiteness the so-called SLy2, Gs and RATP parameterizations of the Skyrme forces with different exponents in their power dependence on density n (at sub- and supranuclear densities) from the interval 0.7 n (0) a parts per thousand(2) n < n (c) (Skyrme)< 2 n (0), where n (0) =0.17 fm(-3) is the nuclear density and n (c) (Skyrme)is the the critical density of the ferromagnetic instability in superfluid neutron matter. These phase transitions might exist in the liquid outer core of magnetized neutron stars.