Superfluidity of Dense Neutron Matter with Spin-Triplet P-Wave Pairing in Strong Magnetic Field

摘要

A dense superfluid pure neutron matter with an effective Skyrme interaction, which depends on the density n of the neutrons with spin-triplet p-wave pairing similar to those of ~(3)He-A_(1) and ~(3)He-A, is studied in a strong uniform static magnetic field H in the framework of a generalized non-relativistic Fermi-liquid theory. We present an analytic solution for a set of previously derived nonlinear integral equations for the components of the order parameter and an effective magnetic field H_(eff). The obtained general formulas (valid for arbitrary parameterization of Skyrme forces) for the phase transition temperatures T_(c1,2) of the neutron matter (from normal to a superfluid state of ~(3)He-A_(1) type and then to a ~(3)He-A type state, respectively) and the expression for H_(eff) at T(velence)0 are linear functions of strong magnetic field H and nonlinear functions of n. The gap equation is also solved at T(velence)0.