**105**(2014) 52001

## On the theory of phase transitions in dense neutron matter with generalized Skyrme interactions and anisotropic spin-triplet p-wave pairing in strong magnetic field

Akhiezer Institute for Theoretical Physics, National Science Center “Kharkov Institute of Physics and Technology” 61108 Kharkov, Ukraine

Received: 19 January 2014

Accepted: 4 March 2014

In the framework of the generalized non-relativistic Fermi-liquid approach we study phase transitions in spatially uniform dense pure neutron matter from normal to superfluid states with a spin-triplet *p*-wave pairing (similar to anisotropic superfluid phases ^{3}He-*A*_{1} and ^{3}He-*A*_{2}) in a steady and homogeneous strong magnetic field *H* (but , where is the magnetic dipole moment of a neutron, is the cutoff energy and is the Fermi energy in neutron matter with density of particles *n*). The previously derived general formulas (valid for the arbitrary parametrization of the effective Skyrme interaction in neutron matter) for phase transition (PT) temperatures (which are nonlinear functions of the density *n* and linear functions of the magnetic field *H*) are specified here for new generalized BSk20 and BSk21 parameterizations of the Skyrme forces (with additional terms dependent on the density *n*) in the interval , where is the nuclear density. Our main results are mathematical expressions and figures for PT temperatures in the absence of magnetic field, and (at ), and in strong magnetic fields (which may approach to or even more as in the liquid outer core of magnetars —strongly magnetized neutron stars). These are realistic non-monotone functions with a bell-shaped density profile.

PACS: 21.65.Cd – Asymmetric matter, neutron matter / 26.60.Dd – Neutron star core / 67.10.Fj – Quantum statistical theory

*© EPLA, 2014*