Spin-triplet superfluidity of neutron matter with Skyrme forces in strong magnetic field near Tc

• Main Author: Tarasov, A.N.
• Format: Article
• Language: English
• Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2007
• Series: Вопросы атомной науки и техники
• Subjects: Physics of quantum liquids
• Online Access: http://dspace.nbuv.gov.ua/handle/123456789/111057

A dense homogeneous superfluid pure neutron matter (SPNM) with the effective Skyrme forces (depending on the density n of the neutrons) and with spin-triplet p–wave pairing (similar to ³He-A₁ and ³He-A₂) in a strong uni-form static magnetic field H is studied in the framework of a generalized non-relativistic Fermi-liquid theory. General formulas (valid for arbitrary parameterization of the Skyrme forces) are derived analytically for the phase transition temperatures Tc1,₂ of the neutron matter from normal to superfluid states of ³He-A1 and ³He-A₂ types, respectively. The functions Tc₁,₂(H,n) are linear with respect to H (up to sufficiently high magnetic fields) and are non-monotone functions of density. Figures for (Tc₁(H,n)−Tc₂(H,n))/H are plotted in the range 0.8n₀≤n≤3n₀ (n₀=0.17 fm⁻³ is the saturation density of the symmetric nuclear matter) for selected RATP, SkO’ and Gs parame-terizations of the Skyrme forces which have different power dependences on density. Such phases of dense SPNM may exist in cores of magnetized neutron stars.