Superfluid Gap in Neutron Matter from a Microscopic Effective Interaction

Abstract

Correlated Basis Function (CBF) perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a nuclear Hamiltonian strongly constrained by phenomenology. We report the results of a study of the superfluid gap in pure neutron matter, associated with the formation of Cooper pairs in the ${}^1{S}_0$ channel. The calculations have been carried out using an improved version of the CBF effective interaction, in which three-nucleon forces are taken into account using a microscopic model. Our results show that a non-vanishing superfluid gap develops at densities in the range $2\times 10^{-4}\lesssim \rho /{\rho }_0\lesssim 0.1$, where ${\rho }_0=2.8\times 10^{14}$ g cm${}^{-3}$ is the equilibrium density of isospin-symmetric nuclear matter, corresponding mainly to the neutron star inner crust.

13 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1305.4659

References in corpus (5)

• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Correlation effects on the weak response of nuclear matter
• Effective interaction approach to the Fermi hard-sphere system
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• Variational and parquet-diagram calculations for neutron matter. I. Structure and Energetics
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• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas