Nucleon-Nucleon Phase Shifts and Pairing in Neutron Matter and Nuclear Matter

Abstract

We consider 1S0 pairing in infinite neutron matter and nuclear matter and show that in the lowest order approximation, where the pairing interaction is taken to be the bare nucleon-nucleon (NN) interaction in the 1S0 channel, the pairing interaction and the energy gap can be determined directly from the 1S0 phase shifts. This is due to the almost separable character of the NN interaction in this partial wave. Since the most recent NN interactions are charge-dependent, we have to solve coupled gap equations for proton-proton, neutron-neutron, and neutron-proton pairing in nuclear matter. The results, however, are found to be close to those obtained with charge-independent potentials.

5 pages, 3 figures, RevTeX

References in corpus (2)

• Relativistic Approach to Superfluidity in Nuclear Matter
• ^1S_0 pairing correlations in relativistic nuclear matter and the two-nucleon virtual state

Cited by in corpus (35)

• Physics of Neutron Star Crusts
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Nuclear isotope shifts within the local energy-density functional approach
• Cooling neutron stars and superfluidity in their interiors
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Superfluidity in nuclear systems and neutron stars
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Spatial structure of neutron Cooper pair in low density uniform matter
• Two-Body Correlations in Nuclear Systems
• How viscous is a superfluid neutron star core?
• 3P_2-3F_2 pairing in neutron matter with modern nucleon-nucleon potentials
• Pairing in low-density Fermi gases
• Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Ultraviolet extrapolations in finite oscillator bases
• Triplet Pairing in Neutron Matter
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Phases of asymmetric nuclear matter with broken space symmetries
• Partial-wave contributions to pairing in nuclei
• Superfluid vortices in neutron stars
• Mean field and pairing properties in the crust of neutron stars
• Critical Line for H-Superfluidity in Strange Quark Matter?
• Superfluid nucleon matter in and out of equilibrium and weak interactions
• Local energy-density functional approach to many-body nuclear systems with s-wave pairing
• Pairing correlations and transitions in nuclear systems
• ${}^1{S}_0$ pairing in neutron matter
• Condensate Fraction in Neutron Matter
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Pairing in Nuclei
• A Relativistic Separable Potential to Describe Pairing in Nuclear Matter
• Phenomenological construction of a relativistic nucleon-nucleon interaction for the superfluid gap equation in finite density systems
• Superfluidity within Exact Renormalisation Group approach
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group
• Pion-mediated Cooper pairing of neutrons: beyond the bare vertex approximation
• Closed-form Brückner $G$-matrix and nuclear matter in EFT($/\pi$)