Phenomenological construction of a relativistic nucleon-nucleon interaction for the superfluid gap equation in finite density systems

Abstract

We construct phenomenologically a relativistic particle-particle channel interaction which suits the gap equation for nuclear matter. This is done by introducing a density-independent momentum-cutoff parameter to the relativistic mean field (Hartree and Hartree-Fock) models so as to reproduce the pairing properties obtained by the Bonn-B potential and not to change the saturation property. The interaction so obtained can be used for the Relativistic Hartree-Bogoliubov calculation, but some reservation is necessary for the Relativistic Hartree-Fock-Bogoliubov calculation.

30 pages, 18 eps figures, uses elsart. Major revision --- Hartree-Fock calculations are added. To appear in Nuclear Physics A

References in corpus (3)

• Effective density dependent pairing forces in the T=1 and T=0 channels
• Surface properties of nuclear pairing with the Gogny force in a simplified model
• Constructing Effective Pair Wave Function from Relativistic Mean Field Theory with a Cutoff

Cited by in corpus (4)

• Possibility of ΛΛpairing and its dependence on background density in relativistic Hartree-Bogoliubov model
• Impact of QCD sum rules coupling constants on neutron stars structure
• Liquid-gas instability and superfluidity in nuclear matter
• Nuclear matter superfluidity in an effective hadronic field model with excluded volume corrections