Semi-microscopic model of pairing in nuclei

Abstract

A semi-microscopic model for nucleon pairing in nuclei is presented starting from the ab intio BCS gap equation with Argonne v18 force and the self-consistent Energy Density Functional Method basis characterized with the bare nucleon mass. The BCS theory is formulated in terms of the model space S0 with the effective pairing interaction calculated from the first principles in the subsidiary space S0. This effective interaction is supplemented with a small phenomenological addendum containing one phenomenological parameter universal for all medium and heavy atomic nuclei. We consider the latter as a phenomenological way to take into account both the many-body corrections to the BCS theory and the effective mass effects. For protons, the Coulomb interaction is introduced directly. Calculations made for several isotopic and isotonic chains of semi-magic nuclei confirm the validity of the model. The role of the self-consistent basis is stressed.

22 pages, 9 figures, 3 tables

References in corpus (14)

• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Nuclear isotope shifts within the local energy-density functional approach
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Many-body effects in nuclear structure
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Non-empirical pairing functional
• Dispersive effects in neutron matter superfluidity
• Self-energy Effects in the Superfluidity of Neutron Matter
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms
• Microscopic evaluation of the pairing gap

Cited by in corpus (12)

• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• First applications of Fayans functional to deformed nuclei
• The first quadrupole excitations in spherical nuclei and nuclear pairing
• Phonon contributions to ab initio double mass differences of magic nuclei
• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
• Conventional BCS, Unconventional BCS, and Non-BCS Hidden Dineutron Phases in Neutron Matter
• An ab initio theory of double odd-even mass differences in nuclei
• Theory of nuclear collective vibrations
• Models for Pairing Phenomena