Microscopic evaluation of the pairing gap

Abstract

We discuss the relevant progress that has been made in the last few years on the microscopic theory of the pairing correlation in nuclei and the open problems that still must be solved in order to reach a satisfactory description and understanding of the nuclear pairing. The similarities and differences with the nuclear matter case are emphasized and described by few illustrative examples. The comparison of calculations of different groups on the same set of nuclei show, besides agreements, also discrepancies that remain to be clarified. The role of the many-body correlations, like screening, that go beyond the BCS scheme, is still uncertain and requires further investigation.

21 pages,7 figures; minor modification, accepted for publication in J. Phys. G

References in corpus (25)

• Model-independent low momentum nucleon interaction from phase shift equivalence
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Nuclear isotope shifts within the local energy-density functional approach
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Primordial black hole production due to preheating
• Low-momentum interactions with smooth cutoffs
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Many-body effects in nuclear structure
• Pairing properties of nucleonic matter employing dressed nucleons
• 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
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions
• Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms
• Superfluidity with dressed nucleons
• On the mechanisms of superfluidity in atomic nuclei
• Surface behaviour of the pairing gap in semi-infinite nuclear matter
• Surface properties of nuclear pairing with the Gogny force in a simplified model
• Surface behaviour of the pairing gap in a slab of nuclear matter
• Solution of the microscopic gap equation for a slab of nuclear matter with the Paris NN-potential
• Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces
• The microscopic pairing gap in a slab of nuclear matter for the Argonne v18 NN-potential

Cited by in corpus (16)

• Properties of the nuclear medium
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• 3PF2 pairing in high-density neutron matter
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Quasiparticle Renormalization and Pairing Correlations in Spherical Superfluid Nuclei
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Semi-microscopic model of pairing in nuclei
• Nuclear energy functional with a surface-peaked effective mass: Global properties
• Phonon contributions to ab initio double mass differences of magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• On limits of ab initio calculations of pairing gap in nuclei
• ${}^1{S}_0$ pairing for neutrons in dense neutron matter induced by a soft pion
• An ab initio theory of double odd-even mass differences in nuclei
• 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