Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions

Abstract

The bare nucleon-nucleon interaction is essential for the production of pair correlations in nuclei, but an important contribution also arises from the induced interaction resulting from the exchange of collective vibrations between nucleons moving in time reversal states close to the Fermi energy. The pairing field resulting from the summed interaction is strongly peaked at the nuclear surface. It is possible to reproduce the detailed spatial dependence of this field using a Local Density Approximation (LDA) and a contact interaction, with parameters which are quite different from those commonly used in more phenomenological approaches.

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Cited by in corpus (46)

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• Optimal pair density functional for description of nuclei with large neutron excess
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Self-consistent description of single-particle levels of magic nuclei
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Surface-enhanced pair transfer in quadrupole states of neutron-rich Sn isotopes
• Quasiparticle Renormalization and Pairing Correlations in Spherical Superfluid Nuclei
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Role of three-nucleon forces and many-body processes in nuclear pairing
• On the superfluid properties of the inner crust of neutron stars
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• Role of pairing in the description of Giant Monopole Resonances
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Partial-wave contributions to pairing in nuclei
• Dependence of two-proton radioactivity on nuclear pairing models
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Two-particle spatial correlations in superfluid nuclei
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Microscopic evaluation of the pairing gap
• Chiral three-nucleon forces and pairing in nuclei
• Semi-microscopic model of pairing in nuclei
• Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations
• Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature
• Constraints on the neutron drip-line with the newly observed 39Na
• Cooper pair sizes in 11Li and in superfluid nuclei: a puzzle?
• Finite-size effects and collective vibrations in the inner crust of neutron stars
• Suppression of Superfluidity upon Overflow of Trapped Fermions. Quantal and Thomas-Fermi Studies
• Phonon contributions to ab initio double mass differences of magic nuclei
• Periodic Box FHNC calculations of neutron star crustal matter. (I)
• Correlations between nuclear landscape boundaries and neutron-rich r-process abundances
• Impact of correlations on nuclear binding energies
• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei
• Multipair approach to pairing in nuclei
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
• From bare to renormalized order parameter in gauge space: structure and reactions
• Cooper pair sizes in superfluid nuclei in a simplified model
• 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
• Pairing correlations of cold fermionic gases at overflow from a narrow to a wide harmonic trap
• An ab initio theory of double odd-even mass differences in nuclei
• Localization of pairing correlations in nuclei within relativistic mean field models
• Pairing properties of the inner crust of neutron stars at finite temperature