Nuclear Pairing: Surface or Bulk ?

Abstract

We analyse how the spatial localisation properties of pairing correlations are changing in a major neutron shell of heavy nuclei. It is shown that the radial distribution of the pairing density depends strongly on whether the chemical potential is close to a low or a high angular momentum level and has very little sensitivity to whether the pairing force acts in the surface or in the bulk. The averaged pairing density over one major shell is however rather flat, practically independent of the pairing force. Hartree-Fock-Bogoliubov calculations for the isotopic chain ${}^{100-132}$Sn are presented for demonstration purposes.

12 pages, 5 figures

References in corpus (5)

• Many-body effects in nuclear structure
• Energy Density Functional Approach to Superfluid Nuclei
• Two-neutron transfer in nuclei close to the dripline
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Semiclassical evaluation of average nuclear one and two body matrix elements

Cited by in corpus (18)

• Exotic modes of excitation in atomic nuclei far from stability
• Odd-even mass differences from self-consistent mean-field theory
• 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
• Spin-triplet pairing in large nuclei
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Accuracy of BCS-based approximations for pairing in small Fermi systems
• Pairing interactions and the vanishing pairing correlations in hot nuclei
• Density dependence of the pairing interaction and pairing correlation in unstable nuclei
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Dependence of two-proton radioactivity on nuclear pairing models
• Two-particle spatial correlations in superfluid nuclei
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Deformation properties with a finite range simple effective interaction
• Odd-even staggering in neutron drip line nuclei
• Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• The stability and the shape of the heaviest nuclei