Thomas-Fermi approximation to pairing in finite Fermi systems. The weak coupling regime

Abstract

We present a new semiclassical theory for describing pairing in finite Fermi systems. It is based on taking the $\hslash \to 0$, i.e. Thomas-Fermi, limit of the gap equation written in the basis of the mean field (weak coupling). In addition to the position dependence of the Fermi momentum, the size dependence of the pairing force is also taken into account in this theory. Along isotopic chains the Thomas-Fermi gaps average the well known arch structure shown by the quantal gaps. This structure can be almost recovered in our formalism if some shell fluctuations are included in the level density. We point out that at the drip line nuclear pairing is strongly reduced. This fact is illustrated with the behavior of the gap in the inner crust of neutron stars.

9 pages, 4 figures, Many Body Conference 2011(Paris)

References in corpus (5)

• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Garvey-Kelson Relations for Nuclear Charge Radii
• Unified description of neutron superfluidity in the neutron-star crust with analogy to anisotropic multi-band BCS superconductors
• A realistic model of superfluidity in the neutron star inner crust
• Semi-Classical Description of the Average Pairing Properties in Nuclei

Cited by in corpus (5)

• Superfluidity in nuclear systems and neutron stars
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Exactly solvable pairing Hamiltonian for heavy nuclei
• Suppression of Superfluidity upon Overflow of Trapped Fermions. Quantal and Thomas-Fermi Studies
• Softness of Sn isotopes in relativistic semi-classical approximation