Thomas-Fermi studies of pairing in inhomogeneous systems: nuclear and cold atom systems at overflow

Details Thomas-Fermi studies of pairing in inhomogeneous systems: nuclear and cold atom systems at overflow Thomas-Fermi studies of pairing in inhomogeneous systems: nuclear and cold atom systems at overflow

2012-04-16

arxiv.org/abs/1204.3429v1

Physics

Nuclear Physics

Nuclear Theory

18 pages and 11 figures. arXiv admin note: text overlap with arXiv:1110.1188

Scientific paper

A novel Thomas-Fermi (TF) approach to inhomogeneous superfluid Fermi-systems is presented and shown that it works well also in cases where the Local Density Approximation (LDA) breaks down. The novelty lies in the fact that the semiclassical approximation is applied to the pairing matrix elements not implying a local version of the chemical potential as with LDA. Applications will be given to the generic fact that if a fermionic superfluid in the BCS regime overflows from a narrow container into a much wider one, pairing is substantially reduced at the overflow point. Two examples pertinent to the physics of the outer crust of neutron stars and superfluid fermionic atoms in traps will be presented. The TF results will be compared to quantal and LDA ones.

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