Thomas--Fermi Studies of Pairing in Inhomogeneous Systems:. Nuclear and Cold Atom Systems at Overflow
Abstract
A novel Thomas-Fermi (TF) approach to inhomogeneous superfluid Fermisystems 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.
- Publication:
-
Fifty Years of Nuclear BCS: Pairing in Finite Systems. Edited by Broglia Ricardo A et al. Published by World Scientific Publishing Co. Pte. Ltd
- Pub Date:
- January 2013
- DOI:
- 10.1142/9789814412490_0016
- arXiv:
- arXiv:1204.3429
- Bibcode:
- 2013fynb.book..212S
- Keywords:
-
- Nuclear Theory;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 18 pages and 11 figures. arXiv admin note: text overlap with arXiv:1110.1188