Generalized Second-Order Thomas-Fermi Method for Superfluid Fermi Systems

Abstract

Using the $\hslash$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and the spin-orbit potential. We first implement and examine the full correction terms over different energy intervals of the quasiparticle spectra in calculations of finite nuclei. Final applications of this generalized Thomas-Fermi method are intended for various inhomogeneous superfluid Fermi systems.

8 pages, 10 figures, PRC

References in corpus (7)

• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Adaptive Multi-resolution 3D Hartree-Fock-Bogoliubov Solver for Nuclear Structure
• Equation for the superfluid gap obtained by coarse graining the Bogoliubov-de Gennes equations throughout the BCS-BEC crossover
• Gradient corrections to the local density approximation for trapped superfluid Fermi gases

Cited by in corpus (3)

• Corrections to Local Density Approximation for superfluid trapped fermionic atoms from the Wigner-Kirkwood $\hslash$ expansion
• Inclusion of pairing fluctuations in a semiclassical approach: The case of study of the Josephson effect
• Finite-range pairing in nuclear density functional theory