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arXiv:1509.02616·v2·Nuclear Theory

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

J.C. Pei🇨🇳 · Na Fei🇨🇳 · Y.N. Zhang🇨🇳 · P. Schuck🇫🇷

Abstract

Using the -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.

Comments: 8 pages, 10 figures, PRC

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