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

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arxiv 1509.02616 v2 pith:LND7EYS4 submitted 2015-09-09 nucl-th cond-mat.quant-gas

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

classification nucl-th cond-mat.quant-gas
keywords fermigeneralizedsuperfluidsystemsthomas-fermimethodsecond-orderapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

Using the $\hbar$-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.

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