Generalized second-order Thomas-Fermi method for superfluid Fermi systems

Abstract

8 pages, 10 figures, submitted to PRCInternational audienceUsing 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 density-dependent effective mass and 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

Pushing the Limits of the Periodic Table -- A Review on Atomic Relativistic Electronic Structure Theory and Calculations for the Superheavy Elements

“…Two different ways of achieving this goal are most often implemented, namely, solution of the HFB equations in a finite Hartree-Fock space [174] and truncation of the quasiparticle space. The second method corresponds to truncating directly the quasiparticle space and using a renormalization or regularization technique to account for the truncated states [167,169,[175][176][177][178][179]. The proper treatment of nuclear quasi-particle HFB continuum is important for accurate description of ground-state properties and excitations [169,171,177,180,181].…”