Hartree-Fock-Bogolyubov calculations with Gaussian expansion method

Abstract

We extensively develop an algorithm of implementing the Hartree-Fock-Bogolyubov calculations, in which the Gaussian expansion method is employed. This algorithm is advantageous in describing the energy-dependent exponential and oscillatory asymptotics of the quasiparticle wave functions at large $r$, and in handling various effective interactions including those with finite ranges. We apply the present method to the oxygen isotopes with the Gogny interaction, keeping the spherical symmetry. In respect to the new magic numbers, effects of the pair correlation on the N=16 and 32 nuclei are investigated.

22 pages including 4 figures

References in corpus (3)

• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• A method of implementing Hartree-Fock calculations with zero- and finite-range interactions

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