Hartree-Fock-Bogolyubov calculations with Gaussian expansion method

Details Hartree-Fock-Bogolyubov calculations with Gaussian expansion method Hartree-Fock-Bogolyubov calculations with Gaussian expansion method

2005-08-15

arxiv.org/abs/nucl-th/0508028v1

Nucl.Phys.A764:117-134,2006; Erratum-ibid.A801:169-171,2008

Physics

Nuclear Physics

Nuclear Theory

22 pages including 4 figures

Scientific paper

10.1016/j.nuclphysa.2005.09.007

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.

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