Nuclear structure theory in spin- and number-conserving quasiparticle configuration spaces: First applications

Abstract

In the first part of the present series of two papers we discussed several nuclear structure models all working in configuration spaces consisting of spin- and number-projected quasiparticle determinants. In the present paper a particular version of the numerically simplest of these models is presented. This model approximates the nuclear wave functions by linear combinations of the angular momentum- and particle number-projected Hartree-Fock-Bogoliubov vacuum and the equally spin- and number-projected two quasiparticle excitations with respect to it. The model allows the use of realistic two body interactions and rather large model spaces. It can hence be applied to a large number of nuclear structure problems in various mass regions. First applications have been performed for the nuclei $^{20}\mathrm{Ne}$, $^{22}\mathrm{Ne}$, $^{46}\mathrm{Ti}$, and $^{164}\mathrm{Er}$. In all these cases the results are very encouraging.[NUCLEAR STRUCTURE $^{20}\mathrm{Ne}$, $^{22}\mathrm{Ne}$, $^{46}\mathrm{Ti}$, $^{164}\mathrm{Er}$; calculated spectra and transitions. Spin- and number-projected Hartree-Fock-Bogoliubov and shell model methods.]