Generalized seniority with realistic interactions in open-shell nuclei

Abstract

Generalized seniority provides a truncation scheme for the nuclear shell model, based on pairing correlations, which offers the possibility of dramatically reducing the dimensionality of the nuclear shell-model problem. Systematic comparisons against results obtained in the full shell-model space are required to assess the viability of this scheme. Here, we extend recent generalized seniority calculations for semimagic nuclei, the Ca isotopes, to open-shell nuclei, with both valence protons and valence neutrons. The even-mass Ti and Cr isotopes are treated in a full major shell and with realistic interactions, in the generalized seniority scheme with one broken proton pair and one broken neutron pair. Results for level energies, orbital occupations, and electromagnetic observables are compared with those obtained in the full shell-model space. We demonstrate that, even for the Ti isotopes, significant benefit would be obtained in going beyond the approximation of one broken pair of each type, while the Cr isotopes require further broken pairs to provide even qualitative accuracy.

19 pages, 9 figures; published in J. Phys. G

References in corpus (6)

• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Measurable bounds for Entanglement of Formation
• Generalized seniority scheme in light Sn isotopes
• Generalized seniority for the shell model with realistic interactions
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Recursive calculation of matrix elements for the generalized seniority shell model

Cited by in corpus (5)

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• Practical Calculation Scheme for Generalized Seniority
• Generalized Seniority on Deformed Single-Particle Basis
• Combining symmetry breaking and restoration with configuration interaction: extension to z-signature symmetry in the case of the Lipkin Model