Generalized seniority for the shell model with realistic interactions

TL;DR

This paper evaluates the effectiveness of the generalized seniority scheme in simplifying nuclear shell model calculations by comparing its results with full shell model calculations for calcium isotopes using realistic interactions.

Contribution

It provides a systematic benchmark analysis of the generalized seniority scheme against full shell model results for semimagic nuclei with realistic interactions.

Findings

Good agreement for level energies and electromagnetic observables

Reduced computational complexity with generalized seniority

Validation of generalized seniority for v<=3 in calcium isotopes

Abstract

The generalized seniority scheme has long been proposed as a means of dramatically reducing the dimensionality of nuclear shell model calculations, when strong pairing correlations are present. However, systematic benchmark calculations, comparing results obtained in a model space truncated according to generalized seniority with those obtained in the full shell model space, are required to assess the viability of this scheme. Here, a detailed comparison is carried out, for semimagic nuclei taken in a full major shell and with realistic interactions. The even-mass and odd-mass Ca isotopes are treated in the generalized seniority scheme, for generalized seniority v<=3. Results for level energies, orbital occupations, and electromagnetic observables are compared with those obtained in the full shell model space.