Generalized seniority for the shell model with realistic interactions

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.

13 pages, 8 figures; published in Phys. Rev. C

References in corpus (8)

• The Shell Model as Unified View of Nuclear Structure
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Generalized seniority from random Hamiltonians
• Measurable bounds for Entanglement of Formation
• Generalized seniority scheme in light Sn isotopes
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Novel Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
• Recursive calculation of matrix elements for the generalized seniority shell model

Cited by in corpus (8)

• From deformed Hartree-Fock to the nucleon-pair approximation
• Recent progress in configuration-interaction shell model
• Practical Calculation Scheme for Generalized Seniority
• Generalized seniority with realistic interactions in open-shell nuclei
• Nucleon-pair coupling scheme in Elliott's SU(3) model
• Generalized Seniority on Deformed Single-Particle Basis
• Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory
• Partial conservation of seniority in semi-magic nuclei