Validity of the broken-pair approximation for N = 50 , even- A nuclei

1977; American Institute of Physics; Volume: 16; Issue: 6 Linguagem: Inglês

10.1103/physrevc.16.2455

ISSN

1538-4497

Autores

S. Haq, Y. K. Gambhir,

Tópico(s)

Nuclear reactor physics and engineering

Resumo

The validity of the broken-pair approximation as an approximation to the seniority shell model is investigated. The results of the broken-pair approximation and the seniority shell model, obtained by employing identical input information (single-particle levels and their energies, effective two-body matrix elements, $^{88}\mathrm{Sr}$ inert core) for $N=50$, even-$A$ nuclei are compared. A close agreement obtained between the calculated broken-pair approximation and the seniority shell model energies for $^{90}\mathrm{Zr}$, $^{92}\mathrm{Mo}$, $^{94}\mathrm{Ru}$, and $^{96}\mathrm{Pd}$ nuclei and large (95-100%) overlaps between the broken-pair approximation and the senority shell model wave functions for $^{92}\mathrm{Mo}$, demonstrates the validity of the broken-pair approximation in this region and in general its usefulness as a good approximation to the seniority shell model.NUCLEAR STRUCTURE Shell model, seniority shell model, broken-pair approximation, quasiparticle Tamm-Dancoff (QTD), projected QTD; $^{90}\mathrm{Zr}$, $^{92}\mathrm{Mo}$, $^{94}\mathrm{Ru}$, $^{96}\mathrm{Pd}$.

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