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

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Abstract

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, Sr88 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 Zr90, Mo92, Ru94, and Pd96 nuclei and large (95-100%) overlaps between the broken-pair approximation and the senority shell model wave functions for Mo92, 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; Zr90, Mo92, Ru94, Pd96.

Original languageEnglish
Pages (from-to)2455-2457
Number of pages3
JournalPhysical Review C
Volume16
Issue number6
DOIs
Publication statusPublished - 1977

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nuclei
approximation
wave functions
energy
matrices

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

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title = "Validity of the broken-pair approximation for N=50, even-A nuclei",
abstract = "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, Sr88 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 Zr90, Mo92, Ru94, and Pd96 nuclei and large (95-100{\%}) overlaps between the broken-pair approximation and the senority shell model wave functions for Mo92, 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; Zr90, Mo92, Ru94, Pd96.",
author = "S. Haq and Gambhir, {Y. K.}",
year = "1977",
doi = "10.1103/PhysRevC.16.2455",
language = "English",
volume = "16",
pages = "2455--2457",
journal = "Physical Review C - Nuclear Physics",
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publisher = "American Physical Society",
number = "6",

}

Validity of the broken-pair approximation for N=50, even-A nuclei. / Haq, S.; Gambhir, Y. K.

In: Physical Review C, Vol. 16, No. 6, 1977, p. 2455-2457.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Validity of the broken-pair approximation for N=50, even-A nuclei

AU - Haq, S.

AU - Gambhir, Y. K.

PY - 1977

Y1 - 1977

N2 - 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, Sr88 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 Zr90, Mo92, Ru94, and Pd96 nuclei and large (95-100%) overlaps between the broken-pair approximation and the senority shell model wave functions for Mo92, 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; Zr90, Mo92, Ru94, Pd96.

AB - 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, Sr88 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 Zr90, Mo92, Ru94, and Pd96 nuclei and large (95-100%) overlaps between the broken-pair approximation and the senority shell model wave functions for Mo92, 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; Zr90, Mo92, Ru94, Pd96.

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