Symmetries and structure in the fp shell and g9/2 shell

Larry Zamick, Alberto Escuderos

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


First in a single-j-shell calculation (j = f7/2) we discuss various symmetries, e.g., two to one in 44Ti vs 43Ti. We note that the wave function amplitudes for T(higher) states are coefficients of fractional parentage, and that orthogonality of T(higher) and T(lower) states leads to useful results. Then we consider what happens if T = 0 two-body matrix elements are set equal to zero. We find a partial dynamical symmetry with several interesting degeneracies. It is noted that some formulae developed for identical particles also apply to different (companion) problems involving mixed systems of protons and neutrons. In the g9/2 shell, where one can have for the first time seniority violation for identical particles, we find some interesting yet unproven results.

Original languageEnglish (US)
Pages (from-to)1681-1694
Number of pages14
JournalInternational Journal of Modern Physics E
Issue number8
StatePublished - Nov 2006

All Science Journal Classification (ASJC) codes

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


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