Degeneracies when T=0 two body matrix elements are set equal to zero and Regge's 6j symmetry relations

Shadow J.Q. Robinson, Larry Zamick

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

The effects of setting all T=0 two body interaction matrix elements equal to a constant (or zero) in shell model calculations (designated as 〈T=0〉=0) are investigated. Despite the apparent severity of such a procedure, one gets fairly reasonable spectra. We find that using 〈T=0〉=0 in single-j shell calculations degeneracies appear, e.g., the I=1/2- and 13/2- states in 43Sc are at the same excitation energies; likewise the I = 3+2, 7+2, 9+1, and 10+1 states in 44Ti. The above degeneracies involve the vanishing of certain 6j and 9j symbols. The symmetry relations of Regge are used to explain why these vanishings are not accidental. Thus for these states the actual deviation from degeneracy are good indicators of the effects of the T=0 matrix elements. A further indicator of the effects of the T=0 interaction in an even-even nucleus is to compare the energies of states with odd angular momentum with those that are even.

Original languageEnglish (US)
Article number064316
Pages (from-to)643161-6431610
Number of pages5788450
JournalPhysical Review C - Nuclear Physics
Volume63
Issue number6
StatePublished - Jun 2001

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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