Partial Dynamical Symmetries in the g9/2 Shell-Progress and Puzzles

Abstract

We present analytic proofs of the properties of four particle states in the g9/2 shell which have seniority v=4 and angular momentum I=4 or 6.We show in particular that the number of pairs with angular momentum I is equal to one for these states.

References in corpus (4)

• Partial conservation of seniority and nuclear isomerism
• Seniority conservation and seniority violation in the g_{9/2} shell
• Relations Between Coefficients of Fractional Parentage
• New Relations for Coefficients of Fractional Parentage--the Redmond Recursion Formula with Seniority

Cited by in corpus (13)

• Dual pairing of symmetry groups and dynamical groups in physics
• Partial Dynamical Symmetries
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• Seniority in quantum many-body systems. I. Identical particles in a single shell
• Energy expressions for n=3 and 4 systems in a single-j shell
• Alternate proof of the Rowe-Rosensteel proposition and seniority conservation
• Solvability of eigenvalues in jn configurations
• Analytic proof of partial conservation of seniority in $j=9/2$ shells
• Partial conservation of seniority in nuclei
• Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage
• Symmetries in the \bm{g_{9/2}} shell
• Number of spin-J states and odd-even staggering for identical particles in a single-j shell
• Partial conservation of seniority in semi-magic nuclei