Energy expressions for n=3 and 4 systems in a single-j shell

Abstract

For systems with three and four fermions within a single-j shell, analytical expressions for the state energies are presented from a decomposition of the angular momentum. In some important cases the expressions acquire a very simple form. The expression may help us in understanding the structure of isomeric states. The decomposition also makes it possible to construct the algebraic condition for conservation of seniority.

5 pages, 1 figure, printer-friendly version, submitted to Phys. Rev. C

References in corpus (5)

• Partial conservation of seniority and nuclear isomerism
• Partial Dynamical Symmetries in the g9/2 Shell-Progress and Puzzles
• Relations Between Coefficients of Fractional Parentage
• Expressions for the number of J=0 pairs in even-even Ti isotopes
• Relations for Four Nucleons in a Single j Shell-using 9j Symbols to get rid of 9j Symbols

Cited by in corpus (1)

• Partial conservation of seniority in $j=9/2$ shell: Analytic and numerical studies