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.

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