Relations Between Coefficients of Fractional Parentage

Abstract

For each of the (9/2), (11/2) and (13/2) single j shells we have only one state with J=j V=3 for a five particle system. For four identical particles there can be more than one state of seniority four. We note some ``ratio'' relations for the coefficients of fractional parentage for the four and five identical particle systems.

References in corpus (2)

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

Cited by in corpus (13)

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• Is Seniority a Partial Dynamic Symmetry in the First $\nu g_{9/2}$ Shell?
• Partial Dynamical Symmetries in the g9/2 Shell-Progress and Puzzles
• Partial conservation of seniority and its unexpected influence on E2 transitions in $g_{9/2}$ nuclei
• Analytic proof of partial conservation of seniority in $j=9/2$ shells
• Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage
• Persistence of the $Z=28$ shell gap in $A=75$ isobars: Identification of a possible $(1/2^{-})$ $\mu$s isomer in ${}^{75}$Co and $\beta$ decay to ${}^{75}$Ni
• Symmetries in the \bm{g_{9/2}} shell
• Seniority and $(\frac{9}{2}{)}^n$ configurations in neutron-rich Nickel isotopes