Partial conservation of seniority and its unexpected influence on E2 transitions in $g_{9/2}$ nuclei

Abstract

There exist two uniquely defined $v=4$ states in systems within a $j=9/2$ subshell, which automatically conserve seniority and do not mix with other states. Here I show that the partial conservation of seniority plays an essential role in our understanding of the electric quadrupole transitions of the semimagic nuclei involving $j=9/2$ subshells, including the long-lived $8^{+}$ isomer in ${}^{94}$Ru. The effects of configuration mixing from neighboring subshells on the structure of those unique states are analysed. It is shown that a sharp transition from pure seniority coupling to a significant mixture between the $v=2$ and $v=4$ states may be induced by the cross-orbital non-diagonal interaction matrix elements. Such strong mixture is essential to explain the observed E2 transition properties of $N=50$ isotones ${}^{96}$Pd and ${}^{94}$Ru.

References in corpus (6)

• Partial conservation of seniority and nuclear isomerism
• Partial conservation of seniority in $j=9/2$ shell: Analytic and numerical studies
• 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
• Relations Between Coefficients of Fractional Parentage
• Analytic proof of partial conservation of seniority in $j=9/2$ shells

Cited by in corpus (8)

• Is Seniority a Partial Dynamic Symmetry in the First $\nu g_{9/2}$ Shell?
• Recent progress in configuration-interaction shell model
• Overview of Seniority Isomers
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
• 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
• Seniority and $(\frac{9}{2}{)}^n$ configurations in neutron-rich Nickel isotopes
• Partial conservation of seniority in semi-magic nuclei
• Relation to a property of the angular momentum zero space of states of four fermions in an angular momentum $j=9/2$ shell unexpectedly found to be stationary for any rotationally invariant two-body interaction