The impact of the off-diagonal cross-shell interaction on ${}^{14}$C

Abstract

The shell-model investigation is performed to show the impact on the structure of ${}^{14}$C contributed by the off-diagonal cross-shell interaction, $⟨pp\mid$V$\mid sdsd⟩$, which represents the mixing between the $0$ and $2\hslash \omega$ configurations in the $psd$ model space. Observed levels of the positive states in ${}^{14}$C can be nicely described in $0-4\hslash \omega$ or a larger model space through the well defined Hamiltonians, YSOX and WBP, with a reduction on the strength of the $⟨pp\mid$V$\mid sdsd⟩$ interaction in the latter. The observed B(GT) values for ${}^{14}$C can be generally described by YSOX, while WBP and their modifications on the $⟨pp\mid$V$\mid sdsd⟩$ interaction fail for some values. Further investigation shows the effect of such interaction on the configuration mixing and occupancy. The present work shows examples on how the off-diagonal cross-shell interaction strongly drives the nuclear structure.

Comments: will be appear in Chinese Physics C