Cross-shell excited configurations in the structure of 34Si

Abstract

The cross-shell excited states of ${}^{34}$Si have been investigated via $\beta$-decays of the $4^{-}$ ground state and the $1^{+}$ isomeric state of ${}^{34}$Al. Since the valence protons and valence neutrons occupy different major shells in the ground state as well as the intruder $1^{+}$ isomeric state of ${}^{34}$Al, intruder levels of ${}^{34}$Si are populated via allowed $\beta$ decays. Spin assignments to such intruder levels of ${}^{34}$Si were established through $\gamma$-$\gamma$ angular correlation analysis for the negative parity states with dominant configurations $(\nu d_{3/2}{)}^{-1}\otimes (\nu f_{7/2}{)}^1$ as well as the positive parity states with dominant configurations $(\nu sd{)}^{-2}\otimes (\nu f_{7/2}{p}_{3/2}{)}^2$. The configurations of such intruder states play crucial roles in our understanding of the $N=20$ shell gap evolution. A configuration interaction model derived from the FSU Hamiltonian was utilized in order to interpret the intruder states in ${}^{34}$Si. Shell model interaction derived from a more fundamental theory with the Valence Space In Medium Similarity Renormalization Group (VS-IMSRG) method was also employed to interpret the structure of ${}^{34}$Si.

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