Cross-shell excited configurations in the structure of 34Si

R. S. Lubna, A. B. Garnsworthy, Vandana Tripathi, G. C. Ball, C. R. Natzke, M. Rocchini, C. Andreoiu, S. S. Bhattacharjee, I. Dillmann, F. H. Garcia, S. A. Gillespie, G. Hackman, C. J. Griffin, G. Leckenby, T. Miyagi, B. Olaizola, C. Porzio, M. M. Rajabali, Y. Saito, P. Spagnoletti, S. L. Tabor, R. Umashankar, V. Vedia, A. Volya, J. Williams, D. Yates
Nuclear Experiment, Nuclear Experiment (nucl-ex)
Phys. Rev. C 109, 014309 (2024)
2024-01-08 00:00:00
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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