Shell model results for nuclear $β^-$-decay properties of $sd$ shell nuclei

Abstract

We evaluate the allowed $β^-$-decay properties of nuclei with $Z=8-15$ systematically under the framework of the nuclear shell model with the use of the valence space Hamiltonians derived from modern $abintio$ methods, such as in-medium similarity renormalization group and coupled-cluster theory. For comparison we also show results obtained with fitted interaction derived from the chiral effective field theory and phenomenological USDB interaction. We have performed calculations for O $\to$ F, F $\to$ Ne, Ne $\to$ Na, Na $\to$ Mg, Mg $\to$ Al, Al $\to$ Si, Si $\to$ P and P $\to$ S transitions. Theoretical results of $B(GT)$, log$ft$ values and half-lives, are discussed and compared with the available experimental data.

11 pages, 15 figures, 2 tables, Accepted version in Progress of Theoretical and Experimental Physics (2020).[The Physical Society of Japan]