Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei

Abstract

We evaluate the allowed ${\beta }^{-}$-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.

arXiv comment11 pages, 15 figures, 2 tables, Accepted version in Progress of Theoretical and Experimental Physics (2020).[The Physical Society of Japan]

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• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{59,60}$Fe: Possible candidates for $g_A$ sensitive electron spectral-shape measurements
• Shell-model description for the properties of the forbidden ${\beta }^{-}$ decay in the region "north-east" of ${}^{208}$Pb
• Structure of ${}^{46,47}$Ca from the ${\beta }^{-}$ decay of ${}^{46,47}$K in the framework of nuclear shell model
• Re examination of the effect of Pairing Gaps on Gamow Teller Strength Distributions and beta decay Rates
• Shell-model study for allowed and forbidden ${\beta }^{-}$ decay properties in the mass region "south" of ${}^{208}$Pb
• Modification of tensor force in \textit{p}-shell effective interaction