$Abinitio$ calculations for Gamow-Teller strengths in $sd$ shell

Abstract

In the present work we perform a systematic shell model study of Gamow-Teller transition strength distributions in $sd$ shell nuclei using $abinitio$ effective interactions. The $abinitio$ effective interactions are based on in-medium similarity renormalization group (IM-SRG) and coupled-cluster effective interaction (CCEI) approaches. The aim of the present work is to test the predictive power of $abinitio$ effective interactions by using the available experimental data of Gamow-Teller strength distributions in $sd$ shell nuclei. We perform calculations for ${}^{20}$Ne $\to$ ${}^{20}$F, ${}^{23}$Na $\to$ ${}^{23}$Mg, ${}^{23}$Na $\to$ ${}^{23}$Ne, ${}^{24}$Mg $\to$ ${}^{24}$Na, ${}^{24}$Mg $\to$ ${}^{24}$Al, ${}^{25}$Mg $\to$ ${}^{25}$Al, ${}^{26}$Mg $\to$ ${}^{26}$Na, ${}^{26}$Mg $\to$ ${}^{26}$Al, ${}^{26}$Si $\to$ ${}^{26}$Al, ${}^{27}$Al $\to$ ${}^{27}$Si, ${}^{28}$Si $\to$ ${}^{28}$P, ${}^{31}$P $\to$ ${}^{31}$Si, and ${}^{32}$S $\to$ ${}^{32}$P transitions. For comparison we also show the results obtained by using the phenomenological USDB Hamiltonian. The phenomenological USDB results of the Gamow-Teller (GT${}_{+}$/GT${}_{-}$) strength distributions show reasonable agreements with the experimental data in comparison to the $abinitio$ interactions. We also calculate the electron capture reaction rates for ${}^{23}$Na(e${}^{-}$, $\nu$)${}^{23}$Ne and ${}^{25}$Mg(e${}^{-}$, $\nu$)${}^{25}$Na using $abinitio$ and USDB interactions.

19 pages, 16 figures

References in corpus (9)

• Chiral effective field theory and nuclear forces
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Local three-nucleon interaction from chiral effective field theory
• In-Medium Similarity Renormalization Group for Nuclei
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• First-principles results for electromagnetic properties of $sd$ shell nuclei
• Spectroscopy of 24Al and extraction of Gamow-Teller strengths with the 24Mg(3He,t) reaction at 420 MeV
• Gamow-Teller strengths in 24Na using the 24Mg(t,3He) reaction at 115 AMeV

Cited by in corpus (14)

• Effective interactions in the sd shell
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• Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{59,60}$Fe: Possible candidates for $g_A$ sensitive electron spectral-shape measurements
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Probing the dark sector with nuclear transition photons
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• $Abinitio$ description of collectivity for $sd$ shell nuclei
• $\beta$-decay properties of some astrophysically important Sc-isotopes
• Higher forbidden unique ${\beta }^{-}$ decay transitions and shell-model interpretation
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei
• Weak interaction rates of $sd$-shell Urca pairs in stellar environment using a shell-model approach
• Recent applications of the subtracted second RPA method