Complex valence-space effective operators for observables: the Gamow-Teller transition

Abstract

Nuclei in the vicinity of driplines have been receiving a lot of attention in nuclear structure studies. In the nuclei, the continuum coupling is crucial in reproducing weakly-bound and unbound phenomena. To calculate observables of the nuclei as open quantum systems, we have developed valence-space effective operators in the complex-energy Berggren basis using many-body perturbation theory. We focus on the Gamow-Teller $\beta$ decay in the {\it sd} shell. The two- plus three-nucleon force from the chiral effective field theory (EFT), named EM1.8/2.0, has been used. The Gamow shell model which takes the continuum coupling into account can properly reproduce experimental observations of weakly-bound and unbound states. The $\beta$-decay isospin asymmetry between the dripline nucleus ${}^{22}\mathrm{Si}$ and its mirror partner ${}^{22}\mathrm{O}$ is reproduced, in which the $s_{1/2}$ continuum plays a key role. Significant Thomas-Ehrman shift is seen through mirror energy differences between the mirror daughters ${}^{22}\mathrm{Al}$ and ${}^{22}\mathrm{F}$, in which the continuum effect plays an important role.

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Cited by in corpus (4)

• Puzzling $B(E2;0^{+}\to 2^{+})$ strength in the proton dripline nucleus ${}^{36}$Ca
• Large scale shell model calculation for collectivity in nuclei beyond 78Ni
• Shell model study of isobaric analog states for $T_z=\pm 2$ nuclei using isospin non-conserving interactions
• Structure evolution of ground and excited states in the exotic nucleus ${}^{22}$Al