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 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 -decay isospin asymmetry between the dripline nucleus and its mirror partner is reproduced, in which the continuum plays a key role. Significant Thomas-Ehrman shift is seen through mirror energy differences between the mirror daughters and , in which the continuum effect plays an important role.
Cite
@article{arxiv.2306.06692,
title = {Complex valence-space effective operators for observables: the Gamow-Teller transition},
author = {Z. C. Xu and S. Zhang and J. G. Li and S. L. Jin and Q. Yuan and Z. H. Cheng and N. Michel and F. R. Xu},
journal= {arXiv preprint arXiv:2306.06692},
year = {2023}
}