Nuclear $\beta$ spectrum from projected shell model (I): allowed one-to-one transition
Abstract
Nuclear spectrum and the corresponding (anti-)neutrino spectrum play important roles in many aspects of nuclear astrophysics, particle physics, nuclear industry and nuclear data. In this work we propose a projected shell model (PSM) to calculate the level energies as well as the reduced one-body transition density (ROBTD) by the Pfaffian algorithm for nuclear decays. The calculated level energies and ROBTD are inputed to the Beta Spectrum Generator (BSG) code to study the high precision spectrum of allowed one-to-one transitions. When experimental level energies are adopted, the calculated spectrum by ROBTD of the PSM deviates from the one by the extreme simple particle evaluation of the BSG by up to , reflecting the importance of nuclear many-body correlations. When calculated level energies are adopted, the calculated spectrum shows sensitive dependence on the reliability of calculated level energies. The developed method for ROBTD by the PSM will also be useful for study of the first-forbidden transitions, the isovector spin monopole resonance etc. in a straightforward way.
Cite
@article{arxiv.2308.11299,
title = {Nuclear $\beta$ spectrum from projected shell model (I): allowed one-to-one transition},
author = {Fan Gao and Zi-Rui Chen and Long-Jun Wang},
journal= {arXiv preprint arXiv:2308.11299},
year = {2023}
}