Multireference covariant density functional theory for shape coexistence and isomerism in $^{43}$S

Fuente: arXiv
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Autori principali: Zhou, E. F., Wu, X. Y., Xiang, J., Yao, J. M., Ring, P.
Natura: Preprint
Pubblicazione: 2025
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author Zhou, E. F.
Wu, X. Y.
Xiang, J.
Yao, J. M.
Ring, P.
author_facet Zhou, E. F.
Wu, X. Y.
Xiang, J.
Yao, J. M.
Ring, P.
contents We extend the multireference covariant density functional theory (MR-CDFT) to describe the low-lying states of the odd-mass nucleus $^{43}$S near the neutron magic number $N=28$ with shape coexistence. The wave functions of the low-lying states are constructed as superpositions of configurations with different intrinsic shapes and $K$ quantum numbers, projected onto good particle numbers and angular momenta. The MR-CDFT successfully reproduces the main features of the low-energy structure in $^{43}$S. Our results indicate that the ground state, $3/2^-_1$, is predominantly composed of the intruder prolate one-quasiparticle (1qp) configuration $\nu1/2^-[321]$. In contrast, the $7/2^-_1$ state is identified as a high-$K$ isomer, primarily built on the prolate 1qp configuration $\nu7/2^-[303]$. Additionally, the $3/2^-_2$ state is found to be an admixture dominated by an oblate configuration with $K^π= 1/2^-$, along with a small contribution from a prolate configuration with $K^π= 3/2^-$. These results demonstrate the capability of MR-CDFT to capture the intricate interplay among shape coexistence, $K$-mixing, and isomerism in the low-energy structure of odd-mass nuclei around $N = 28$.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11244
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multireference covariant density functional theory for shape coexistence and isomerism in $^{43}$S
Zhou, E. F.
Wu, X. Y.
Xiang, J.
Yao, J. M.
Ring, P.
Nuclear Theory
Nuclear Experiment
We extend the multireference covariant density functional theory (MR-CDFT) to describe the low-lying states of the odd-mass nucleus $^{43}$S near the neutron magic number $N=28$ with shape coexistence. The wave functions of the low-lying states are constructed as superpositions of configurations with different intrinsic shapes and $K$ quantum numbers, projected onto good particle numbers and angular momenta. The MR-CDFT successfully reproduces the main features of the low-energy structure in $^{43}$S. Our results indicate that the ground state, $3/2^-_1$, is predominantly composed of the intruder prolate one-quasiparticle (1qp) configuration $\nu1/2^-[321]$. In contrast, the $7/2^-_1$ state is identified as a high-$K$ isomer, primarily built on the prolate 1qp configuration $\nu7/2^-[303]$. Additionally, the $3/2^-_2$ state is found to be an admixture dominated by an oblate configuration with $K^π= 1/2^-$, along with a small contribution from a prolate configuration with $K^π= 3/2^-$. These results demonstrate the capability of MR-CDFT to capture the intricate interplay among shape coexistence, $K$-mixing, and isomerism in the low-energy structure of odd-mass nuclei around $N = 28$.
title Multireference covariant density functional theory for shape coexistence and isomerism in $^{43}$S
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2504.11244