Ab initio study of island of inversion in odd-$A$ nuclei: Structure of $^{31,33}$Mg

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Main Authors: Sahoo, Subhrajit, Srivastava, Praveen C.
Format: Preprint
Published: 2025
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author Sahoo, Subhrajit
Srivastava, Praveen C.
author_facet Sahoo, Subhrajit
Srivastava, Praveen C.
contents We study the $N=20$ island of inversion region in the odd-$A$ Ne and Mg isotopes from the fundamental nuclear forces based on chiral two- and three-nucleon potentials. The state-of-the-art \textit{ab initio} valence space in medium similarity renormalization method was used for this purpose. Our study focuses on the evolution of single-particle states and discusses their transition into the island of inversion through particle-hole excitations across the $N=20$ shell gap. The computed low-lying states and magnetic moments are in good agreement with the experimental data. We presented the rotational band structures, established via $E2$ transitions, in $^{31}$Mg and $^{33}$Mg, which emerge from both normal and intruder configurations at low excitation energies. Our results suggest the presence of weak, moderate, and strongly prolate-deformed configurations at low energy in both isotopes. The present work offers valuable insights into the configurations and shapes of low-lying states in nuclei within the island of inversion, enhancing our understanding of the structures of exotic nuclei from first principles.
format Preprint
id arxiv_https___arxiv_org_abs_2509_23354
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ab initio study of island of inversion in odd-$A$ nuclei: Structure of $^{31,33}$Mg
Sahoo, Subhrajit
Srivastava, Praveen C.
Nuclear Theory
Nuclear Experiment
We study the $N=20$ island of inversion region in the odd-$A$ Ne and Mg isotopes from the fundamental nuclear forces based on chiral two- and three-nucleon potentials. The state-of-the-art \textit{ab initio} valence space in medium similarity renormalization method was used for this purpose. Our study focuses on the evolution of single-particle states and discusses their transition into the island of inversion through particle-hole excitations across the $N=20$ shell gap. The computed low-lying states and magnetic moments are in good agreement with the experimental data. We presented the rotational band structures, established via $E2$ transitions, in $^{31}$Mg and $^{33}$Mg, which emerge from both normal and intruder configurations at low excitation energies. Our results suggest the presence of weak, moderate, and strongly prolate-deformed configurations at low energy in both isotopes. The present work offers valuable insights into the configurations and shapes of low-lying states in nuclei within the island of inversion, enhancing our understanding of the structures of exotic nuclei from first principles.
title Ab initio study of island of inversion in odd-$A$ nuclei: Structure of $^{31,33}$Mg
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2509.23354