One-neutron halo structure of $^{29}$Ne

TL;DR

This study uses the Gamow shell model to analyze neutron-rich neon isotopes near the drip-line, revealing evidence of one-neutron p-wave halo structures in $^{29}$Ne and $^{31}$Ne, with implications for understanding halo phenomena in medium-mass nuclei.

Contribution

First application of the Gamow shell model to neon isotopes near the drip-line, demonstrating its effectiveness in describing halo structures with continuum coupling and many-body correlations.

Findings

Evidence of p-wave halo in $^{31}$Ne confirmed.

$^{29}$Ne exhibits a p-wave valence neutron halo.

Ground state of $^{29}$Ne has a larger radius than its excited state.

Abstract

We have applied the Gamow shell model to calculate nuclear observables of $^{26-31}$Ne isotopes pertaining to one-neutron halo structure, these nuclei being situated close to neutron drip-line. As both many-body correlations and continuum coupling are taken into account in that approach, halo structure can be analyzed properly. Our calculations provide good descriptions of $^{26-31}$Ne, where asymptotic behavior is crucial for that matter. One-body density, neutron root-mean-square radii of $^{26-31}$Ne, and one-neutron overlap functions of $^{29,31}$Ne have been calculated as well. Our results support the presence of a one-neutron \textit{p}-wave halo in $^{31}$Ne, already pointed out experimentally. A similar situation also occurs in the ground state of $^{29}$Ne, which is mainly a \textit{p}-wave valence neutron coupled to the inner $^{28}$Ne \textit{core}. The $3/2^+$ excited state of $^{29}$Ne, which is dominated by a \textit{d}-wave valence neutron, has also been considered. A larger radius and more extended wave function occur for the ground state of $^{29}$Ne when compared to its $3/2^+$ first excited state. The present results suggest that $^{29}$Ne is a good candidate for one-neutron \textit{p}-wave halo in the medium-mass region.