$α+α+{}^{3}$He cluster structure in ${}^{11}$C

Fuente: arXiv
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Auteurs principaux: Cao, Ying-Yu, Tao, De-Ye, Zhou, Bo, Ma, Yu-Gang
Format: Preprint
Publié: 2025
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author Cao, Ying-Yu
Tao, De-Ye
Zhou, Bo
Ma, Yu-Gang
author_facet Cao, Ying-Yu
Tao, De-Ye
Zhou, Bo
Ma, Yu-Gang
contents We study the $α+ α+ {}^{3}$He cluster structure of ${}^{11}$C within the microscopic cluster model. The calculations essentially reproduce the energy spectra for both negative and positive parity states, particularly the $3/2_3^-$ state near the $α+α$+${}^{3}$He threshold. We also calculate the isoscalar monopole, electric quadrupole transition strengths, and root-mean-square radii for the low-lying states. These results suggest that the $3/2_3^-$, $1/2_2^-$, and $5/2_3^-$ states have a well-developed $α+ α$ + ${}^{3}$He cluster structure. The analysis of the generator coordinate method wave functions indicates the dilute gaslike nature for the $3/2_3^-$, $1/2_2^-$, and $5/2_3^-$ states, suggesting that they could be candidates for the Hoyle-analog state. Furthermore, it is found that the $5/2_2^+$ and $5/2_3^+$ states may possess a linear chain structure.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07261
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $α+α+{}^{3}$He cluster structure in ${}^{11}$C
Cao, Ying-Yu
Tao, De-Ye
Zhou, Bo
Ma, Yu-Gang
Nuclear Theory
We study the $α+ α+ {}^{3}$He cluster structure of ${}^{11}$C within the microscopic cluster model. The calculations essentially reproduce the energy spectra for both negative and positive parity states, particularly the $3/2_3^-$ state near the $α+α$+${}^{3}$He threshold. We also calculate the isoscalar monopole, electric quadrupole transition strengths, and root-mean-square radii for the low-lying states. These results suggest that the $3/2_3^-$, $1/2_2^-$, and $5/2_3^-$ states have a well-developed $α+ α$ + ${}^{3}$He cluster structure. The analysis of the generator coordinate method wave functions indicates the dilute gaslike nature for the $3/2_3^-$, $1/2_2^-$, and $5/2_3^-$ states, suggesting that they could be candidates for the Hoyle-analog state. Furthermore, it is found that the $5/2_2^+$ and $5/2_3^+$ states may possess a linear chain structure.
title $α+α+{}^{3}$He cluster structure in ${}^{11}$C
topic Nuclear Theory
url https://arxiv.org/abs/2502.07261