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arXiv · 2502.07261

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

Ying-Yu Cao·De-Ye Tao·Bo Zhou·Yu-Gang Ma
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Abstract

We study the $\alpha + \alpha + {}^{3}$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 $\alpha+\alpha$+${}^{3}$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 $\alpha + \alpha$ + ${}^{3}$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.

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Ying-Yu Cao, De-Ye Tao, Bo Zhou, Yu-Gang Ma. 2025-02-11. $\alpha+\alpha+{}^{3}$He cluster structure in ${}^{11}$C. https://arxiv.org/abs/2502.07261

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