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arXiv · 2402.07962

Alpha-like correlations in $^{20}$Ne, comparison of quartetting wave function and THSR approaches

G. Röpke·C. Xu·B. Zhou·Z. Z. Ren·Y. Funaki·H. Horiuchi·M. Lyu·A. Tohsaki·T. Yamada
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Abstract

$^{20}$Ne can be considered as a double-magic $^{16}$O core nucleus surrounded by four nucleons, the constituents of an $\alpha$-like quartet. Similar to other nuclei ($^{212}$Po, $^{104}$Ti, etc.) with a quartet on top of a double-magic core nucleus, significant $\alpha$-like correlations are expected. Correlations in the ground state of $^{20}$Ne are investigated using different approaches. The quartetting wave function approach (QWFA) predicts a large $\alpha$-like cluster contribution near the surface of the nuclei. The Tohsaki-Horiuchi-Schuck-R\"opke (THSR) approach describes $\alpha$-like clustering in nuclear systems. The results of the QWFA in the Thomas-Fermi and shell-model approximation are compared with THSR calculations for the container model. Results for the $\alpha$ formation probability and the rms radii are shown.

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G. Röpke, C. Xu, B. Zhou, Z. Z. Ren, Y. Funaki, H. Horiuchi, M. Lyu, A. Tohsaki, T. Yamada. 2024-02-11. Alpha-like correlations in $^{20}$Ne, comparison of quartetting wave function and THSR approaches. https://arxiv.org/abs/2402.07962

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