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

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Auteurs principaux: Röpke, G., Xu, C., Zhou, B., Ren, Z. Z., Funaki, Y., Horiuchi, H., Lyu, M., Tohsaki, A., Yamada, T.
Format: Preprint
Publié: 2024
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author Röpke, G.
Xu, C.
Zhou, B.
Ren, Z. Z.
Funaki, Y.
Horiuchi, H.
Lyu, M.
Tohsaki, A.
Yamada, T.
author_facet Röpke, G.
Xu, C.
Zhou, B.
Ren, Z. Z.
Funaki, Y.
Horiuchi, H.
Lyu, M.
Tohsaki, A.
Yamada, T.
contents $^{20}$Ne can be considered as a double-magic $^{16}$O core nucleus surrounded by four nucleons, the constituents of an $α$-like quartet. Similar to other nuclei ($^{212}$Po, $^{104}$Ti, etc.) with a quartet on top of a double-magic core nucleus, significant $α$-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 $α$-like cluster contribution near the surface of the nuclei. The Tohsaki-Horiuchi-Schuck-Röpke (THSR) approach describes $α$-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 $α$ formation probability and the rms radii are shown.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07962
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Alpha-like correlations in $^{20}$Ne, comparison of quartetting wave function and THSR approaches
Röpke, G.
Xu, C.
Zhou, B.
Ren, Z. Z.
Funaki, Y.
Horiuchi, H.
Lyu, M.
Tohsaki, A.
Yamada, T.
Nuclear Theory
$^{20}$Ne can be considered as a double-magic $^{16}$O core nucleus surrounded by four nucleons, the constituents of an $α$-like quartet. Similar to other nuclei ($^{212}$Po, $^{104}$Ti, etc.) with a quartet on top of a double-magic core nucleus, significant $α$-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 $α$-like cluster contribution near the surface of the nuclei. The Tohsaki-Horiuchi-Schuck-Röpke (THSR) approach describes $α$-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 $α$ formation probability and the rms radii are shown.
title Alpha-like correlations in $^{20}$Ne, comparison of quartetting wave function and THSR approaches
topic Nuclear Theory
url https://arxiv.org/abs/2402.07962