Cluster-breaking and reconfiguration effects in $_Λ^{12}\rm{B}$ hypernucleus

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Main Authors: Tian, Jiaqi, Lyu, Mengjiao, Dote, Akinobu, Cheng, Zheng, Myo, Takayuki, Isaka, Masahiro, Horiuchi, Hisashi, Takemoto, Hiroki, Toki, Hiroshi, Wan, Niu, Zhao, Qing
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Published: 2025
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author Tian, Jiaqi
Lyu, Mengjiao
Dote, Akinobu
Cheng, Zheng
Myo, Takayuki
Isaka, Masahiro
Horiuchi, Hisashi
Takemoto, Hiroki
Toki, Hiroshi
Wan, Niu
Zhao, Qing
author_facet Tian, Jiaqi
Lyu, Mengjiao
Dote, Akinobu
Cheng, Zheng
Myo, Takayuki
Isaka, Masahiro
Horiuchi, Hisashi
Takemoto, Hiroki
Toki, Hiroshi
Wan, Niu
Zhao, Qing
contents We investigate the cluster-breaking effect and spatial distribution of negative-parity states in the $_Λ^{12}\rm{B}$ hypernucleus using the Hyper-Brink model with cluster-breaking(CB-Hyper-Brink) optimized via Control Neural Network (Ctrl.NN). The results demonstrate that the inclusion of cluster-breaking is essential for accurately reproducing the observed low-lying energy levels and for making reliable predictions of the Hoyle-analog state 1-4 in $_Λ^{12}\rm{B}$. Cluster-breaking manifests as strong spin-orbit correlations and the dissolution of ideal cluster configurations, as revealed by the analysis of one-body spin-orbit operator expectation values and the spatial overlap with projected cluster bases. The interplay between short-range repulsion and intermediate-range attraction in the Lambda N interaction induces the cluster reconfiguration effect, which is characterized by the coexistence of Lambda-alpha and Lambda-triton correlations; this reconfiguration effect leads to a modest stabilization and shrinkage of cluster structures. The variation in electric quadrupole transition strengths, B(E2), between the ground and Hoyle-analog states serves as a sensitive probe for the degree of cluster-breaking, providing direct evidence for its physical relevance. These findings highlight the crucial role of cluster-breaking in characterizing the hypernuclear structure and offer a comprehensive framework for understanding the interplay between clustering and shell-model dynamics in hypernuclei.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11937
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cluster-breaking and reconfiguration effects in $_Λ^{12}\rm{B}$ hypernucleus
Tian, Jiaqi
Lyu, Mengjiao
Dote, Akinobu
Cheng, Zheng
Myo, Takayuki
Isaka, Masahiro
Horiuchi, Hisashi
Takemoto, Hiroki
Toki, Hiroshi
Wan, Niu
Zhao, Qing
Nuclear Theory
We investigate the cluster-breaking effect and spatial distribution of negative-parity states in the $_Λ^{12}\rm{B}$ hypernucleus using the Hyper-Brink model with cluster-breaking(CB-Hyper-Brink) optimized via Control Neural Network (Ctrl.NN). The results demonstrate that the inclusion of cluster-breaking is essential for accurately reproducing the observed low-lying energy levels and for making reliable predictions of the Hoyle-analog state 1-4 in $_Λ^{12}\rm{B}$. Cluster-breaking manifests as strong spin-orbit correlations and the dissolution of ideal cluster configurations, as revealed by the analysis of one-body spin-orbit operator expectation values and the spatial overlap with projected cluster bases. The interplay between short-range repulsion and intermediate-range attraction in the Lambda N interaction induces the cluster reconfiguration effect, which is characterized by the coexistence of Lambda-alpha and Lambda-triton correlations; this reconfiguration effect leads to a modest stabilization and shrinkage of cluster structures. The variation in electric quadrupole transition strengths, B(E2), between the ground and Hoyle-analog states serves as a sensitive probe for the degree of cluster-breaking, providing direct evidence for its physical relevance. These findings highlight the crucial role of cluster-breaking in characterizing the hypernuclear structure and offer a comprehensive framework for understanding the interplay between clustering and shell-model dynamics in hypernuclei.
title Cluster-breaking and reconfiguration effects in $_Λ^{12}\rm{B}$ hypernucleus
topic Nuclear Theory
url https://arxiv.org/abs/2508.11937