The correlation between the $\alpha$-cluster separation and the neutron S-factor in $^{12}$Be

Zhilian Cai; Qing Zhao; Zaihong Yang; Masaaki Kimura; Bo Zhou; Seung-heon Shin

The correlation between the $\alpha$-cluster separation and the neutron S-factor in $^{12}$Be

Nuclear Theory 2025-01-28 v1

Authors: Zhilian Cai , Qing Zhao , Zaihong Yang , Masaaki Kimura , Bo Zhou , Seung-heon Shin

Abstract

The reduced width amplitudes (RWA) and the spectroscopic factor (S-factor) of $\alpha$ -cluster and valence neutron in $^{12}$ Be are calculated by the generator coordinates method (GCM) with the cluster model. By fixing the distance between the $\alpha$ -clusters' generated coordinates, we make a theoretical experiment to analyze the relationship between the $\alpha$ -clustering separation and the orbital occupation of the valence neutron in $^{12}$ Be. The analysis of the results shows that the percentage of the $\sigma$ orbital occupation in $^{12}$ Be is positively related to the clustering separation.

Keywords

alpha clustering neutron S-factor generator coordinates method spectroscopic factor reduced width amplitude

Cite

@article{arxiv.2501.15974,
  title  = {The correlation between the $\alpha$-cluster separation and the neutron S-factor in $^{12}$Be},
  author = {Zhilian Cai and Qing Zhao and Zaihong Yang and Masaaki Kimura and Bo Zhou and Seung-heon Shin},
  journal= {arXiv preprint arXiv:2501.15974},
  year   = {2025}
}

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5 pages, 6 figures

The correlation between the $\alpha$-cluster separation and the neutron S-factor in $^{12}$Be

Abstract

Keywords

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