$α$-decay half-lives and $α$-cluster preformation factors of nuclei around $N=Z$ line
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912701703258112 |
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| author | Li, Jing He, Shan Li, Yueqing Wang, Weiwei Wang, Yanzhao Gu, Jianzhong |
| author_facet | Li, Jing He, Shan Li, Yueqing Wang, Weiwei Wang, Yanzhao Gu, Jianzhong |
| contents | In this work, a microscopic effective nucleon-nucleon interaction based on the Dirac-Brueckner-Hartree-Fock $G$ matrix starting from a bare nucleon-nucleon interaction is used to explore the $α$-decay half-lives of the nuclei near $N=Z$ line. Specifically, the $α$-nucleus potential is constructed by doubly folding the effective nucleon-nucleon interaction with respect to the density distributions of both the $α$-cluster and daughter nucleus. Moreover, the $α$-cluster preformation factor is extracted by a cluster formation model. It is shown that the calculated half-lives can reproduce the experimental data well. Then, the $α$-decay half-lives that are experimentally unavailable for the nuclei around $N=Z$ are predicted, which are helpful for searching for the new candidates of $α$-decay in future experiments. In addition, by analyzing the proton-neutron correlation energy and two protons-two neutrons correlation energy of $Z=52$ and $Z=54$ isotopes, the $α$-cluster preformation factor evolution with $N$ is explained. Furthermore, it is found that the two protons-two neutrons interaction plays more important role in $α$-cluster preformation than the proton-neutron interaction. Meanwhile, proton-neutron interaction results in the odd-even effect of the $α$-cluster preformation factor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08051 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $α$-decay half-lives and $α$-cluster preformation factors of nuclei around $N=Z$ line Li, Jing He, Shan Li, Yueqing Wang, Weiwei Wang, Yanzhao Gu, Jianzhong Nuclear Theory In this work, a microscopic effective nucleon-nucleon interaction based on the Dirac-Brueckner-Hartree-Fock $G$ matrix starting from a bare nucleon-nucleon interaction is used to explore the $α$-decay half-lives of the nuclei near $N=Z$ line. Specifically, the $α$-nucleus potential is constructed by doubly folding the effective nucleon-nucleon interaction with respect to the density distributions of both the $α$-cluster and daughter nucleus. Moreover, the $α$-cluster preformation factor is extracted by a cluster formation model. It is shown that the calculated half-lives can reproduce the experimental data well. Then, the $α$-decay half-lives that are experimentally unavailable for the nuclei around $N=Z$ are predicted, which are helpful for searching for the new candidates of $α$-decay in future experiments. In addition, by analyzing the proton-neutron correlation energy and two protons-two neutrons correlation energy of $Z=52$ and $Z=54$ isotopes, the $α$-cluster preformation factor evolution with $N$ is explained. Furthermore, it is found that the two protons-two neutrons interaction plays more important role in $α$-cluster preformation than the proton-neutron interaction. Meanwhile, proton-neutron interaction results in the odd-even effect of the $α$-cluster preformation factor. |
| title | $α$-decay half-lives and $α$-cluster preformation factors of nuclei around $N=Z$ line |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2511.08051 |