New behaviors of α-particle preformation factors near doubly magic 100Sn |
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| Authors: | Jun-Gang Deng Hong-Fei Zhang Xiao-Dong Sun |
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| Affiliation: | 1. School of Physics, Xi'an Jiaotong University, Xi'an 710049, China2. School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China3. China Nuclear Data Center, China Institute of Atomic Energy, Beijing 102413, China |
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| Abstract: | The \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation factors of nuclei above doubly magic nuclei \begin{document}$ ^{100} $\end{document}![]() ![]() Sn and \begin{document}$ ^{208} $\end{document}![]() ![]() Pb are investigated within the generalized liquid drop model. The results show that the \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation factors of nuclei near self-conjugate doubly magic \begin{document}$ ^{100} $\end{document}![]() ![]() Sn are significantly larger than those of analogous nuclei just above \begin{document}$ ^{208} $\end{document}![]() ![]() Pb, and they will be enhanced as the nuclei move towards the \begin{document}$ N = Z $\end{document}![]() ![]() line. The proton–neutron correlation energy \begin{document}$ E_{p-n} $\end{document}![]() ![]() and two protons–two neutrons correlation energy \begin{document}$ E_{2p-2n} $\end{document}![]() ![]() of nuclei near \begin{document}$ ^{100} $\end{document}![]() ![]() Sn also exhibit a similar situation, indicating that the interactions between protons and neutrons occupying similar single-particle orbitals could enhance the \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation factors and result in superallowed \begin{document}$ \alpha $\end{document}![]() ![]() decay. This also provides evidence of the significant role of the proton–neutron interaction on \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation. Also, the linear relationship between \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation factors and the product of valence protons and valence neutrons for nuclei around \begin{document}$ ^{208} $\end{document}![]() ![]() Pb is broken in the \begin{document}$ ^{100} $\end{document}![]() ![]() Sn region because the \begin{document}$ \alpha $\end{document}![]() ![]() -particle preformation factor is enhanced when a nucleus near \begin{document}$ ^{100} $\end{document}![]() ![]() Sn moves towards the \begin{document}$ N = Z $\end{document}![]() ![]() line. Furthermore, the calculated \begin{document}$ \alpha $\end{document}![]() ![]() decay half-lives fit well with the experimental data, including the recent observed self-conjugate nuclei \begin{document}$ ^{104} $\end{document}![]() ![]() Te and \begin{document}$ ^{108} $\end{document}![]() ![]() Xe Phys. Rev. Lett. 121, 182501 (2018)]. |
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| Keywords: | α decay α-particle preformation factor doubly magic nucleus generalized liquid drop model |
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