Systematic study of the α decay preformation factor of nuclei around the \boldsymbolZ=82, \boldsymbolN=126 shell closures within a generalized liquid drop model

2020/05/08 by Hong-Ming Liu, Liu, Hong-Ming, You-Tian Zou +7
Mathematics · Medicine · Physics and Astronomy · #Atomic physics #Combinatorics #Drop (telecommunication) #FOS: Physical sciences #Mathematical physics #Mathematics #Neutron #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Radiation Therapy and Dosimetry #Semi-empirical mass formula #nucl-th

paper · pdf · doi:10.48550/arxiv.2005.03836

published in arXiv (Cornell University) (Cornell University)

arxiv created 2020/05/08 · openalex publication_date 2020/05/08 · arxiv updated 2020/05/11 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this work, we systematically study the α decay preformation factors P_α and α decay half-lives of 152 nuclei around Z = 82, N = 126 closed shells based on a generalized liquid drop model while P_α is extracted from the ratio of the calculated α decay half-life to the experimental one. The results show that there is an obvious linear relationship between P_α and the product of valance protons (holes) N_p and valance neutrons (holes) N_n. At the same time, we extract the P_α values of even-even nuclei around Z = 82, N = 126 closed shells from the work of Sun et al. [\href 10.1088/1361-6471/aac981 J. Phys. G: Nucl. Part. Phys. \bm45, 075106 (2018)], in which the P_α can be calculated by two different microscopic formulas. We find that the P_α are also related to N_pN_n. Combining with our previous works [Sun et al., \href 10.1103/PhysRevC.94.024338 Phys. Rev. C \bm94, 024338 (2016); Deng et al., \href https://doi.org/10.1103/ PhysRevC 96.024318 ibid. \bm96, 024318 (2017); Deng et al., \href 10.1103/PhysRevC.97.044322 ibid. \bm97, 044322 (2018)] and the work of Seif et al. [\href 10.1103/PhysRevC.84.064608Phys. Rev. C \bm84, 064608 (2011)], we suspect that this phenomenon of linear relationship for the nuclei around those closed shells is model independent. It may be caused by the effect of the valence protons (holes) and valence neutrons (holes) around the shell closures. Finally, using the formula obtained by fitting the P_α calculated by the generalized liquid drop model (GLDM), we calculate the α decay half-lives of these nuclei. The calculated results are agree with the experimental data well.

Citations

• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Systematic study of \boldsymbol\mathcalα decay of nuclei around \boldsymbolZ=82, \boldsymbolN=126 shell closure within the cluster-formation model and proximity potential 1977 formalism

Related

• Systematic study of \boldsymbol\mathcalα decay of nuclei around \boldsymbolZ=82, \boldsymbolN=126 shell closure within the cluster-formation model and proximity potential 1977 formalism
• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Theoretical and experimental α decay half-lives of the heaviest odd-Zelements and general predictions
• A global study of α-clusters decay in heavy and superheavy nuclei with half-life and preformation factor
• Systematic Study on the α-particle preformation factor in the theory of α-decay based on the Tabular Prior-data Fitted Network (TabPFN)