论文标题
保利排除原则对α衰变的影响
Influence of the Pauli exclusion principle on the alpha decay
论文作者
论文摘要
在这项研究中，研究了由Pauli排除原理引起的排斥性核子核子相互作用的影响，以$ 84 \ leq Z \ leq92 $的重量均匀核的半衰期。 Pauli排除原理是通过根据Bohr-Sommerfeld量化条件重新归一化的核子核子相互作用来对我们的研究进行的。通过研究Alpha和女儿核之间的重叠区域的动能变化，它也适用于双重折（$ df $）形式主义作为修改项。重新归一化的DF形式主义的计算出的半衰期与相应的实验数据的标准偏差为0.340。对于通过扩展的Thomas-Fermi方法估算的动能贡献，其值将其值降低到0.309。如果动能贡献与DF形式主义相关，则计算出的$α$衰减半衰期与实验数据更一致。
In this study, the effects of repulsive nucleon-nucleon interactions arising from the Pauli exclusion principle were examined regarding the half-lives of heavy even-even nuclei with $84\leq Z\leq92$. The Pauli exclusion principle is applied to our investigations by renormalizing the nucleon-nucleon interactions according to the Bohr-Sommerfeld quantization condition. It is also applied to the double-folding ($DF$) formalism as a modification term by investigating the kinetic energy variation at the overlapping regions between the densities of the alpha and daughter nuclei. The standard deviation for the calculated half-lives from their corresponded experimental data is 0.340 for the renormalized DF formalism. Its value reduces to 0.309 for the DF formalism modified with the kinetic energy contribution estimated by the extended Thomas-Fermi approach. The calculated $α$ decay half-lives are more consistent with experimental data if the kinetic energy contribution is associated with the DF formalism.
