Alpha-decay half-lives and alpha-capture cross-sections

Abstract

The same alpha-nucleus interaction describes the alpha-decay and alpha-capture reactions in the Unified Model for Alpha-Decay and Alpha-Capture (UMADAC). The data for the ground-state-to-ground-state alpha-transition half-lives in 420 nuclei, the half-lives for alpha-transition from the ground state to the first excited $2^{+}$ state in 74 even–even nuclei, and the alpha-capture cross sections of 20 spherical and deformed nuclei are used for defining the parameters of the UMADAC. The pointed data are well described in the framework of the UMADAC utilizing the obtained parameters. The ground-state-to-ground-state alpha-transition half-lives in 3802 nuclei with the proton $Z$ and nucleon $A$ numbers in the ranges 50 $\le Z\le$ 126 and 97 $\le A\le$ 340 are calculated in the UMADAC and presented in the Table 1. The quadrupole and hexadecapole deformations of the daughter nucleus are considered in the UMADAC. The minimal values of the orbital momenta of the alpha-transition between the ground states are found using available experimental and theoretical data for the ground state spin and parity values of nuclei. The half-lives for 223 alpha-transitions from the ground-state of the parent even–even nuclei to the lowest $2^{+}$ state of the daughter nuclei with the proton $Z$ and nucleon $A$ numbers in the ranges 52 $\le Z\le$ 102 and 108 $\le A\le$ 254 are obtained in the UMADAC and given in the Table 2.