Study of α-decay half-life for axially symmetric deformed even–even isotopes of nuclei with atomic numbers 88≤Z≤104

Abstract

In this paper, [Formula: see text]-decay half-life of axially symmetric deformed even–even isotopes with atomic numbers [Formula: see text] had been studied for the transition between the ground states of the parent and daughter nuclei. Quadrupole deformation of daughter nuclei (if any) is considered in calculations. The interaction between the [Formula: see text]-particle and daughter nucleus includes the nuclear double-folding, the Coulomb and rotational terms. Wang’s formula is used for coulomb interaction between spherical [Formula: see text]-particle and deformed daughter nucleus. The Q-value of [Formula: see text]-decay is calculated and used to obtain its half-life, based on the WKB approximation for the penetration probability of [Formula: see text]-particle through the potential barrier. A Q-value-related formula is used to estimate the [Formula: see text]-particle preformation factor. The calculated [Formula: see text]-decay half-lives are compared with the available experimental data. The standard deviation between computed results and experimental data is obtained equal to 0.288. Comparison of our obtained standard deviation indicates well the validity of our chosen theoretical model. Furthermore, the characteristic of [Formula: see text]-decay energy and half-lives confirms the shell effects at [Formula: see text] magic number. Also, the obtained results predict similar closed shells behavior at [Formula: see text] and [Formula: see text] neutron numbers.