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

In this paper, α -decay half-life of axially symmetric deformed even–even isotopes with atomic numbers 8 8 ≤ Z ≤ 1 0 4 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 α -particle and daughter nucleus includes the nuclear double-folding, the Coulomb and rotational terms. Wang's formula is used for coulomb interaction between spherical α -particle and deformed daughter nucleus. The Q-value of α -decay is calculated and used to obtain its half-life, based on the WKB approximation for the penetration probability of α -particle through the potential barrier. A Q-value-related formula is used to estimate the α -particle preformation factor. The calculated α -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 α -decay energy and half-lives confirms the shell effects at N = 1 2 6 magic number. Also, the obtained results predict similar closed shells behavior at N = 1 5 2 and N = 1 6 2 neutron numbers. [ABSTRACT FROM AUTHOR]