Calculation of alpha decay half-lives for even–even nuclei with modified Morse potential using Gamow theory

Abstract

In this work, the modified Morse potential is proposed as a nuclear potential. An analytical study is carried out to calculate the alpha decay half-life of radioactive nuclei with the Morse potential using Gamow theory. To do this, the Wentzel–Kramers–Brillouin (WKB) approximation and Bohr–Sommerfeld quantization condition are used to determine the parameters of the nuclear potential and the expression of the normalization factor F. The calculations are based on the alpha decay half-lives of 118 even–even nuclei radioactive alpha emitting with atomic number Z ranging from 52 to 104. It is then established a correlation between the half-lives found and the energy Q of the emitted alpha particle. Finally, the results obtained are discussed in comparison with experimental results and the literature.