Influence of deformed surface diffuseness on alpha decay half-lives of actinides and lanthanides

Abstract

By using semiclassical WKB method and taking into account the Bohr–Sommerfeld quantization condition, the alpha decay half-lives of some deformed lanthanide (with 151≤A≤160 and 66≤Z≤73) and rare-earth nuclei (with 217≤A≤261 and 92≤Z≤104) have been calculated. The effective potential has been considered as sum of deformed Woods–Saxon nuclear potential, deformed Coulomb potential, and centrifugal potential. The influence of deformed surface diffuseness on the potential barrier, transmission coefficient at each angle, assault frequency, and alpha decay half-lives has been investigated. Good agreement between calculated half-lives with deformed surface diffuseness and experiment is observed. Relative differences between calculated half-lives with deformed surface diffuseness and with constant surface diffuseness were significant.