Alpha-decay quantum-tunnelling calculations based on a folded Woods-Saxon potential

Abstract

Assuming that the α particle is a structureless point particle with two protons and two neutrons, we construct a mean-field-type cluster potential based on the Woods-Saxon potential with a folding factor which is to satisfy the quantization condition of a quasibound cluster state. The folded Woods-Saxon cluster potential has been successfully applied to the calculations of α-particle decay in light and superheavy nuclei. The standard values of the Woods-Saxon parameters were used without any adjustment. The calculated α-decay widths or lifetimes agree generally with experiment. Such a cluster potential leads to a consistent description of single-particle and cluster motions.