α-Decay calculations of medium mass nuclei within generalized density-dependent cluster model

The α-decay half-lives of even-even medium mass nuclei have been systematically investigated using a radial wave function within the generalized density-dependent cluster model. The α-decay width is calculated using the overlap integral of the quasi-bound initial state wave function, the scattering final state wave function, and the difference of potentials. The effective α-nucleus potential is constructed using the double-folded integral of realistic nucleon-nucleon interactions with the mass density distributions of α particles and daughter nuclei. For comparison calculations are also carried out for the Woods-Saxon shape potential. The present study is restricted to even-even nuclei with 82<N≤126, where the shell effect on the α-preformation factor has been taken into account for even-even N=126 isotones. The obtained α-decay half-lives are found to agree with the experimental data with a mean factor of less than 2 for both the double-folded potential and the Woods-Saxon shape potential.