α-nucleus potential for α-decay and sub-barrier fusion

The set of parameters for {α}-nucleus potential is derived by using the data for both the {α}-decay half-lives and the fusion cross sections around the barrier for reactions α+⁴⁰Ca$, ${α}+⁵⁹Co, and α+²⁰⁸Pb$. The {α}-decay half-lives are obtained in the framework of a cluster model using the WKB approximation. The evaluated {α}-decay half-lives and the fusion cross sections agreed well with the data. Fusion reactions between {α} particles and heavy nuclei can be used for both the formation of very heavy nuclei and spectroscopic studies of the formed compound nuclei.