Density distribution across the nuclear surface is obtained in the approximation of relatively sharp nuclear edge. It is used to determine dynamical parts of the density relevant to density vibration resonances. Results of the simple calculations are in close agreement with detailed microscopic theories.

The set of parameters for α-nucleus potential is derived by using the data for both the α-decay halflives and the fusion cross-sections around the barrier for reactions α+ 40 Ca, α+ 59 Co, α+ 208 Pb. 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-particle and heavy nuclei can be used for both the formation of very heavy nuclei and spectroscopic studies of the formed compound nuclei.

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