Analytic expressions for the proximity energy, the fusion process and the [formula omitted] emission

Abstract

The entrance and exit channels through quasimolecular shapes are compatible with the experimental data on fusion, light nucleus and α emissions when the proximity energy is taken into account. Analytic expressions allowing to determine rapidly this proximity energy are presented as well as formulas for the fusion barrier heights and radii and for the α emission barriers. Predictions for half-lives of exotic α emissions are proposed.