ANALYTIC RELATIONS FOR PARTIAL ALPHA DECAY HALF-LIVES AND BARRIER HEIGHTS AND POSITIONS

Abstract

From an adjustment on a recent selected data set of partial α-decay half-lives of 344 ground state to ground state transitions, analytic formulae are proposed depending on the angular momentum of the α particle. In particular, an expression allows to reproduce precisely the partial α-decay half-lives of even-even heavy nuclei and, then, to predict accurately the partial α-decay half-lives of other very heavy elements from the experimental or predicted Qα. Simple expressions are also provided to calculate the potential barrier radius and height.