ROLE OF CLUSTER DEFORMATIONS ON THEIR PREFORMATION PROBABILITIES IN RADIOACTIVE CLUSTER–DECAY STUDIES

Abstract

The folded Michigan — 3–Yukawa (M3Y) potential is used for the first time for calculating the WKB penetration probabilities, with deformation effects of the emitted clusters also included for the first time. For the clusters to be spheres, our calculations of the (empirical) performation probabilities P0 show that, depending rather sensitively on the choice of nuclear potential, P0 decreases with mass Ac of the emitted cluster, as is the case for other two model calculations of Blendowske–Walliser and Malik–Gupta. The deformation effects of the emitted clusters are shown to reduce the performation probabilities by an order of magnitude 103, which invalidates the simple straight line formula between — log 10 P0 and Ac.