Proton, alpha and cluster decay rates for nuclei with [formula omitted] and [formula omitted

Abstract

For studying the rates of radioactive nuclei in various decay chains we propose an approach unifying the advantages of the superfluid model for nucleon clustering and of the classical model for resonance tunneling in many-particle systems. We discuss the theoretical bases and numerical approach for decay rate predictions for some highly unstable proton rich trans-tin nuclei. Information on structure and nuclear mass of some exotic nuclei not yet experimentally accessible have also been obtained from a detailed analysis of the p, α and cluster decay rates. It is shown that the Casten-type rate systematics works very well in various schemes of valence nucleon numbers revealing similar decay properties for the nuclei with the same numbers of valence protons and neutrons above the 100 50Sn 50 and 208 82Pb 126 magic cores.