α decay half-lives of new superheavy nuclei within a generalized liquid drop model

Abstract

The \ensuremath{\alpha} decay half-lives of the recently produced isotopes of the 112, 114, 116 and 118 nuclei and decay products have been calculated in the quasi-molecular shape path using the experimental ${Q}_{\ensuremath{\alpha}}$ value and a Generalized Liquid Drop Model including the proximity effects between nucleons in the neck or the gap between the nascent fragments. Reasonable estimates are obtained for the observed \ensuremath{\alpha} decay half-lives. The results are compared with calculations using the Density-Dependent M3Y effective interaction and the Viola-Seaborg-Sobiczewski formulae. Generalized Liquid Drop Model predictions are provided for the \ensuremath{\alpha} decay half-lives of other superheavy nuclei using the Finite Range Droplet Model ${Q}_{\ensuremath{\alpha}}$ and compared with the values derived from the VSS formulae.