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

Abstract

The α 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 α 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 α 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 α decay half-lives of other superheavy nuclei using the Finite Range Droplet Model Q α and compared with the values derived from the VSS formulae.

Proton radioactivity within a generalized liquid drop model

“…The GLDM allows to describe the processes of fusion, fission, light nucleus and α emission [9,10,11,12,13,14,15,16,17]. The macroscopic energy includes the volume, surface, Coulomb and proximity energies:…”

Theoretical description of superheavy nuclei

“…Refs. [43,56,68,72,73,76,[80][81][82]). In the analysis of the decay chains, however, effects of the single-particle structure of the nuclei have been usually disregarded.…”

Synthesis of the heaviest elements in 48Ca-induced reactions

“…As known, in this case the probability for the decay (or the half-life T α ) is directly connected to the decay energy Q α and the atomic number of the nucleus. The Geiger-Nuttall relation [43], connecting these quantities (in the version of Viola-Seaborg [44] or any other version [45][46][47][48][49]), describes well all 65 known even-even nuclei heavier than Pb, for which both partial half-life and decay energies have been measured. The experimental values obtained earlier in hot and cold fusion reactions and belonging to the α-decay of even-even nuclei with 100 ≤ Z ≤ 110, are shown in Fig.…”