Cluster decay half-lives using asymmetry dependent densities

Abstract

Adopting different neutron and proton density distributions the cluster decay half-lives have been investigated using double-folding potentials with constant and nuclear asymmetry dependent sets of the parameters of nuclear densities. Two adopted asymmetry dependent sets of the parameters are fitted based on the microscopic calculations and calculated based on the neutron skin/halo-type nuclei assumption and employing experimental rms charge radii. The bulk agreement between theory and experiment has been obtained for entire sets of parameters using calculated cluster preformation probability. The very little differences between skin and halo-type assumption have been observed. However, the notable role of the asymmetry parameter has been seen in relatively large differences between the skin and skin-type with zero thickness.

New Geiger-Nuttall law for cluster radioactivity half-lives*

“…Cluster radioactivity, as one of the most important decay modes [9,10], has been a prominent topic [11] since its first theoretical prediction was proposed by Sǎndulescu, Poenaru, and Greiner in 1980 [12] and experimental confirmation was realized from observing 14 C emitted from 223 Ra by Rose and Jones in 1984 [13]. This exotic decay mode, known as an intermediate physical process between α decay and spontaneous fission [14,15], is gen-erally dealt with via two main types of approaches: α-like and fission-like models [16][17][18][19]. For the former, the emitted cluster is considered pre-born in the parent nucleus before it penetrates the interacting potential barrier with different preformation probabilities [20][21][22][23].…”