New semiempirical formula for exotic cluster decay

Abstract

A new semiempirical formula, with only three parameters, is proposed for cluster decay half-lives. The parameters of the formula are obtained by making a least squares fit to the available experimental data. The calculated half-lives are compared with an earlier proposed model-independent scaling law. Also, the calculated results of this formula are compared with the recent results of the preformed cluster model for 12 C and 14 C emissions from different deformed and superdeformed Nd and Gd parents. The results are in good agreement with experiments as well as other models. 23.90.+w,25.85.Ca,23.60.+e

Half-Lives of Cluster Decay of Neutron Rich Nuclei in Trans-Tin Region

“…Subsequently, Gupta and collaborators 35 proposed another empirical relation for determining half-lives of exotic decay. In 2004, Ren et al 36 developed a new formula which was a generalization of Geiger-Nuttall law and Viola-Seaborg formula from simple alpha decay to complex cluster radioactivity.…”

Role of 208Pb daughter nucleus and nuclear shell effects in trans‐lead cluster radioactivity by emission of neon clusters from 218–236U isotopes

“…So far, the emission of 22 Ne, 24 Ne, 25 Ne, 26 Ne, 28 Mg, 29 Mg and 30 Mg clusters from 230,232−236 U isotopes have been experimentally confirmed [8].…”

“…In 1989, Malik and Gupta [9] have studied the cluster decay of some experimentally observed decay modes using preformed cluster model (PCM). In subsequent years, Gupta and collaborators [21][22][23][24][25] have extensively studied the cluster decay of heavy nuclei in the trans-lead region. Santhosh et al [26][27][28] have calculated half-lives for experimentally observed cluster decay modes of several heavy nuclei in the trans-lead region by using Coulomb Proximity potential model [CPPM].…”

“…It can be noticed from the survey of literature that in addition to many theoretical models, several semiempirical formulae have also been proposed [22,28,[35][36][37][38][39][40][41][42] to explain available experimental data on heavy cluster decay. The semi-empirical formulae are very convenient to calculate half-lives for different cluster decay modes from different parent nuclei and to predict possible decay modes for future experiments.…”

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In the present work, the cluster radioactivity of even A uranium isotopes ( 218-236 U) with the emission of both alphalike and non-alpha-like neon clusters ( 20,22,24,26,28 Ne) was studied. The decimal logarithm of half-lives (expressed in seconds) were calculated by three different approaches based on (i) the single line of Universal curve (UNIV) for alpha and cluster radioactive decay, (ii) the Universal Decay law (UDL) and (iii) by considering a fission-like model in which the interacting nuclear potential barrier was taken to be the sum of Coulomb and proximity potentials (CPPM) respectively.

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