Cluster decay half lives of trans-lead nuclei within the Coulomb and proximity potential model

TL;DR

This study uses the Coulomb and proximity potential model to analyze cluster decay half-lives in trans-lead nuclei, comparing results with experimental data and other models, highlighting the significance of doubly magic 208Pb and neutron shell closures.

Contribution

First application of the Coulomb and proximity potential model to a wide range of trans-lead nuclei for cluster decay analysis, with comprehensive comparison to experimental data and other decay laws.

Findings

Good agreement between CPPM and experimental half-lives.

Most decay modes are experimentally accessible.

Neutron shell closure plays a more crucial role than proton shell closure.

Abstract

Within the Coulomb and proximity potential model (CPPM) the cluster decay process in {199-226}^Fr, {206-232}^Ac, {209-237}^Th, {212-238}^Pa, {217-241}^U, {225-242}^Np, {225-244}^Pu, {231-246}^Am, {202-230}^Ra and {233-249}^Cm isotopes leading to the doubly magic 208^Pb and neighbouring nuclei are studied. The computed half lives are compared with available experimental data and are in good agreement with each other. The half lives are also computed using the Universal formula for cluster decay (UNIV) of Poenaru et al, Universal decay law (UDL) and the scaling law of Horoi et al, and their comparisons with CPPM values are found to be in agreement. The calculations for the emission of 22^O, 20^O, 20^O from the parents {209-237}^Th, {202-230}^Ra and {217-240}^U respectively were the experimental values are not available are also done. It is found that most of the decay modes are favourable for measurement, and this observation will serve as a guide to the future experiments. The odd-even staggering (OES) are found to be more prominent in the emission of odd mass clusters. The Geiger - Nuttall plots of log_10(T_1/2) vs. Q^{-1/2} for various clusters ranging from 14^C to 34^Si from different isotopes of heavy parent nuclei with atomic numbers within the range 87 \leq Z \leq 96 have been studied and are found to be linear. Our study reveals the role of doubly magic 208^Pb daughter nuclei in cluster decay process and also reveal the fact that the role of neutron shell closure is crucial than proton shell closure.