Effect of deformation on the calculated half-lives of cluster emission using a proximity potential

Phenomenological potential calculations for cluster decays

“…In conclusion, although the deformation effects have not been considered in the calculations, good agreement has been obtained with the results of CW76 potential given by Nazarzadeh and Mohebali [38], who took into account deformation effects as well. The calculations presented in this paper could be important for providing extra theoretical data for the unknown cluster decay half-lives.…”

“…column presents the experimental log 10 T 1/2 for the related decays taken from Bonetti and Guglielmetti [61] and l m shows the maximum angular momentum of the cluster. In Table 1, the log 10 T 1/2 values of the present work are compared with experimental values, the results of the GLDM [47], the results of Zheng et al [49] considering nuclei as spherical, and the results of Nazarzadeh and Mohebali [38] using CW76. The WS column shows the results of the calculations with WS potential, the WS-2 column shows the results of calculations with WS-2 potential, and the mWS column shows the results of calculations with mWS potential.…”

“…More recently, Nazarzadeh and Mohebali also used the Christensen-Winter potential form (CW76) in order to model nuclear interaction. They obtained good agreement with experimental data by considering the deformation in the calculations [38]. Soylu et al applied phenomenological potentials, which were the deformed Woods-Saxon (WS), the squared Woods-Saxon (WS-2), and Cosh, to find out the halflives of the cluster decays from various isotopes [31] and radium isotopes [37] with and without the deformation cases.…”

“…The theoretical calculations related to cluster decays in terms of quantum tunneling can be performed by fission-like or alpha-like theory. Numerous papers in which authors have used different methods have been published on finding half-lives of these cluster emissions with and without deformation [30][31][32][33][34][35][36][37][38]. More recently, intensive works have been continuing in order to get closed analytical formulas like the Geiger and Nuttall rule for the cluster decays of isotopes [39][40][41][42][43][44].…”