Cluster radioactivity of {sup 128-134}Gd isotopes
The cluster radioactivity exhibited by {sup 128-134}Gd isotopes with the exotic emission of certain clusters like {sup 4}He, {sup 8}Be, {sup 12}C, {sup 16}O, {sup 20}Ne, {sup 24}Mg, and {sup 28}Si have been studied. The half-life values for different cluster emissions were calculated by considering the interacting potential barrier as a sum of Coulomb potential and proximity potential. The emission of {sup 28}Si cluster from {sup 128}Gd isotope leads to the formation of {sup 100}Sn daughter nucleus which is a doubly-magic nucleus. Hence, the {sup 28}Si cluster emission is expected to have the lowest half-life and therefore highly favorable for measurements. Our calculations also corroborate this point and thus emphasize the role of {sup 100}Sn in the exotic decay process. The Geiger-Nuttall plots for different cluster emissions were found to be linear, but with different slopes and intercepts. We have studied the variation of these slopes and intercepts as a function of the proton number of clusters. Based on this, we have arrived at a handy and convenient expression for half-life values for emissions of various clusters from {sup 128-134}Gd isotopes.