Abstract
The cluster radioactivity exhibited by 128–134Gd isotopes with the exotic emission of certain clusters like 4He, 8Be, 12C, 16O, 20Ne, 24Mg, and 28Si 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 28Si cluster from 128Gd isotope leads to the formation of 100Sn daughter nucleus which is a doubly-magic nucleus. Hence, the 28Si 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 100Sn 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 128–134Gd isotopes.
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