Cluster radioactivity in xenon isotopes

Half-life time and branching ratio for cluster decay from various xenon isotopes are studied taking Coulomb and proximity potentials as interacting barrier. Inclusion of proximity potential reduces the height of potential barrier, which closely agrees with the experiments. It is found that⁴He,⁸Be,¹²C and¹⁶O emissions are well within the present upper limit for measurements (T _1/2 10³⁰ s). Our predicted half-life time values lie close to those values reported by Gupta and collaborators based on preformed cluster model (PCM) and also with those values reported by Poenaruet al based on ASAFM. The calculated half-life time shows that⁸Be from¹⁰⁸Xe and¹¹⁰Xe are most favourable for emission (T _1/2 ≈ 10⁸ s). LowestT ^1/2 value for⁸Be emission from¹⁰⁸Xe stress the role of doubly magic¹⁰⁰Sn daughter in cluster decay process. The logarithm of half-life time calculated for⁴He emission from¹¹⁰Xe is −0.39 s which is in good agreement with experimental value which is −0.40 s. Geiger-Nuttall plots for all clusters are studied and are found to be linear. Nuclear structure effect and shell effect are evident from the observed variation in slope and intercept of Geiger—Nuttall plots. It is found that neutron excess in the parent will slow down the cluster decay process.