A New Potential Model for Cluster Decay of the Heavy Nuclei

Abstract

Wecalculate cluster decay half-life of the heavy nuclei by using the WKB barrierpotential model. In this model, the cluster is already preformed in the parentnucleus and orbiting around the daughter nucleus before tunneling through apotential barrier between the cluster and daughter nuclei. In this paper, wepurposethe Morse potential describing interactions between the cluster anddaughter nuclei in order to calculate the cluster decay half-life of the heavynuclei. The Morse potential model is used frequently the vibrational androtational energy spectrum of diatomic molecules and atomic scattering process.Similar calculation for Morse potential is used the vibrational and rotationalenergy spectrum of the nucleus and there is also experimental evidence that thenucleus has a molecular structure. Since the nucleus has a molecular structure,we use the Morse potential in order to describe the interactions between thecluster and daughter nuclei and show that the Morse potential is a convenientmodel in order to explain cluster decay half-life of the heavy nuclei.