Abstract

We have studied half lives and penetration probability for even-even nuclei having atomic number 106 to 118.The frequency have been calculated using classical methods. The penetration probability was estimated by modifying the Gamow’s theory of alpha decay by varying the potential and it was found to be in a very good agreement with the experimental half-lives. The half-lives for alpha decay can be mainly determined by penetration probability. We have seen that in simple spherical symmetric potential there is a discontinuous jump of the potential which tends to be not physical because the force there becomes infinite. In this present work the square well model is modified by smoothing the potential well inside the nucleus to the top of the coulomb barrier at the outer side of the potential well which we will call as S-potential. The pre-formation factor was calculated from experimental alpha decay energies and half-lives. The theoretical explanation was experimentally proved by Geiger-Nuttall law. The S-potential (Smoothened) gives a better match with the experimental data.

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