Theoretical Interpretation of Half Life of Alpha Radioactive Nuclei Compared with Experiment.

Abstract

In 1928, George Gamow used some knowledge about tunneling and the WentzelKramers-Brillouin approximation(to the one-dimensional time independent Schrodinger equation) to provide the first theoretical account of alpha decay (emission of 2 protons and 2 neutrons by heavy nuclei). In this paper, it would be discussed, in first place, the WKB approximation and its application to one-dimensional potentials which act as barriers (the scattering problem). In this study , the theoretical half lives of the heavy alpha radioactive nuclei and alpha energies also have been studied. A formula for half life of alpha decay was constructed by a conventional way by considering the penetrability of a charged particle on a square coulomb barrier.In this study the effect of the centrifugal potential is ignored. The parameters in the formula are constants except for the following parameters:the radius of the parent nucleus,the proton number of the daughter nucleus and the even-odd hindrance factor, ℵ