Analytical study for α – decay half lives for Rn isotopes within Gamow – Like Mode

Abstract

The study involved the determination of the half – lives Logarithm for alpha decay of Rn isotopes in the range 197  within Gamow – Like model (GLM) which is based on Gamow theory.this model is based upon the formation of an alpha particle in the parent nucleus before its tunneling decay .In addition,a simple modification process is done on the nucleus radius . in which it was found that the nucleus radius will change the decay constant value which will greatly affect the nucleus half-life logarithm as well as its effect on the inverse proportion between the nucleus radius and the potential barrier rise .The half -life logarithm for the nuclei being studied was determined , through several common models that belong to another studies,such as Royer formula ,Universal Decay Low ,Viola-Seaborg formula and finally with Denisov & Khudenko formula.The comparison process depending on statistical procedures that we undertook as in the calculation of root mean square deviation (rmsd ) as well as the standard deviation (σ).We compared the results with another theoretical models ,the results was achieved agood agreement.results showed that the half-life logarithm increases with the increase in neutrons numbers (N) for all nuclei except those that contain magic numbers in their atomic numbers (Z) or neutron numbers (N) or both .