Simple parametrization of $α$-decay spectroscopic factor in $150\le A\le200$ region

Half life values for $α$-decay in the mass region $A=150-200$ have been calculated in the Microscopic Super Asymmetric Fission Model. The interaction between the $α$-particle and the daughter nucleus has been obtained in the double folding model with the microscopic interaction DDM3Y1. Theoretical densities for the nuclei involved have been calculated in Relativistic Mean Field approach with the Lagrangian density FSU Gold. Spectroscopic factors for $α$-decay, calculated as the ratios of the theoretically calculated and experimentally measured half life values, show a simple dependence on the mass number and the product of the number of valence protons and neutrons. The implications of the parameterization have been discussed. Finally, based on this simple relation, $α$-decay half life values in a number of nuclei have been predicted.

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