Influence of the Pauli exclusion principle on heavy-cluster radioactivity

Abstract

The effects of the Pauli exclusion principle are investigated regarding the calculations of the nuclear cluster radioactivity using the double-folding formalism. To this purpose, the variation in the internal kinetic energy is considered at the overlapping regions between the densities of the two interacting nuclei as a modification term by employing the extended Thomas-Fermi approach. The effects of the Pauli exclusion principle on the internal energy of the dinuclear system and the standard deviation of the calculated half-lives from their corresponding experimental data are discussed. The results reveal that considering such corrections in calculating the double-folding potential leads to lower standard deviations, which are more consistent with experimental data than other semiempirical formulas.