Cluster radioactivity of actinide nuclei by the emission of Ne, Mg and Si isotopes: A semiempirical analysis of the half-lives

Partial half-lives of exotic radioactive decays of Th, Pa, U, Pu and Cm parent isotopes by the emission of Ne, Mg and Si isotopes are re-evaluated in the framework of a semiempirical, one-parameter model based on the quantum tunneling mechanism through a potential barrier, where the Coulomb, centrifugal and overlapping contributions to the barrier are considered within the spherical nucleus approximation. Updated values of nuclear mass and radius of the participating nuclides caused measured half-life data to be reproduced with better reliability. The calculation model can be applied to other heavy-cluster decay cases of heavy and superheavy nuclei. It is found a quite linear correlation of decimal log of half-life with the area between the potential barrier curve and the Q-value for decay along the total barrier region.