<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>-decay half-lives of lead isotopes within a modified generalized liquid drop model

Abstract

Theoretical half-lives of $\ensuremath{\alpha}$ decay for lead (Pb) isotopes $(Z=82)$ in the range $178\ensuremath{\le}A\ensuremath{\le}220$ systematically have been investigated within the modified generalized liquid drop model (MGLDM). Akrawy, Royer, AKRE, and Modified RenB formulas are used to evaluate $\ensuremath{\alpha}$-decay half-lives. The experimental $Q$ values are used. The results are compared with the experimental data and with Coulomb and proximity potential model. The standard deviations are evaluated; the results indicate that the MGLDM and Akrawy are the best model and formula for evaluating $\ensuremath{\alpha}$ decay for Pb isotopes.