Pocket formula for alpha decay energies and half-lives of actinide nuclei

Abstract

Abstract It is important to construct the correct formula for alpha decay half-lives. The present work verifies the validity of Geiger–Nuttall law (GNL) for actinides and hence presenting the simple empirical formula for alpha decay energies and halflives for actinides based on the available experimental results. We have studied the variation of logarithmic halflives with Z d n Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ for different values of n (0.2–1). The variation of logarithmic halflives with Z d n Q − 1 / 2 ${Z}_{d}^{n}{Q}^{-1/2}$ is found to be linear for which n = 0.6. The values produced by the present formula compared with that of experiments. The present formulae successfully produces the alpha decay half-lives and Q-value in the actinide region. This formula is specially for actinide parent nuclei only.