Regular Article - Theoretical Physics
Systematics of alpha decay half-lives within the position-dependent mass formalism
High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco
Accepted: 22 July 2021
Published online: 14 August 2021
In this paper, we present a new study about decay process in the framework of the quantum concept, namely: the position dependent mass formalism. Such a study allowed us to obtain a new generalized formula for decay half-lives which enables us to rebuild the majority of the formulas existing in the literature. Moreover, from this generalized formula, we derived two new practical ones. We have tested these two latter on 397 nuclei (). By comparing our obtained results with those from the majority of semi-empirical formulas in the literature, it comes out that one of these two new proposed formulas is the most precise one inasmuch as it presents the lowest r.m.s deviation in respect to the experimental data particularly for even–even nuclei. Based on this new formula, we make predictions for some super-heavy nuclei.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021