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Systematics of alpha decay half-lives within the position-dependent mass formalism

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Abstract

In this paper, we present a new study about \(\alpha \) 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 \(\alpha \) 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 (\(52<Z<118\)). 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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All final data obtained in this study are contained in this published article.]

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Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco

    A. El Batoul, I. Moumene & M. Oulne

Authors
  1. A. El Batoul
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  2. I. Moumene
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  3. M. Oulne
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Corresponding author

Correspondence to I. Moumene.

Additional information

Communicated by Chong Qi.

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El Batoul, A., Moumene, I. & Oulne, M. Systematics of alpha decay half-lives within the position-dependent mass formalism. Eur. Phys. J. A 57, 254 (2021). https://doi.org/10.1140/epja/s10050-021-00561-1

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