https://doi.org/10.1140/epja/s10050-023-01164-8
Regular Article - Theoretical Physics
Systematic studies on α decay of Po, At, Rn, Fr and Ra using modified generalized liquid drop model
1
Department of Physics, University of Calicut, 673635, Thenhipalam, Kerala, India
2
School of Pure and Applied Physics, Kannur University, Swami Anandatheertha Campus, 670327, Payyanur, Kerala, India
Received:
16
September
2023
Accepted:
11
October
2023
Published online:
30
October
2023
The α decay half-lives of 186−224Po, 190−228At, 193−229Rn, 197−230Fr, and 201−233Ra have been systematically studied using the Modified Generalized Liquid Drop Model (MGLDM). The predicted values are in agreement with experimental data and with the values computed using other empirical formulae. The standard deviation of 
obtained for MGLDM is 0.388 which suggests that the present formalism can effectively be used for alpha decay studies of heavy nuclei. The role of neutron shell closure at N = 126 in alpha decay is evident from our study. The Geiger-Nuttall law, new Geiger-Nuttall law, Brown law, and Universal law are studied. The linear nature of these laws reveal the reliability of MGLDM and is also helpful in calculating half-lives of newly synthesized and unknown isotopes.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
