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Systematic studies on α decay of Po, At, Rn, Fr and Ra using modified generalized liquid drop model

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Abstract

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 \({log}_{10}{T}_{1/2}\) 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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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data included in this manuscript are available upon request by contacting with the corresponding author.]

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Acknowledgements

The author K.P.S would like to thank the Council of Scientific and Industrial Research, Government of India, for the financial support under the scheme “Emeritus Scientist, CSIR”, No. 21(1154)/22/EMR-II dated 20-05-2022.

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Authors and Affiliations

  1. Department of Physics, University of Calicut, Thenhipalam, 673635, Kerala, India

    K. P. Santhosh & V. K. Anjali

  2. School of Pure and Applied Physics, Kannur University, Swami Anandatheertha Campus, Payyanur, 670327, Kerala, India

    K. P. Santhosh

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  1. K. P. Santhosh
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Correspondence to K. P. Santhosh.

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Communicated by Chong Qi.

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Santhosh, K.P., Anjali, V.K. Systematic studies on α decay of Po, At, Rn, Fr and Ra using modified generalized liquid drop model. Eur. Phys. J. A 59, 248 (2023). https://doi.org/10.1140/epja/s10050-023-01164-8

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