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Cluster decay dynamics of actinides yielding non-Pb-daughter within relativistic mean field formalism

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Abstract

The cluster dynamics of radioactive nuclei decaying to neighbouring daughter nuclei of the double magic \(^{132}\)Sn and \(^{208}\)Pb is investigated using the relativistic mean-field (RMF) approach with NL3\(^*\) parameter set within the preformed cluster-decay model (PCM). The novel feature of the present study is the application of the newly derived preformation formula, laying the groundwork for accessing the break-up of the Q-value: preformation energy, cluster emission energy and the recoil energy of the daughters formed. The energy associated with cluster preformation is theoretically quantified for the first time. This treatment underscores the shell effect, pairing correlation, and blocking of particular orbitals by unpaired nucleons. To ascertain the applicability of the new formula, PCM-based calculations are carried out with nuclear potential obtained using the phenomenological M3Y and microscopic RMF-based R3Y nucleon-nucleon (NN) potentials along with the corresponding densities. We observed a slight discrepancy attributable to differences in their barrier properties. Nonetheless, predictions using both M3Y and R3Y potentials align well with experimental half-lives. While none of the reaction systems resulted in a double magic daughter nucleus, we observed that the kinematics of cluster emissions are influenced by their proximity to shell closures. Analyzing the systematic recoil energy in cluster decays offers valuable insights for synthesizing elements in superheavy mass regions in the future.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Author’s comment: This manuscript has no associated data.]

Code Availability Statement

This manuscript has no associated code/software. [Author’s comment: All information necessary to reproduce the results described herein is contained in the material presented above.]

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Acknowledgements

This work was supported by FRGS grant: FRGS/1/2019/STG02/UNIMAP/02/2, FOSTECT Project Code: FOSTECT.2019B.04, FAPESP Project Nos. 2017/05660-0, and Science Engineering Research Board (SERB), File No. CRG/2021/001229.

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Authors and Affiliations

  1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, Arau, 02600, Perlis, Malaysia

    Joshua T. Majekodunmi & K. Anwar

  2. Center for Theoretical and Computational Physics, Department of Physics, Faculty of Science, Universiti Malaya, Kuala Lumpur, 50603, Malaysia

    M. Bhuyan

  3. Department of Physics, Mata Gujri College, Fatehgarh, Punjab, 140407, India

    Deepika Jain

  4. Department of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala, Punjab, 147004, India

    Raj Kumar

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  1. Joshua T. Majekodunmi
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Correspondence to M. Bhuyan.

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Communicated by Chong Qi.

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Majekodunmi, J.T., Bhuyan, M., Anwar, K. et al. Cluster decay dynamics of actinides yielding non-Pb-daughter within relativistic mean field formalism. Eur. Phys. J. A 60, 101 (2024). https://doi.org/10.1140/epja/s10050-024-01324-4

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