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Nuclear shape evolution and shape coexistence in Zr and Mo isotopes

  • Regular Article – Theoretical Physics
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Abstract

The phenomena of shape evolution and shape coexistence in even–even \(^{88-114}\)Zr and \(^{90-116}\)Mo isotopes are studied by employing covariant density functional theory (CDFT) with density-dependent point-coupling parameter set, DD-PCX, and with separable pairing interaction. The results for the rms deviation in binding energies, two-neutron separation energy, the differential variation of two-neutron separation energy, and rms charge radii, as a function of neutron number, are presented and compared with available experimental data. In addition to the oblate–prolate shape coexistence in \(^{96-110}\)Zr isotopes, the correlations between shape transition and discontinuity in the observables are also examined. A smooth trend of charge radii in Mo isotopes is found to be due to the manifestation of triaxiality softness. The observed oblate and prolate minima are related to the low single-particle energy level density around the Fermi level of neutron and proton, respectively. The rapid shape transition in Zr isotopes near N \(\approx \) 60 is identified to be caused by the evolution of the shell structure associated with massive proton excitations to 1\(\pi g_{9/2}\) orbit. The present calculations also predict a deformed semi-bubble structure in the \(^{100}\)Zr isotope.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Some of the data are given in the Tables of this article. However, all the data are available upon request by contacting the corresponding author.]

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Acknowledgements

The authors would like to thank Himachal Pradesh University for providing computational facilities. One of the authors, Mr. Pankaj Kumar, also thank Council of Scientific and Industrial Research (CSIR), New Delhi for providing financial assistance Senior Research Fellowship vide reference no. 09/237(0165)/2018-EMR-I.

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Authors and Affiliations

  1. Department of Physics, Himachal Pradesh University, Summerhill, Shimla, 171005, India

    Pankaj Kumar, Virender Thakur, Smriti Thakur, Vikesh Kumar & Shashi K. Dhiman

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  1. Pankaj Kumar
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  2. Virender Thakur
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  3. Smriti Thakur
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  4. Vikesh Kumar
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  5. Shashi K. Dhiman
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Correspondence to Pankaj Kumar.

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Communicated by Michael Bender

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Kumar, P., Thakur, V., Thakur, S. et al. Nuclear shape evolution and shape coexistence in Zr and Mo isotopes. Eur. Phys. J. A 57, 36 (2021). https://doi.org/10.1140/epja/s10050-021-00346-6

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