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On Relation between Bulk, Surface and Curvature Parts of Nuclear Binding Energy within the Model of Hexagonal Clusters

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

Using the model of hexagonal clusters we express the surface, curvature and Gauss curvature coefficients of the nuclear binding energy in terms of its bulk coefficient. Using the derived values of these coefficients and a single fitting parameter we are able to reasonably well describe the experimental binding energies of symmetric nuclei with more than 100 nucleons. To improve the description of lighter nuclei we introduce the same correction for all the coefficients. In this way we determine the apparent values of the surface, curvature and Gauss curvature coefficients which may be used for infinite nuclear matter equation of state. This simple model allows us to fix the temperature dependence of all these coefficients, if the temperature dependence for the bulk term is known. The found estimates for critical temperature are well consistent both with experimental and with theoretical findings.

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ACKNOWLEDGMENTS

The authors are thankful to O.M. Gorbachenko, B.E. Grinyuk, V.Yu. Denisov, A.P. Kobushkin, I.N. Mishustin and L.M. Satarov for fruitful discussions and valuable comments. K.A.B. is grateful to the COST Action CA15213 “THOR” for supporting his networking. Also K.A.B. is grateful for a warm hospitality to the colleagues from the university of Oslo, where this work was completed.

Funding

V.V.S. thanks the Fundaç ao para a Ciência e Tecnologia (FCT), Portugal, for the financial support through the grant no. UID/FIS/04564/2019. The work of V.V.S., K.A.B., O.I.I. was supported in part by the Program of Fundamental Research of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine (project no. 0117U000240). The work of O.I.I. was done within the project SA083P17 of Universidad de Salamanca launched by the Regional Government of Castilla y Leon and the European Regional Development Fund.

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Authors and Affiliations

  1. CFisUC, Department of Physics, University of Coimbra, 3004-516, Coimbra, Portugal

    V. V. Sagun

  2. Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 03680, Kyiv, Ukraine

    V. V. Sagun, K. A. Bugaev & O. I. Ivanytskyi

  3. Department of Physics, Taras Shevchenko National University of Kyiv, 03022, Kyiv, Ukraine

    K. A. Bugaev

  4. Department of Fundamental Physics, University of Salamanca, 37008, Plaza de la Merced s/n, Spain

    O. I. Ivanytskyi

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  1. V. V. Sagun
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  2. K. A. Bugaev
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  3. O. I. Ivanytskyi
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Correspondence to K. A. Bugaev.

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Sagun, V.V., Bugaev, K.A. & Ivanytskyi, O.I. On Relation between Bulk, Surface and Curvature Parts of Nuclear Binding Energy within the Model of Hexagonal Clusters. Phys. Part. Nuclei Lett. 16, 671–680 (2019). https://doi.org/10.1134/S1547477119060517

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  • DOI: https://doi.org/10.1134/S1547477119060517

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