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Mic–Mac model based on the Wigner–Kirkwood method

  • Regular Article - Theoretical Physics
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Abstract

About a decade ago we proposed a new Microscopic–Macroscopic (Mic–Mac) model where the semiclassical Wigner–Kirkwood expansion of the energy up to fourth-order in \(\hbar \) is used to compute the shell corrections in a deformed Woods-Saxon potential instead of the usual Strutinsky averaging scheme [1, 2]. For a set of 551 even-even nuclei computed with this new model, we found a rms deviation of 610 keV from the experimental masses, similar to the value obtained using the well-known Finite Range Droplet Model and the Lublin–Strasbourg Drop Model for the same set of nuclei. In a next step, we compute the ground-state properties of these 551 nuclei with the same method but using the mean-field provided by the Gogny forces within an Extended Thomas-Fermi approximation. We find that this Mic–Mac model using the Gogny D1S (D1M) force gives a fairly good description of the ground-state energies with a rms deviation of 834 keV (819 keV). This implies that Mic–Mac models based on effective two-body forces, for example Gogny D1S and D1M interactions, perform practically as well as the most efficient Mic–Mac models regarding ground-state properties.

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Data Availibility Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data described in this manuscript is available from Ameeya A. Bhagwat on request.]

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Acknowledgements

M. C. and X. V. acknowledge partial support from Grants No. PID2020-118758GB-I00 and No. CEX2019–000918-M (through the “Unit of Excellence María de Maeztu 2020-2023” award to ICCUB) from the Spanish MCIN/AEI/10.13039/501100011033.

Author information

Authors and Affiliations

  1. UM-DAE Centre for Excellence in Basic Sciences, Mumbai, 400 098, India

    A. Bhagwat

  2. Departament de Física Quàntica i Astrofísica (FQA), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain

    M. Centelles & X. Viñas

  3. Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain

    M. Centelles & X. Viñas

  4. Institut Menorquí d’Estudis, Camí des Castell 28, 07702, Maó, Spain

    X. Viñas

  5. Department of Nuclear Physics, KTH (Royal Institute of Technology), Alba Nova University Center, 10691, Stockholm, Sweden

    R. Wyss

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  1. A. Bhagwat
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Correspondence to A. Bhagwat.

Additional information

Communicated by David Blaschke.

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Bhagwat, A., Centelles, M., Viñas, X. et al. Mic–Mac model based on the Wigner–Kirkwood method. Eur. Phys. J. A 59, 299 (2023). https://doi.org/10.1140/epja/s10050-023-01209-y

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