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A three-ranged Gogny interaction in touch with pion exchange: promising results to improve infinite matter properties

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Abstract

We suggest a new Gogny-type finite-range effective interaction including a third Gaussian in the central term. Based on simple arguments valid for an arbitrary radial form factor, the three ranges are obtained in connection with physical grounds, relating them to one-boson exchange interactions. Moreover, some parameters of the longest range are fixed through the G-matrix elements of the One Pion Exchange Potential. On top of giving a fairly good description of atomic nuclei properties comparable with other existing parametrisations, the resulting interaction leads to a remarkable improvement of some infinite matter properties that are relevant for astrophysical calculations.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data are contained in the figures and tables.]

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Acknowledgements

The authors would like to thank N. Pillet for useful discussions about the D2 interaction and S. Goriely for discussions about masses.

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Authors and Affiliations

  1. Institute of Astronomy and Astrophysics, Université Libre de Bruxelles, CP 226, Boulevard du Triomphe, 1050, Brussels, Belgium

    L. Batail

  2. Université de Lyon, 69003, Lyon, France

    L. Batail, D. Davesne & P. Becker

  3. Université Lyon 1, 43 Bd. du 11 Novembre 1918, 69622, Villeurbanne cedex, France

    L. Batail, D. Davesne & P. Becker

  4. CNRS-IN2P3, UMR 5822, Institut de Physique des 2 Infinis de Lyon, Lyon, France

    L. Batail, D. Davesne & P. Becker

  5. CEA, DAM, DIF, F-91297, Arpajon, France

    L. Batail & S. Péru

  6. Université Paris-Saclay, CEA, LMCE, 91680, Bruyères-le-Châtel, France

    S. Péru

  7. Department of Physics, University of York, Heslington, York, Y010 5DD, UK

    P. Becker & A. Pastore

  8. CEA, DES, IRESNE, DER, SPRC, 13108, Saint Paul Lez Durance, France

    A. Pastore

  9. IFIC (CSIC-Universidad de Valencia), Apartado Postal 22085, 46071, Valencia, Spain

    J. Navarro

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  1. L. Batail
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Correspondence to A. Pastore.

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Communicated by Denis Lacroix.

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Batail, L., Davesne, D., Péru, S. et al. A three-ranged Gogny interaction in touch with pion exchange: promising results to improve infinite matter properties. Eur. Phys. J. A 59, 173 (2023). https://doi.org/10.1140/epja/s10050-023-01073-w

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