https://doi.org/10.1140/epja/s10050-024-01358-8
Regular Article - Theoretical Physics
Hartree-Fock Lagrangians with a Nambu–Jona–Lasino scalar potential
1
Université Lyon, Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, 69622, Villeurbanne, France
2
Institut de Physique des 2 infinis de Lyon, CNRS/IN2P3, Université de Lyon, Université Claude Bernard Lyon 1, 69622, Villeurbanne Cedex, France
3
International Research Laboratory on Nuclear Physics and Astrophysics, Michigan State University and CNRS, 48824, East Lansing, MI, USA
Received:
22
January
2024
Accepted:
4
June
2024
Published online:
25
June
2024
We study a relativistic Hartree–Fock Lagrangian model which considers confinement, chiral symmetry breaking, nucleon form factor and short range correlations. The chiral potential originally based on the linear sigma model is compared to an improved potential generated by the Nambu–Jona–Lasino (NJL) model for quark interaction. Our model is also anchored in fundamental hadronic properties predicted by Lattice-QCD calculations and a few nuclear empirical properties. We explore in a Bayesian approach the role of the saturation density, the energy per particle and the incompressibility modulus for the model selection. We find that most of our models could not reproduce these empirical quantities, unless a phenomenological “missing” energy is added. The properties of this “missing” energy are therefore inferred from our Bayesian analysis and we obtain that it shall be attractive. Finally we analyse the origin of the break down density in relativistic approaches and we relate it to the properties of the scalar potential.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
