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Constraints on the in-medium nuclear interaction from chiral symmetry and lattice-QCD

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Abstract

In this paper we discuss the combined effects on nuclear matter properties of the quark confinement mechanism in nucleon and of the chiral effective potential resulting from the spontaneous breaking of the chiral symmetry in nuclear matter. One specific aim is to show that the replacement of a basic chiral potential (linear sigma model type) by the enriched Nambu–Jona-Lasinio (NJL) model potential is able to reproduce the saturation properties while strongly decreasing the tension with QCD properties. Based on this NJL prediction, it is shown that the chiral potential acquires a specific scalar field cubic dependence, which contributes to the three-body interaction. We also discuss the constraints induced by Lattice-QCD on the model parameters governing the saturation properties. We introduce the term “QCD-connected parameters” for these quantities. We demonstrate that chiral symmetry and Lattice-QCD provide coherent constraints on the in-medium nuclear interaction, suggesting a fundamental origin of the saturation mechanism.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This manuscript has no associated data since the data shown in the two figures can be obtained from our formalism.]

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Authors and Affiliations

  1. Univ Lyon, Univ Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, 69622, Villeurbanne, France

    G. Chanfray, H. Hansen & J. Margueron

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  1. G. Chanfray
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  2. H. Hansen
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  3. J. Margueron
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Correspondence to J. Margueron.

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Communicated by Laura Tolos.

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Chanfray, G., Hansen, H. & Margueron, J. Constraints on the in-medium nuclear interaction from chiral symmetry and lattice-QCD. Eur. Phys. J. A 59, 264 (2023). https://doi.org/10.1140/epja/s10050-023-01179-1

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