{
  "id": "2412.19858",
  "version": "v1",
  "published": "2024-12-25T23:34:52.000Z",
  "updated": "2024-12-25T23:34:52.000Z",
  "title": "Constituent Quark Model and nucleon-Nucleon Potentials",
  "authors": [
    "Th. A. Rijken"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2412.15732",
  "categories": [
    "nucl-th",
    "hep-ph"
  ],
  "abstract": "In these notes, while focusing on the meson-nucleon vertices, we give a derivation of the nucleon-nucleon 9NN) potentials from meson-exchange between quarks. To establish such a relation the quark-quark-meson (QQM) interactions are properly defined. Hitherto, the coefficients in the Pauli-spinor expansion of the meson-nucleon-nucleon (NNM) vertices are equated with those of the QQM-vertices. In these notes we employ the description of the nucleon with Dirac-spinors in the SU(6) semi-relativistic \"constituent\" quark-model (CQM) as formulated by LeYouanc, et al. It appears that the constituent quark model with $m_q= M_N/3$, is able to produce the same ratio's for the central-, spin-spin-, tensor-, spin-orbit-, and quadratic-spin-orbit Pauli-invariants as in the phenomenological NNM-vertices. In order to achieve this, the scalar-, magnetic-vector, and axial-vector interactions require, besides the standard ones, an extra coupling to the quarks without the introduction of new parameters. in the case of the axial-vector mesons an extra coupling to the quarks is necessary, which is related to the quark orbital angular momentum contribution to the nucleon spin. Furthermore, a momentum correlation between the quark that is coupled to the meson and the remaining quark pair, and a (gaussian) QQM form factor, are necessary to avoid \"spurious\" terms. From these results we have obtained a formulation of the QQ-interactions which is directly related to the NN extended-soft-core (ESC) interactions. This has been applied to mixed quark-nuclear matter in a study of (heavy) neutron stars.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-25T23:34:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constituent quark model",
      "nucleon-nucleon potentials",
      "quark orbital angular momentum contribution",
      "qqm form factor",
      "interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}