English

The Baryon-Baryon Interaction in the Large-$N_c$ Limit

High Energy Physics - Phenomenology 2025-06-18 v2 High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory

Abstract

We analyze the large-NcN_c structure of the baryon-baryon potential derived in the framework of SU(3) chiral perturbation theory up to next-to-leading order including contact interactions as well as one-meson and two-meson exchange diagrams. Moreover, we assess the impact of SU(3) symmetry breaking from a large-NcN_c perspective and show that the leading order results can successfully be applied to the hyperon-nucleon potential. Our results include a reduction of the number of relevant low-energy constants of the leading order contact interaction from fifteen to three, and we show that consistency is preserved if the F/DF/D ratio is given by 2/32/3 and the C/DC/D ratio for the baryon decuplet-to-octet coupling is given by 2.

Keywords

Cite

@article{arxiv.2412.13677,
  title  = {The Baryon-Baryon Interaction in the Large-$N_c$ Limit},
  author = {Thomas Vonk and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:2412.13677},
  year   = {2025}
}

Comments

18 pages, 4 figures, corresponds to the published version, more explanations, one extra appendix, typos corrected