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arXiv · 2412.13677

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

Thomas Vonk·Ulf-G. Meißner
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Abstract

We analyze the large-$N_c$ 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-$N_c$ 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 $F/D$ ratio is given by $2/3$ and the $C/D$ ratio for the baryon decuplet-to-octet coupling is given by 2.

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Thomas Vonk, Ulf-G. Meißner. 2024-12-18. The Baryon-Baryon Interaction in the Large-$N_c$ Limit. https://doi.org/10.1140/epja/s10050-025-01602-9

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