The Baryon-Baryon Interaction in the Large-N_c Limit

2024/12/18 by Vonk, Thomas, Meißner, Ulf-G.
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2412.13677

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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