The baryon-baryon interaction in the large- Nc limit

大Nc极限下的重子-重子相互作用

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Abstract

We analyze the large- Nc 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- Nc 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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