The Baryon-Baryon Interaction in the Large-$N_c$ Limit
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911008033865728 |
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| author | Vonk, Thomas Meißner, Ulf-G. |
| author_facet | Vonk, Thomas Meißner, Ulf-G. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_13677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Baryon-Baryon Interaction in the Large-$N_c$ Limit Vonk, Thomas Meißner, Ulf-G. High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory 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. |
| title | The Baryon-Baryon Interaction in the Large-$N_c$ Limit |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2412.13677 |