abstract

• The baryon-meson scattering amplitude is computed at tree level within the 1/Nc expansion of QCD, where Nc is the number of color charges. The most general expression is obtained by accounting for explicitly the effects of the decuplet-octet baryon mass difference. Although the resultant expression is general enough that it can be applied to any incoming and outgoing baryons and mesons, provided that the Gell-Mann–Nishijima scheme is respected, results for nucleon-pion scattering processes are explicitly dealt with. With these, some isospin relations are verified to be valid at the physical value Nc = 3. Corrections due to SU(3) flavor symmetry breaking are only sketched so they are left for future work. The three-level expressions obtained here represent a first effort toward understanding scattering processes in the context of the 1/Nc expansion.

authors

• Flores Mendieta Rubén
• Hernández J.

publication date

• 2023-01-01

published in

• Arxiv  Journal

keywords

Digital Object Identifier (DOI)

• 10.48550/arXiv.2305.00879

PubMed ID

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