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An alternative approach to baryon masses in the 1/Nc expansion of QCD

2024/03/22 by Rubén Flores-Mendieta, Flores-Mendieta, Ruben, Sergio Alejandro García-Monreal +5 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2403.15354

openalex publication_date 2024/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The baryon mass operator is studied within a combined expansion in 1/Nc and perturbative SU(3) flavor symmetry breaking, where Nc denotes the number of quark charges. Flavor projection operators are used to classify the baryon operators involved in the expansion, which fall into the flavor representations 1, 8, 10+10, 27, 35+35 and 64. This approach allows one to incorporate up to third-order flavor symmetry breaking in the baryon mass operator in a rigorous and systematic way. Previous work on the subject is considered to validate the approach. A fit to data is performed to evaluate the free parameters in the theory and to produce some numerical values of baryon masses. Results are consistent and reaffirm the striking success of the 1/Nc expansion.

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