2009/06/04 by Dan Pirjol, Pirjol, Dan, Carlos Schat +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.0906.0802
Talk given at the International Workshop on Effective Field Theories: from the Pion to the Upsilon, EFT09, 1-6 February 2009, Valencia
arxiv created 2009/06/04 · openalex publication_date 2009/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the application of the permutation group SN to a few problems in hadron physics. A method is proposed for matching a quark model Hamiltonian onto the effective Hamiltonian of the 1/Nc expansion, which makes use of the transformation properties of the states and operators under SN. This method is used to obtain information about the spin-flavor structure of the quark interaction Hamiltonian from the spectrum of the negative parity L=1 excited baryons. Assuming the most general 2-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles, and can be used to test for the presence of 3-body quark interactions. We find that the pure gluon-exchange model is disfavored by data, independently of any assumptions about the hadronic wave functions.