M_(π) and N_c dependence of resonances form Unitarized Chiral Perturbation Theory

We review our studies on the ρ and σ resonances properties derived from the Inverse Amplitude Method. In particular, we study the leading 1/N_c behavior of the resonances masses and widths and their evolution with changing m_(π). The 1/N_c expansion gives a clear definition of q̅ q states, which is...

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Detalles Bibliográficos
Autores: Rios, G., Hanhart, Christoph, Peláez Sagredo, José Ramón
Tipo de recurso: capítulo de libro
Fecha de publicación:2011
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/45617
Acceso en línea:https://hdl.handle.net/20.500.14352/45617
Access Level:acceso abierto
Palabra clave:51-73
One-loop
Scattering
Amplitude
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:We review our studies on the ρ and σ resonances properties derived from the Inverse Amplitude Method. In particular, we study the leading 1/N_c behavior of the resonances masses and widths and their evolution with changing m_(π). The 1/N_c expansion gives a clear definition of q̅ q states, which is neatly satisfied by the ρ but not by the σ, showing that its dominant component is not q̅q. The m_(π) dependence of the resonance properties is relevant to connect with lattice studies. We show that our predictions compare well with some lattice results and we find that the rho π πcoupling constant is m_π independent, in contrast with the σ π π coupling, that shows a strong m_π dependence.