Regge trajectories of ordinary and non-ordinary mesons from their scattering poles.

Our results on obtaining the Regge trajectory of a resonance from its pole in a scattering process and from analytic constraints in the complex angular momentum plane are presented. The method, suited for resonances that dominate an elastic scattering amplitude, has been applied to the ρ(770), ƒ_2(1...

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Detalles Bibliográficos
Autores: Nebreda Manjón, Jenifer, Carrasco, J. A., Londergan, J. T., Peláez Sagredo, José Ramón, Szczepaniak, Adam P.
Tipo de recurso: capítulo de libro
Fecha de publicación:2016
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24870
Acceso en línea:https://hdl.handle.net/20.500.14352/24870
Access Level:acceso abierto
Palabra clave:51-73
Regge Theory
Light scalar mesons.
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:Our results on obtaining the Regge trajectory of a resonance from its pole in a scattering process and from analytic constraints in the complex angular momentum plane are presented. The method, suited for resonances that dominate an elastic scattering amplitude, has been applied to the ρ(770), ƒ_2(1270), ƒ_2(1525) and ƒ_0(500) resonances. Whereas for the first three we obtain linear Regge trajectories, characteristic of ordinary quark-antiquark states, for the latter we find a non-linear trajectory with a much smaller slope at the resonance mass. We also show that if a linear trajectory with a slope of typical size is imposed for the ƒ_0(500), the corresponding amplitude is at odds with the data. This provides a strong indication of the non-ordinary nature of the sigma meson.