Unitarized pion-nucleon scattering within heavy baryon chiral perturbation theory

By means of the inverse amplitude method we unitarize the elastic pion-nucleon scattering amplitudes obtained from heavy baryon chiral perturbation theory to O(q(3)). Within this approach we can enlarge their applicability range and generate the Delta(1232) resonance. We can find a reasonable descri...

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Detalles Bibliográficos
Autores: Gómez Nicola, Ángel, Peláez Sagredo, José Ramón
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59581
Acceso en línea:https://hdl.handle.net/20.500.14352/59581
Access Level:acceso abierto
Palabra clave:51-73
Meson interactions
One-loop
Lagrangians
Amplitude
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:By means of the inverse amplitude method we unitarize the elastic pion-nucleon scattering amplitudes obtained from heavy baryon chiral perturbation theory to O(q(3)). Within this approach we can enlarge their applicability range and generate the Delta(1232) resonance. We can find a reasonable description of the pion nucleon phase shifts with O(q(2)) parameters in agreement with the resonance saturation hypothesis. However, the uncertainties in the analysis of the low energy data as well as the large number of chiral parameters, which can have strong correlations, allow us to obtain very good fits with rather different sets of chiral constants.