6533b826fe1ef96bd1283f0e

RESEARCH PRODUCT

Two pion decay of the Roper resonance

M. J. Vicente VacasEulogio OsetE. Hernández

subject

PhysicsNuclear and High Energy PhysicsRoper resonanceParticle physicsChiral perturbation theoryNuclear TheoryUnitarityMesonHigh Energy Physics::LatticeNuclear TheoryFOS: Physical sciencesFísicaSigmaLippmann–Schwinger equationNuclear Theory (nucl-th)PionHigh Energy Physics::ExperimentNuclear ExperimentPhenomenology (particle physics)

description

We evaluate the two pion decay of the Roper resonance in a model where explicit re-scattering of the two final pions is accounted for by the use of unitarized chiral perturbation theory. Our model does not include an explicit $\epsilon$ or $\sigma$ scalar-isoscalar meson decay mode, instead it generates it dynamically by means of the pion re-scattering. The two ways, explicit or dynamically generated, of introducing this decay channel have very different amplitudes. Nevertheless, through interference with the other terms of the model we are able to reproduce the same phenomenology as models with explicit consideration of the $\epsilon$ meson.

https://doi.org/10.1103/physrevc.66.065201