6533b85cfe1ef96bd12bd388

RESEARCH PRODUCT

Meson-Baryon Interactions in Unitarized Chiral Perturbation Theory

E. Ruiz ArriolaM. J. Vicente VacasJuan NievesCarmen Garcia-recio

subject

PhysicsChiral perturbation theoryNuclear TheoryMesonUnitarityNuclear TheoryHigh Energy Physics::PhenomenologyFOS: Physical sciencesLambdaBaryonScattering amplitudeNuclear Theory (nucl-th)Riemann hypothesissymbols.namesakeAmplitudesymbolsNuclear ExperimentMathematical physics

description

Meson-Baryon Interactions can be successfully described using both Chiral Symmetry and Unitarity. The $s-$wave meson-baryon scattering amplitude is analyzed in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry in the potential. Two body coupled channel unitarity is exactly preserved. The needed two particle irreducible matrix amplitude is taken from lowest order Chiral Perturbation Theory in a relativistic formalism. Off-shell behavior is parameterized in terms of low energy constants. The relation to the heavy baryon limit is discussed. The position of the complex poles in the second Riemann sheet of the scattering amplitude determine masses and widths baryonic resonances of the N(1535), N(1670), $\Lambda (1405)$ and $\Lambda(1670)$ resonances which compare well with accepted numbers.

https://dx.doi.org/10.48550/arxiv.nucl-th/0211098