6533b870fe1ef96bd12cf3c0

RESEARCH PRODUCT

Study of a possible S=+1 dynamically generated baryonic resonance

M. J. Vicente VacasEulogio OsetSourav Sarkar

subject

PhysicsNuclear and High Energy PhysicsOctetMesonNuclear TheoryHigh Energy Physics::PhenomenologyOrder (ring theory)FísicaFOS: Physical sciencesStability (probability)Scattering amplitudeBaryonPseudoscalarNuclear Theory (nucl-th)Quantum mechanicsComplex plane

description

Starting from the lowest order chiral Lagrangian for the interaction of the baryon decuplet with the octet of pseudoscalar mesons we find an attractive interaction in the $\Delta K$ channel with L=0 and I=1, while the interaction is repulsive for I=2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and manifests itself in a large strength of the $\Delta K$ scattering amplitude close to the $\Delta K$ threshold, which is not the case for I=2. However, we also make a study of uncertainties in the model and conclude that the existence of this pole depends sensitively upon the input used and can disappear within reasonable variations of the input parameters. We take advantage to study the stability of the other poles obtained for the ${3/2}^-$ dynamically generated resonances of the model and conclude that they are stable and not contingent to reasonable changes in the input of the theory.

yearjournalcountryeditionlanguage
2005-01-01
https://dx.doi.org/10.48550/arxiv.nucl-th/0404023