6533b82efe1ef96bd12929ec

RESEARCH PRODUCT

SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian

Juan Luis NievesLorenzo Luis SalcedoCarmen Garcia-recio

subject

PhysicsNuclear and High Energy PhysicsParticle physicsHyperchargeMesonIsoscalarNuclear TheoryHigh Energy Physics::PhenomenologyFOS: Physical sciencesFísicaStrangenessBaryonParticle decayHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)SU(6)High Energy Physics::ExperimentVector mesonNuclear Experiment

description

A consistent SU(6) extension of the Weinberg-Tomozawa meson-baryon chiral Lagrangian is constructed which incorporates vector meson and baryon decuplet degrees of freedom. The corresponding Bethe-Salpeter approximation predicts the existence of an isoscalar spin-parity ${3/2}^-$ $K^*N$ bound state (strangeness +1) with a mass around 1.7--1.8$ $GeV. It is the highest hypercharge state of an antidecuplet SU(3) representation and it is unstable through $K^*$ decay. The estimated width of this state (neglecting d-wave $KN$ decay) turns out to be small ($\Gamma \le 15 $MeV). Clear signals of this resonance would be found in reactions like $\gamma p \to {\bar K}^0 p K^+ \pi^-$ by looking at the three body $p K^+ \pi^-$ invariant mass.

10.1103/physrevd.74.034025http://arxiv.org/abs/hep-ph/0505233