Meson-Baryon Systems and Their Resonances

Abstract

Meson-baryon systems of angular momentum $L$ are analyzed by considering the relevant crossing matrices. The resultant "bootstrap" calculations yield the correct quantum numbers for the observed array of particles and resonances. Specifically it is found that ${Y_1}^{*}\mathrm{}\left(1385\right)\mathrm{}$ decays into ($\pi \Lambda$) but not ($\pi \Sigma$). Furthermore, a ${Y_1}^{*}$ resonance in ($\frac{5}{2}-$) is predicted which may accommodate the recently discovered ${Y_1}^{*}\mathrm{}\left(1765\right)\mathrm{}$.