Exotic Levels from Topology in the Quantum-Chromodynamic Effective Lagrangian

Abstract

Skyrme has shown that the SU ⊗ SU(2) chiral model has nontrivial topological sectors with static solutions for suitable Lagrangians. The baryon number $B$ and strangeness of these sectors have been studied, and the existence of bound states of the nucleon field to the lightest solitons is shown. It is found that there must be long-lived levels with $\mathrm{}\left|B\right|\mathrm{}\gtrsim 6$ and $\mathrm{}\left|s\right|\mathrm{}\gtrsim 6$ and $1.8 \mathrm{GeV}\lesssim m\lesssim 5.6 \mathrm{GeV}$, some having half-integral charge and exotic relation between $B$ and $s$, that can be pair produced in, say, $e^{+}{e}^{-}$ collisions.