Relativistic quark model and lowest hybrid mesons

Abstract

Relativistic four-quark equations are found in the framework of the dispersion relation technique. Solutions of these equations using a method based on the extraction of the leading singularities of the amplitudes are obtained. The mass spectrum of the lowest hybrid mesons with an isospin $I=1,$ both exotic quantum numbers (non-$q\overline{q})$ ${J}^{\mathrm{PC}}{=1}^{\ensuremath{-}+}{,0}^{\ensuremath{-}\ensuremath{-}},$ and ordinary quantum numbers ${J}^{\mathrm{PC}}{=0}^{++}{,1}^{++}{,2}^{++}{,0}^{\ensuremath{-}+}{,1}^{\ensuremath{-}\ensuremath{-}},$ are calculated.