  The relativistic five-quark equations are found in the framework of the
dispersion relation technique. The behavior of the low-energy five-particle
amplitude is determined by its leading singularities in the pair invariant
masses. The solutions of these equations using the method based on the
extraction leading singularities of the amplitudes are obtained. The mass
spectra of nucleon and delta-isobar hybrid baryons are calculated. The
calculations of hybrid baryon amplitudes estimate the contributions of four
subamplitudes. The main contributions to the hybrid baryon amplitude are
determined by the subamplitudes, which include the excited gluon states.
