  We predict glueball/oddball resonances lying on the pomeron/odderon
trajectories. A simple new form of the trajectories, with threshold and
asymptotic behaviour required by analyticity and unitarity, is proposed. The
parameters of these (pomeron and odderon) trajectories are fitted to the data
on high-energy elastic proton-proton scattering. The fitted trajectories are
extrapolated to the resonance region to predict masses and widths of glueballs
and oddballs. The (pomeron and odderon) trajectories may be used to calculate
processes of central exclusive diffraction (CED).
