Pomeron/glueball and odderon/oddball trajectories

TL;DR

This paper proposes new analytic forms for pomeron and odderon trajectories, fitting them to scattering data to predict masses and widths of glueball and oddball resonances, with applications to central exclusive diffraction processes.

Contribution

It introduces a simple, analyticity- and unitarity-compliant model for pomeron and odderon trajectories and uses it to predict resonance properties.

Findings

Fitted trajectories accurately match high-energy scattering data.

Predicted masses and widths of glueballs and oddballs.

Trajectories can be applied to calculate central exclusive diffraction processes.

Abstract

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).