Glueball masses and Regge trajectories for the QCD-inspired potential

TL;DR

This paper calculates glueball masses and Regge trajectories using a QCD-inspired potential and quasi-classical methods, revealing properties of the Pomeron and its relation to glueball states.

Contribution

It introduces a novel approach to compute glueball spectra and Regge trajectories using a relativistic quasi-classical wave equation with a scalar potential.

Findings

Glueball masses computed with a universal mass formula.

Regge trajectories are complex and non-linear, matching the properties of the Pomeron.

Imaginary part of the Pomeron trajectory is also determined.

Abstract

Bound state of two massive constituent gluons is studied in the potential approach. Relativistic quasi-classical wave equation with the QCD-inspired scalar potential is solved by the quasi-classical method in the complex plane. Glueball masses are calculated with the help of the universal mass formula. The hadron Regge trajectories are given by the complex non-linear function in the whole region of the invariant variable $t$. The Chew-Frautschi plot of the leading glueball trajectory, $\alpha_P(t)$, has the properties of the t-channel Pomeron, which is dual to the glueball states in the s channel. The imaginary part of the Pomeron is also calculated.