Gluonium states and the Pomeron trajectory

TL;DR

This paper models the Pomeron as a bound state of two massive gluons using a relativistic wave equation with Cornell potential, deriving a gluonium mass formula and Pomeron trajectory consistent with experimental data.

Contribution

It introduces a novel relativistic wave equation approach to model gluonium states and derive the Pomeron trajectory across different regions.

Findings

The Pomeron trajectory is linear at large positive t.

The trajectory flattens at -1 at large negative t.

Parameters fitted from recent HERA data match the model.

Abstract

Pomeron is modeled as a system of two interacting by the Cornell potential massive gluons. In bound state region, a relativistic wave equation for the potential is analized. Two exact asymptotic solutions of the equation are used to derive an interpolating mass formula for gluonium states and the Pomeron trajectory in the whole region. The trajectory obtained is linear at large timelike $t$ and flattens off at -1 in the scattering region at large $-t$. Parameters of the trajectory are found from the fit of recent HERA data for $\alpha_P(t)$.