Gluonium states and the Pomeron trajectory

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 ${\alpha }_P(t)$.

Comments: 15 pages, 1 fig