Glueball masses and Regge trajectories for the QCD-inspired potential

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.

Comments: 21 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1107.1671, and with arXiv:hep-ph/0406153, arXiv:0810.4453 by other authors