Mesons a in Collinear QCD Model

Abstract

A phenomenological model for the quark structure of mesons is considered. The model is based on the tube model for QCD, where all quanta with nonzero transverse momenta are neglected. In the limit that the mass term of the gluons goes to infinity, the model is equivalent to a combination of the 't Hooft and Gross-Neveu models and can be solved semi-analytically. The model has the properties of confinement, chiral symmetry breaking and asymptotic freedom and thus resembles QCD in three key respects. Spectra, distribution amplitudes and form factors of mesons are analyzed.

Comments: final version, to appear in PRD