Gluons for all bags

The soliton bag model of interacting quarks and gluons, introduced by Friedberg and Lee, provides a framework for dynamical calculations of hadrons and hadronic processes. The model contains five parameters which must be fit to data in order to test the consistency of the model and to allow prediction. A considerable number of calculations have been reported involving only quarks and the scalar soliton field; these involve only four of the five parameters. Coupling of the gluons introduces the fifth parameter, the strong coupling constant. In the present paper, we calculate explicit gluon effects to lowest order in the strong coupling constant. The resulting color gauge field equations are thus linear, quite analogous to QED. The five parameters can now be determined. Comparisons are made with key experimental data and phenomenology. Consideration is also given to lattice gauge theory (LGT) calculations, but these are, at present, not sufficiently reliable to be considered as fixed points for the model. We describe below the level of the calculations, the fits to the data with the current parameter set of choice, and finally indicate what we consider to be the next level of improvement in the calculations and problems to be addressed in the future. 13 references