Covariant Soliton Dynamics: Theory of P-Wave Solitons.

We have carried out a covariant analysis of a nontopological soliton model for the structure of p-wave solitons. This model has been used previously to provide a covariant description of the nucleon, the rho , omega and phi mesons and various vector and pseudoscalar states of the charmonium and the b-quarkonium systems. The parameters of the model were fixed by those studies; therefore for the study of p-wave solitons we have no free parameters. The calculated masses we obtain are in good agreement with the experiment. (Since we have no confinement mechanism in our model, we are restricted to states below the continuum.). Another aim of this study is to investigate the wave functions of this model for various soliton states. To this end we have developed covariant schemes to calculate the leptonic widths of vector mesons and the radiative transition rates in the heavy quarkonia. Our calculation of leptonic widths yields a generalization of the Van Royen -Weisskopf formula. The results of these calculations are presented. It is observed that, in the context of this model, "one-gluon exchange" corrections to the wave functions are important. The formalism for covariant calculation of radiative transition rates is presented. It is a generalization of the usual nonrelativistic calculation and it automatically has all the relativistic corrections incorporated in it. We have remarked that one-gluon exchange corrections to wave functions are important. We have as yet not included such corrections in our theory of p-wave solitions and hence calculations based on this formalism have not been reported. This work is in progress.