Equations of the hybrid chiral bag with covariant treatment of the center-of-mass motion

The covariant generalization of Bogoliubov's collective coordinate method, which takes exactly into account the CMS motion of the bag, is considered within the framework of hybrid chiral quark bag models. The analytical relations between the fields, which follow from the effective finite-difference structure of the model by imposing the boundary conditions, are studied in detail as well as the connection between dynamics of quark and pion degrees of freedom. It is shown also that in such approach the independence for the total baryon number of the bag of the surface position appears to be the direct consequence for the boundary conditions