Recoil effects in quantum topological solitons

We enlarge the space of dynamical variables to include the collective coordinate defining the position of the quantum topological soliton. The leading order correction arising from this treatment allows us to confirm that the energy of the soliton varies covariantly to lowest order for certain types of self interacting potentials. Upon imposing conservation of statistics we find that the allowed momenta is quantized. A Yukawa coupling appears as a consequence of diagonalizing the Hamiltonian of the mesons. These results along with its quantum nature proposes the quantum topological solitons as excellent candidates for nuclear physics at intermediate energies.