On the Effect of the Field Reactions on the Interaction of Mesotrons and Nuclear Particles, I

As stated in the introduction, it is also possible to treat the problem quantum-theoretically when the coupling is Strong; This consist in obtaining the solution in an expansion of inverse powers of the coupling "COnstant I. Such a method was first introduced by Wentzel, which we shall here first modify so as to be applied to our problem without the incoRYenient and artificial use of the lattice space. We shall also make the underlying idea of this method more clear by means of the analogy of our system with a diatomic molecule. A :-Separation of three motions. In order to simplify the problem, we adopt also here the charged mesotron theOlY. Fl!rther, we use the re:J.l amplitudes ~l(f) and ;:~O and their canonically conjugate momenta II(f) and I~f) (e:s(f) and p.(f) do 110t appear, as we are dealing with the cha~ed theory). The Hamiltonian function is then written as when we use a thick letter to represent a vector in the 12-space. We introduce now a complete. set of normalized orthogonal functions having g(k)...r](as the zero-th m~mber: