Discrete stationary states in the higher sectors of the lee model

The integral equations for the wave functions of discrete stationary states of the higher, single-fermion sectors of the Lee model are solved approximately by successive replacement of the nucleus by degenerate forms. A connection is found between an energy level and the reaction constant. It is shown that not more than one discrete state can exist in each sector, the energy of which tends to a finite limit as the reaction constant increases, and that the energy levels of the discrete states of different sections are equidistant for very strong binding.