Attractive potential with forbidden states for theN−Ninteraction

A potential model with forbidden states for describing the nucleon-nucleon interaction in the inner region is suggested. Forbidden states in the $N-N$ system may occur due to the composite structure of nucleons as a consequence of the Pauli exclusion principle. A consistent description of singlet even phase shifts at energies up to 400 MeV has been obtained. The generalization of Levinson's theorem taking forbidden states into account permits a new interesting interpretation of the phase-shift analysis data at higher energies and as a result gives a "smooth matching" of the low-energy phase shifts with the asymptotic region $E\gtrsim 10$ GeV. The loop which the wave function has in the inner region provides a considerable contribution to the deuteron form factor at great momentum transfers. A comparison is made with the repulsive core model. Possible consequences for the three- and many-nucleon systems are discussed.