Theory ofp-Wave Pion-Nucleon Interaction

Exact relations are used to determine parameters like the cutoff and the unrenormalized coupling constant which are consistent with the low-energy scattering data. Under general assumptions about the Hamiltonian some inequalities are derived. For the Chew model those parameters can be determined with great accuracy. If one uses a Yukawa source function, the cutoff must be 4.7 and ${f_0}^2=0.22\mathrm{}$ in order not to be inconsistent with those relations.