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The Coulomb-like backward peak of the neutron-proton scattering differentialcross section is due to one-pion exchange. Extrapolation to the pion pole ofprecise data should allow to obtain the value of the charged pion-nucleoncoupling constant. This was classically attempted by the use of a smoothphysical function, the Chew function, built from the cross section. To improveaccuracy of such an extrapolation one has introduced a difference method. Itconsists of extrapolating the difference between the Chew function based onexperimental data and that built from a model where the pion-nucleon couplingis exactly known. Here we cross-check to which precision can work this novelextrapolation method by applying it to differences between models and betweendata and models. With good reference models and for the 162 MeV neutron-protonUppsala single energy precise data with a normalisation error of 2.3 %, thevalue of the charged pion-nucleon coupling constant is obtained with anaccuracy close to 1.8 %.Comment: Talk given at the Workshop on "Critical points in the determination  of the pion-nucleon coupling constant", Uppsala, June 7-8, 1999, 24 pages, 11  figures, to appear in the proceedings of the Workshop in Physica Script

How Precisely can the Difference Method Determine the pNN Coupling Constant?