A new optimal bound on logarithmic slope of elastic hadron-hadron scattering

In this paper we prove a new optimal bound on the logarithmic slope of the elastic slope b when: σel and (dσ/ dω)(1) and (dσ/ dω)(-1), are known from experimental data. The results on the experimental tests of this new optimal bound are presented in Sect. 3 for the principal meson-nucleon elastic scatterings: (π±P → π±P and K±P → K±P) at all available energies. Then we show that the saturation of this optimal bound is observed with high accuracy practically at all available energies in meson-nucleon scattering. (authors)