On a new unitarization scheme inspired by Dalitz and Tuan applied to meson-meson and meson-baryon scattering

A new crossing symmetric unitarization scheme conveniently applied to meson-meson and meson-baryon scattering amplitudes is shortly proposed which can be not only used by theoreticians to unitarize arbitrary theoretical reaction amplitudes resulting from phenomenological Lagrangeans for mesons and baryons, yet also by experimentalists to generate realistic unitary fitting formulae for meson-meson and meson-baryon scattering observables sharing on one hand all the features of the underlying theoretical amplitudes, on the other hand allowing direct comparison to these amplitudes. The new unitarization scheme has been inspired by the Dalitz and Tuan representation, the basic ansatz of which is that "... the phases caused by different sources add ..." (using the words of B.S. Zou, D.V. Bugg, Phys. Rev. D 50 (1994) 591).