A comparative study on two characteristic parametrizations for high energy pp and pp total cross sections

Abstract Available high energy data for both pp and p p total cross sections ( f GeV s ) are described by means of two well-known distinct parametrizations, characteristic of theoretical (“Regge-like” expression) and experimental (“Froissart-Martin-like” expression) practices, respectively. Both are compared from the statistical point of view. For the whole set of present data statistical analysis (χ2/d.o.f.) seems to favour a “Froissart-like” ((ln s)γ≈2) rise of the total cross section rather than a “Regge-like” (sϵ) one.