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 pp total cross sections ($ 5 \ GeV \ < \ \sqrt s \ < \ 1.8 \ TeV$) are described by means of two well-known distinct parametrizations, characteristic of theoretical (``Regge-like&#34; expression) and experimental (``Froissart-Martin-like&#34; expression) practices, respectively. Both are compared from the statistical point of view. For the whole set of present data, statistical analysis ($χ^2/d.o.f.$) seems to favour a ``Froissart-like&#34; ((ln $s$)$^{γ\approx 2}$ ) rise of the total cross section rather than a ``Regge-like&#34; ($s^ε$) one.