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

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

1996-05-15

arxiv.org/abs/hep-ph/9605321v1

Phys.Lett. B380 (1996) 184-188

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1016/0370-2693(96)00454-6

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

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