We present a parton statistical model in which the pairing interaction has been explicitly taken into account. Using a generalized equidistant model for the density of states we calculate the 90° differential elastic two-body cross section in terms of an incoherent sum of direct-channel resonances. Encouraging agreement with the data for ${\pi }^{\pm }p$ and $p\overline{p}$ elastic reaction is obtained. Two main results are deduced from our analysis: (a) an approximate exponential decrease of ${\frac{d\sigma }{d\Omega }|}_{90°}$; (b) a break structure in ${\frac{d\sigma }{d\Omega }|}_{90°}$. The position of the break is fixed at the energy where the temperature of the system reaches its critical value, i.e., a phase transition occurs.

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