[en] The semi-inclusive π^-N reactions are investigated. Studied are π^-p and π^-n interactions on quasi-free neutrons of C nucleus in 2 meter propane bubble chamber irradiated by π^- mesons with the momentum of 4000+-0.24 GeV/c. Based on the statistics of about 10000 π^-p and 4000 π^-n interactions, the one-particle semi-inclusive distribution over transverse momenta of producted π^+- mesons have been analyzed using a statistical model of excited cluster and a thermodynamical model. The linear increase of a transverse coefficient asub(tr) with a multiplicity and its slight decrease with the increase of interaction energy is observed. The obtained value asub(tr) approximately equal to 6.5 for π^+- mesons correspond to the ''hadrom matter boiling'' temperature of T approximately equal to/ 151 MeV. The data proved the weak ''temperature'' growth with the increase of incident particle momentum and the asub(tr) value independence on the type of interacting particles