Non-extensive statistics effects in quark-gluon plasma and in relativisticheavy-ion collisions

The presence of memory effects and color long-range forces among the many-p arton system in the early stage of heavy-ion collisions can affect the part icle statistical behavior at the freeze-out temperature. In this context, w e calculate, in the framework of the equilibrium generalized non-extensive thermostatistics, the shape of pion transverse mass spectrum and the value of the transverse momentum correlation function of the pions emitted during the central Pb+Pb collisions and we show that the experimental results are well reproduced assuming very small deviations from the standard statistic s.