  Recent progresses in statistical mechanics indicate the Tsallis nonextensive
thermostatistics as the natural generalization of the standard classical and
quantum statistics, when memory effects and long-range forces are not
negligible. In this framework, weakly nonextensive statistical deviations can
strongly reduce the puzzling discrepancies between experimental data and
theoretical previsions for solar neutrinos and for pion transverse-momentum
correlations in Pb-Pb high-energy nuclear collisions.
