  It has been recently noticed that transverse momenta ($p_T$) distributions
observed in high energy production processes exhibit remarkably universal
scaling behavior. This is seen when they are in some suitable variable,
replacing the usual $p_T$. On the other hand, it is also known that transverse
momenta distributions in general follow a power-like Tsallis distribution,
rather than an exponential Boltzmann-Gibbs, with a (generally energy dependent)
nonextensivity parameter $q$. We now show that it is possible to choose a
suitable variable such that $p_T$ distributions of particles produced in
proton-proton interactions in a wide energy range can be fitted by the same
Tsallis distribution (with the same, energy independent, value of the
$q$-parameter). Similar scaling behavior in nucleus-nucleus collisions is also
observed. The possible dynamical origin of the q parameter used in these fits
will be discussed.
