  The recently suggested interpretation of the universal hadronic freeze-out
temperature T_f ~ 170 Mev - found for all high energy scattering processes that
produce hadrons: e+ e-, p p, p anti-p, pi p, etc. and N N' (heavy-ion
collisions) - as a Unruh temperature triggers here the search for the
gravitational black-hole that in its near-horizon approximation better
simulates this hadronic phenomenon. To identify such a black-hole we begin our
gravity-gauge theory phenomenologies matching by asking the question: which
black-hole behind that Rindler horizon could reproduce the experimental
behavior of T_f (\sqrt{s}) in N N', where \sqrt{s} is the collision energy.
Provided certain natural assumptions hold, we show that the exact string
black-hole turns out to be the best candidate (as it fits the available data on
T_f (\sqrt{s})) and that its limiting case, the Witten black-hole, is the
unique candidate to explain the constant T_f for all elementary scattering
processes at large energy. We also are able to propose an effective description
of the screening of the hadronic string tension sigma(mu_b) due to the baryon
density effects on T_f.

High Energy Physics - Theory;High Energy Physics - Phenomenology