The Exact String Black - Hole behind the hadronic Rindler horizon ?

The recently suggested interpretation [1] of the universal hadronic freeze-out temperature T f (≃ 170 Mev) – found for all high energy scattering processes that produce hadrons: e + e − , pp, p¯ p, πp, 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 (√ s) in N N ′ , where √ 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 (√ 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 σ(µ b) due to the baryon density effects on T f. *