Exact string black hole behind the hadronic Rindler horizon?

The recently suggested interpretation P. Castorina, D. Kharzeev, and H. Satz, of the universal hadronic freeze-out temperature Tf (70MeV)-found for all high-energy scattering processes that produce hadrons e+e-, pp, pp̄, πp, etc., and NN′ (heavy-ion collisions)-as an Unruh temperature triggers here the search for the gravitational black hole (BH) that in its near-horizon approximation better simulates this hadronic phenomenon. To identify such a BH we begin our gravity-gauge theory phenomenologies matching by asking the question: which BH behind that Rindler horizon could reproduce the experimental behavior of Tf(s) in NN′, where s is the collision energy? Provided certain natural assumptions hold, we show that the exact string BH turns out to be the best candidate (as it fits the available data on Tf(s)) and that its limiting case, the Witten BH, is the unique candidate to explain the constant Tf 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(μb) due to the baryon density effects on Tf.