Appearance of Hagedorn limiting temperature in microscopic model calculations

¹ Department of Physics, University of Oslo, PB 1048 Blindern, Oslo, Norway
² Skobeltsyn Institute of Nuclear Physics, Moscow State University, RU-119991 Moscow, Russia
³ Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438 Frankfurt a.M., Germany
⁴ National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), RU-115409 Moscow, Russia
⁵ Institute for Theoretical Physics, J.W. Goethe Universität, D-60438 Frankfurt a.M., Germany
⁶ J.W. Goethe Universität, D-60438 Frankfurt a.M., Germany
⁷ GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany

^a e-mail: eugen.zabrodin@fys.uio.no

Published online: 4 November 2016

Abstract

One of important consequences of Hagedorn statistical bootstrap model is the prediction of limiting temperature T_crit for hadron systems colloquially known as Hagedorn temperature. According to Hagedorn, this effect should be observed in hadron spectra obtained in infinite equilibrated nuclear matter rather than in relativistic heavy-ion collisions. We present results of microscopic model calculations for the infinite nuclear matter, simulated by a box with periodic boundary conditions. The limiting temperature indeed appears in the model calculations. Its origin is traced to strings and many-body decays of resonances.