Abstract
One of important consequences of Hagedorn statistical bootstrap model is the prediction of limiting temperature Tcrit 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.
Highlights
The statistical bootstrap model (SBM) is based on the assumption of infinite sequence of heavier and heavier resonances, each being a constituent of a heavier resonance and, simultaneously, being composed of lighter ones
In the box calculations the hadron abundances saturate after a certain time, which is longer for strange particles compared to the non-strange ones
Energy spectra of different hadrons exhibit two time-independent inverse slopes corresponding to two temperatures, Tmeson and Tbaryon
Summary
The statistical bootstrap model (SBM) is based on the assumption of infinite sequence of heavier and heavier resonances (or clusters), each being a constituent of a heavier resonance and, simultaneously, being composed of lighter ones. Answering the question how the SBM is related to real collisions, Hagedorn admitted that [2] “ All this applies to infinitely extended hadronic matter in equilibrium. The microscopic transport models [7,8,9,10], employed for calculations of hh, hA and A+A collisions at relativistic energies, utilise the colored objects, i.e. strings, in addition to the tables of known hadrons and their resonances. Strings in their turn decay into hadrons, and the string masses are not limited from the top.
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