The Hagedorn temperature and partition thermodynamics
Jan, 2004
11 pages
Published in:
- Eur.Phys.J.C 34 (2004) 361-366
e-Print:
- hep-ph/0401103 [hep-ph]
Report number:
- BI-TP-2004-01
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Abstract:
We review the resonance gas formalism of hadron thermodynamics and recall that an exponential increase of the resonance spectrum leads to a limiting temperature of hadronic matter. We then show that the number p(n) of ordered partitions of an integer n grows exponentially with n and satisfies the integer counterpart of the statistical bootstrap equation. Considering the set of all partitions as a Gibbs ensemble provides a partition thermodynamics which is also governed by a limiting temperature, determined by the combinatorial structure of the problem. Further associating intrinsic quantum numbers to integers results in a phase diagram equivalent to that found in QCD for hadronic matter as function of temperature and baryochemical potential.Note:
- Dedicated to Rolf Hagedorn, 1919-2003. 11 pages, 3 figures. Final version accepted for publication in the European Physical Journal C Report-no: BI-TP 2004/01
- hadron: thermodynamics
- temperature: Hagedorn
- resonance: gas
- hadron: mass spectrum
- bootstrap: statistical
- critical phenomena
- quantum number
- numerical calculations
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