Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Jun 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..433..446p&link_type=abstract
Workshop on observing giant cosmic ray air showers from >1020 eV particles from space. AIP Conference Proceedings, Volume 433, p
Physics
Condensed Matter
Statistical Mechanics
Elementary Particle Processes, Finite-Temperature Field Theory, Quantum Chromodynamics
Scientific paper
We propose a statistical parameterization of hadron production which is verified up to the highest EAS energies. This parameterization leads to Stephan's type equation of state relating the `temperature' of the relativistic hadron gas with the collision energy if a power multiplicity law is assumed. A correspondence between the lattice theory expansion on the coupling constant and the statistical sum of temperature expansion in statistical mechanics reveals a simple relation between the multiplicity power law index and the coupling constant. Cosmic ray data yield estimates of the running values of the coupling constant beyond the range of collider experiments. These estimates indicate the asymptotic behavior of the running values of the coupling constant and provide a hint that color confinement and asymptotic freedom of quarks co exist in an unified phase of QCD.
Kamberov George
Popova L. L.
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