Second cluster integral and excluded volume effects for the pion gas

The quantum mechanical formula for Mayer s second cluster integral for the gas of relativistic particles with hard-core interaction is derived. The proper pion volume calculated with quantum mechanical formula is found t
The quantum mechanical formula for Mayer s second cluster integral for the gas of relativistic particles with hard-core interaction is derived. The proper pion volume calculated with quantum mechanical formula is found to be an order of magnitude larger than its classical evaluation. The second cluster integral for the pion gas is calculated in quantum mechanical approach with account for both attractive and hard-core repulsive interactions. It is shown that, in the second cluster approximation, the repulsive -interactions as well as the finite width of resonances give important but almost canceling contributions. In contrast, an appreciable deviation from the ideal gas of pions and pion resonances is observed beyond the second clus- ter approximation in the framework of the Van der Waals excluded-volume model.
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Metadaten
Author:Andriy P. Kostyuk, Mark I. Gorenstein, Horst Stöcker, Walter Greiner
URN:urn:nbn:de:hebis:30-22161
Document Type:Preprint
Language:English
Date of Publication (online):2005/11/23
Year of first Publication:2000
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Release Date:2005/11/23
Tag:Pion Gas; zweite Gruppenintegral
pion gas; second cluster integral
Source:Phys.Rev.C63:044901,2001. [hep-ph/0004163] Version 3
HeBIS PPN:185475906
Institutes:Physik
Dewey Decimal Classification:530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen

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