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 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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Author:Andriy P. KostyukORCiD, Mark I. GorensteinORCiDGND, Horst StöckerORCiDGND, Walter GreinerGND
Document Type:Preprint
Date of Publication (online):2005/11/23
Year of first Publication:2000
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
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
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoDeutsches Urheberrecht