S-matrix formulation of thermodynamics with N -body scatterings

Lo, Pok Man (Institute of Theoretical Physics, University of Wrocław, 0000 0001 1010 5103, 50204, Wrocław, Poland) (Extreme Matter Institute EMMI, GSI, 0000 0000 9127 4365, 64291, Darmstadt, Germany)

09 August 2017

Abstract: We apply a phase space expansion scheme to incorporate the N -body scattering processes in the S-matrix formulation of statistical mechanics. A generalized phase shift function suitable for studying the thermal contribution of N→N processes is motivated and examined in various models. Using the expansion scheme, we revisit how the hadron resonance gas model emerges from the S-matrix framework, and consider an example of structureless scattering in which the phase shift function can be exactly worked out. Finally we analyze the influence of dynamics on the phase shift function in a simple example of 3- and 4-body scattering.

Published in: EPJC 77 (2017) 533
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-5106-0
License: CC-BY-3.0

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