S-matrix formulation of thermodynamics with N-body scatterings

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 $$N \rightarrow N$$ N → N processes is motivated and examined in...

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Main Author: Pok Man Lo
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5106-0
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spelling doaj-7588ebf1a7f94d7493bed0e10f77dc1e2020-11-24T21:42:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-08-0177811110.1140/epjc/s10052-017-5106-0S-matrix formulation of thermodynamics with N-body scatteringsPok Man Lo0Institute of Theoretical Physics, University of WrocławAbstract 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 $$N \rightarrow N$$ 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.http://link.springer.com/article/10.1140/epjc/s10052-017-5106-0
collection DOAJ
language English
format Article
sources DOAJ
author Pok Man Lo
spellingShingle Pok Man Lo
S-matrix formulation of thermodynamics with N-body scatterings
European Physical Journal C: Particles and Fields
author_facet Pok Man Lo
author_sort Pok Man Lo
title S-matrix formulation of thermodynamics with N-body scatterings
title_short S-matrix formulation of thermodynamics with N-body scatterings
title_full S-matrix formulation of thermodynamics with N-body scatterings
title_fullStr S-matrix formulation of thermodynamics with N-body scatterings
title_full_unstemmed S-matrix formulation of thermodynamics with N-body scatterings
title_sort s-matrix formulation of thermodynamics with n-body scatterings
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2017-08-01
description 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 $$N \rightarrow N$$ 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.
url http://link.springer.com/article/10.1140/epjc/s10052-017-5106-0
work_keys_str_mv AT pokmanlo smatrixformulationofthermodynamicswithnbodyscatterings
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