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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2017-08-01
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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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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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1725918571901485056 |