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Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy

In the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$ where $t$ is the momentum transfer. Taking as working example the results of experiments at Tevatron and SPS, we will sh...

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Detalles Bibliográficos
Autores principales: Bourrely, Claude, Soffer, Jacques, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1140/epjc/s10052-011-1601-x
http://cds.cern.ch/record/1305704
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author Bourrely, Claude
Soffer, Jacques
Wu, Tai Tsun
author_facet Bourrely, Claude
Soffer, Jacques
Wu, Tai Tsun
author_sort Bourrely, Claude
collection CERN
description In the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$ where $t$ is the momentum transfer. Taking as working example the results of experiments at Tevatron and SPS, we will show with the help of the impact picture approach, that this simplifying assumption hides interesting information on the complex non-flip scattering amplitude, and that the slope $b$ is not a constant. We investigate the variation of this slope parameter, including a model-independent way to extract this information from an accurate measurement of the elastic differential cross section. An extension of our results to the LHC energy domain is presented in view of future experiments.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
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spelling cern-13057042023-03-15T19:12:06Zdoi:10.1140/epjc/s10052-011-1601-xhttp://cds.cern.ch/record/1305704engBourrely, ClaudeSoffer, JacquesWu, Tai TsunDetermination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energyParticle Physics - PhenomenologyIn the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$ where $t$ is the momentum transfer. Taking as working example the results of experiments at Tevatron and SPS, we will show with the help of the impact picture approach, that this simplifying assumption hides interesting information on the complex non-flip scattering amplitude, and that the slope $b$ is not a constant. We investigate the variation of this slope parameter, including a model-independent way to extract this information from an accurate measurement of the elastic differential cross section. An extension of our results to the LHC energy domain is presented in view of future experiments.In the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$, where $t$ is the momentum transfer. Taking as working example the results of experiments at Tevatron and SPS, we will show with the help of the impact picture approach, that this simplifying assumption hides interesting information on the complex non-flip scattering amplitude, and that the slope $b$ is not a constant. We investigate the variation of this slope parameter, including a model-independent way to extract this information from an accurate measurement of the elastic differential cross section. An extension of our results to the LHC energy domain is presented in view of future experiments.arXiv:1011.1756CERN-PH-TH-2011-064oai:cds.cern.ch:13057042010-11-09
spellingShingle Particle Physics - Phenomenology
Bourrely, Claude
Soffer, Jacques
Wu, Tai Tsun
Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title_full Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title_fullStr Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title_full_unstemmed Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title_short Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
title_sort determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to lhc energy
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1140/epjc/s10052-011-1601-x
http://cds.cern.ch/record/1305704
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