Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV

Abstract Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show the precise form of the t dependence. We present a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amp...

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Main Authors: A. K. Kohara, E. Ferreira, T. Kodama, M. Rangel
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5403-7
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author A. K. Kohara
E. Ferreira
T. Kodama
M. Rangel
author_facet A. K. Kohara
E. Ferreira
T. Kodama
M. Rangel
author_sort A. K. Kohara
collection DOAJ
description Abstract Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show the precise form of the t dependence. We present a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amplitude. A good description is achieved, confirming in all experiments the existence of a zero in the real part in the forward region close to the origin, in agreement with the prediction of a theorem by Martin, with an important role in the observed form of $$\mathrm{d}\sigma /\mathrm{d}t$$ d σ / d t . A universal value for the position of this zero and regularity in other features of the amplitudes are found, leading to quantitative predictions for the forward elastic scattering at 13 TeV.
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spelling doaj.art-059196ff178a4a03bd3fb92989dbaa8d2022-12-21T19:26:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-12-01771211710.1140/epjc/s10052-017-5403-7Elastic amplitudes studied with the LHC measurements at 7 and 8 TeVA. K. Kohara0E. Ferreira1T. Kodama2M. Rangel3Instituto de Física, Universidade Federal FluminenseInstituto de Física, Universidade Federal do Rio de JaneiroInstituto de Física, Universidade Federal FluminenseInstituto de Física, Universidade Federal do Rio de JaneiroAbstract Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show the precise form of the t dependence. We present a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amplitude. A good description is achieved, confirming in all experiments the existence of a zero in the real part in the forward region close to the origin, in agreement with the prediction of a theorem by Martin, with an important role in the observed form of $$\mathrm{d}\sigma /\mathrm{d}t$$ d σ / d t . A universal value for the position of this zero and regularity in other features of the amplitudes are found, leading to quantitative predictions for the forward elastic scattering at 13 TeV.http://link.springer.com/article/10.1140/epjc/s10052-017-5403-7
spellingShingle A. K. Kohara
E. Ferreira
T. Kodama
M. Rangel
Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
European Physical Journal C: Particles and Fields
title Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
title_full Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
title_fullStr Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
title_full_unstemmed Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
title_short Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
title_sort elastic amplitudes studied with the lhc measurements at 7 and 8 tev
url http://link.springer.com/article/10.1140/epjc/s10052-017-5403-7
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AT eferreira elasticamplitudesstudiedwiththelhcmeasurementsat7and8tev
AT tkodama elasticamplitudesstudiedwiththelhcmeasurementsat7and8tev
AT mrangel elasticamplitudesstudiedwiththelhcmeasurementsat7and8tev