Wigner distributions for gluons

Abstract We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate the gluon Wigner distributions at leading twist. Bet...

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Main Authors: Jai More, Asmita Mukherjee, Sreeraj Nair
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5858-1
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author Jai More
Asmita Mukherjee
Sreeraj Nair
author_facet Jai More
Asmita Mukherjee
Sreeraj Nair
author_sort Jai More
collection DOAJ
description Abstract We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate the gluon Wigner distributions at leading twist. Better numerical convergence is obtained compared to an earlier study, that removes the regulator dependence of the results. We present a first calculation of the Wigner distribution for the transversely polarized target and linearly polarized gluon. We study the spin densities in momentum and impact parameter space. We also investigate the quark and gluon helicity and orbital angular momentum distributions at small-x.
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1434-6052
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spelling doaj.art-8793e937135a4162aa05fb6d1b07586a2022-12-21T18:30:53ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-05-0178511510.1140/epjc/s10052-018-5858-1Wigner distributions for gluonsJai More0Asmita Mukherjee1Sreeraj Nair2Department of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Science Education and Research BhopalAbstract We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate the gluon Wigner distributions at leading twist. Better numerical convergence is obtained compared to an earlier study, that removes the regulator dependence of the results. We present a first calculation of the Wigner distribution for the transversely polarized target and linearly polarized gluon. We study the spin densities in momentum and impact parameter space. We also investigate the quark and gluon helicity and orbital angular momentum distributions at small-x.http://link.springer.com/article/10.1140/epjc/s10052-018-5858-1
spellingShingle Jai More
Asmita Mukherjee
Sreeraj Nair
Wigner distributions for gluons
European Physical Journal C: Particles and Fields
title Wigner distributions for gluons
title_full Wigner distributions for gluons
title_fullStr Wigner distributions for gluons
title_full_unstemmed Wigner distributions for gluons
title_short Wigner distributions for gluons
title_sort wigner distributions for gluons
url http://link.springer.com/article/10.1140/epjc/s10052-018-5858-1
work_keys_str_mv AT jaimore wignerdistributionsforgluons
AT asmitamukherjee wignerdistributionsforgluons
AT sreerajnair wignerdistributionsforgluons