The energy-momentum tensor of spin-1 hadrons: formalism

Abstract We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factor...

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Main Authors: Wim Cosyn, Sabrina Cotogno, Adam Freese, Cédric Lorcé
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6981-3
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author Wim Cosyn
Sabrina Cotogno
Adam Freese
Cédric Lorcé
author_facet Wim Cosyn
Sabrina Cotogno
Adam Freese
Cédric Lorcé
author_sort Wim Cosyn
collection DOAJ
description Abstract We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factors appearing in this decomposition and provide relations for the mass decomposition, work balance, total and orbital angular momentum, mass radius, and inertia tensor. Generalizing earlier work, we derive relations between the total and orbital angular momentum and the Mellin moments of twist-2 and 3 generalized parton distributions, accessible in hard exclusive processes with spin-1 targets. Throughout the work, we comment on the unique features in these relations originating from the spin-1 nature of the hadron, being absent in the lower spin cases.
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spelling doaj.art-7e843f355c0e4927922e7592405abac42022-12-21T23:54:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-06-0179611410.1140/epjc/s10052-019-6981-3The energy-momentum tensor of spin-1 hadrons: formalismWim Cosyn0Sabrina Cotogno1Adam Freese2Cédric Lorcé3Department of Physics and Astronomy, Ghent UniversityCentre de Physique Théorique, École polytechnique, CNRS, Université Paris-SaclayArgonne National LaboratoryCentre de Physique Théorique, École polytechnique, CNRS, Université Paris-SaclayAbstract We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factors appearing in this decomposition and provide relations for the mass decomposition, work balance, total and orbital angular momentum, mass radius, and inertia tensor. Generalizing earlier work, we derive relations between the total and orbital angular momentum and the Mellin moments of twist-2 and 3 generalized parton distributions, accessible in hard exclusive processes with spin-1 targets. Throughout the work, we comment on the unique features in these relations originating from the spin-1 nature of the hadron, being absent in the lower spin cases.http://link.springer.com/article/10.1140/epjc/s10052-019-6981-3
spellingShingle Wim Cosyn
Sabrina Cotogno
Adam Freese
Cédric Lorcé
The energy-momentum tensor of spin-1 hadrons: formalism
European Physical Journal C: Particles and Fields
title The energy-momentum tensor of spin-1 hadrons: formalism
title_full The energy-momentum tensor of spin-1 hadrons: formalism
title_fullStr The energy-momentum tensor of spin-1 hadrons: formalism
title_full_unstemmed The energy-momentum tensor of spin-1 hadrons: formalism
title_short The energy-momentum tensor of spin-1 hadrons: formalism
title_sort energy momentum tensor of spin 1 hadrons formalism
url http://link.springer.com/article/10.1140/epjc/s10052-019-6981-3
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