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

Cosyn, Wim; Cotogno, Sabrina; Freese, Adam; Lorcé, Cédric

doi:10.1140/epjc/s10052-019-6981-3

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

Journal Article · 05 June 2019 · European Physical Journal. C, Particles and Fields

DOI: https://doi.org/10.1140/epjc/s10052-019-6981-3 · OSTI ID:1545769

Cosyn, Wim ^[1];

^[2]; Freese, Adam ^[3]; Lorcé, Cédric ^[4]

Ghent Univ., Ghent (Belgium)
Univ. Paris-Saclay, Palaiseau (France)
Argonne National Lab. (ANL), Lemont, IL (United States)
Univ. Paris-Saclay, Palaiseau (France)

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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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: Agence Nationale de la recherche (ANR); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1545769

Journal Information:: European Physical Journal. C, Particles and Fields, Vol. 79, Issue 6; ISSN 1434-6044

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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