The pion pole in hard exclusive vector-meson leptoproduction

Abstract

Exploiting a set of generalized parton distributions (GPDs) derived from analyses of hard exclusive leptoproduction of rho0, phi and pi+ mesons, we investigate the omega spin density matrix elements (SDMEs) recently measured by the HERMES collaboration. It turns out from our study that the pion pole is an important contribution to omega production. It will be treated as a one-particle exchange since its evaluation from the GPD E-tilde considerably underestimates its contribution. As an intermediate step of our analysis we extract the pi-omega transition form factor for photon virtualities less than 4 GeV^2. From our approach we achieve results for the omega SDMEs in good agreement with the HERMES data. The role of the pion pole in exclusive rho0 and phi leptoproduction is discussed too.

27 pages, 33 figures

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• Ratios of helicity amplitudes for exclusive ${\rho }^0$ electroproduction on transversely polarized protons
• Spin Density Matrix Elements in Exclusive $\omega$ Meson Muoproduction ${}^{\ast }$
• Exclusive $\omega$ meson muoproduction on transversely polarised protons
• Hard exclusive processes involving kaons
• Hard exclusive pion leptoproduction
• Pion-production cross sections in neutrino reactions for studying generalized parton distributions of the nucleon
• Accessing Compton Form Factors at the Electron Ion Collider in China: An Impact study on $\text{Im}\mathcal{E}$
• The exclusive Drell-Yan process and deeply virtual pion production
• Probing nucleon spin structure in deep-inelastic scattering, proton-proton collisions and Drell-Yan processes
• Role of pion pole in hard exlusive meson leptoproduction
• Amplitudes ratios in ${\rho }^0$ leptoproductions and GPDs