Transition GPDs and exclusive electroproduction of $\pi -\Delta (1232)$ final states

Abstract

We investigate exclusive electroproduction of ${\pi }^{-}{\Delta }^{++}$ within the handbag approach in which the helicity amplitudes factorize into generalized parton distributions (GPDs) and hard partonic subprocesses. We define the $p-\Delta$ transversity GPDs while the helicity non-flip GPDs are taken from the literature. For the numerical estimates of observables we utilize large-$N_C$ results in order to relate a few of the $p-\Delta$ GPDs to the proton-proton ones and neglect all other GPDs. In the calculation of the twist-2 and twist-3 subprocess amplitudes we take into account quark transverse momenta in combination with Sudakov suppressions. The partial cross sections for ${\gamma }^{\ast }p\to {\pi }^{-}{\Delta }^{++}$ are predicted in the large-$N_C$ limit.

31 pages, 6 figures

References in corpus (5)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Cross sections for hard exclusive electroproduction of pi+ mesons on a hydrogen target
• Rosenbluth separation of the ${\pi }^0$ electroproduction cross section
• Spin-flavor structure of chiral-odd GPDs in the large-N_c limit
• Wide-angle photo- and electroproduction of pions to twist-3 accuracy

Cited by in corpus (6)

• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• QCD angular momentum in $N\to \Delta$ transitions
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Complete definition of $N\to \Delta$ transition generalized parton distributions
• Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$