Deep Inelastic Pion Electroproduction at Threshold

Abstract

We consider the cross section of the deep inelastic pion electroproduction on a proton target at threshold for Q^2 in the region 5-10 GeV^2. The corresponding amplitudes are described in terms of two form factors which we calculate using light cone sum rules (LCSR) to leading order in QCD and including higher twist corrections. Our results suggest a considerable change from a small Q^2 region that can be treated in the soft pion limit using current algebra. In particular, we obtain a π^0 to π^+ producton ratio of order 1/3 and significant nucleon helicity-flip contributions.

21 pages, 3 figures

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Cited by in corpus (23)

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• Strong $Z_c^{+}(3900)\to J/\psi {\pi }^{+};{\eta }_c{\rho }^{+}$ decays in QCD
• Nucleon Form Factors and Distribution Amplitudes in QCD
• Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors
• A QCD analysis of near-threshold quarkonium leptoproduction at large photon virtualities
• Hard exclusive electroproduction of a pion in the backward region
• The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N\to \Delta$ transition at intermediate values of $Q^2$
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Electroproduction of the $N^{\ast }(1535)$ nucleon resonance in QCD
• A consistent model for πN transition distribution amplitudes and backward pion electroproduction
• πN transition distribution amplitudes: Their symmetries and constraints from chiral dynamics
• Parton content of the nucleon from distribution amplitudes and transition distribution amplitudes
• Axial form factor of the nucleon at large momentum transfers
• A spectral representation for baryon to meson transition distribution amplitudes
• Nucleon's axial-vector form factor in the hard-wall AdS/QCD model
• Exclusive ${\mathbf{\pi }}^0\mathbf{p}$ electroproduction off protons in the resonance region at photon virtualities 0.4~GeV${}^2$ $\le {\mathbf{Q}}^2\le 1$~GeV${}^2$
• Measurement of the generalized form factors near threshold via ${\gamma }^{\ast }p\to n{\pi }^{+}$ at high $Q^2$
• Threshold Pion Electroproduction at Large Momentum Transfers
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Near Threshold Neutral Pion Electroproduction at High Momentum Transfers and Generalized Form Factors
• Toward an advanced phenomenology of $\pi N$ transition distribution amplitudes
• Baryon-to-meson transition distribution amplitudes: formalism and models
• Pion-Nucleon Distribution Amplitudes