A spectral representation for baryon to meson transition distribution amplitudes

Abstract

We construct a spectral representation for the baron to meson transition distribution amplitudes (TDAs), i.e. matrix elements involving three quark correlators which arise in the description of baryon to meson transitions within the factorization approach to hard exclusive reactions. We generalize for these quantities the notion of double distributions introduced in the context of generalized parton distributions. We propose the generalization of A.Radyushkin's factorized Ansatz for the case of baryon to meson TDAs. Our construction opens the way to modeling of baryon to meson TDAs in their complete domain of definition and quantitative estimates of cross-sections for various hard exclusive reactions.

This is the second version of the paper. Important changes were made in the text and many errors in the formulas were corrected. 37 pages, 8 figures

References in corpus (26)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Nonforward Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Factorization for hard exclusive electroproduction of mesons in QCD
• Scaling Limit of Deeply Virtual Compton Scattering
• Skewed and double distributions in pion and nucleon
• Deeply virtual electroproduction of photons and mesons on the nucleon : leading order amplitudes and power corrections
• Double distributions and evolution equations
• Symmetries and structure of skewed and double distributions
• Evolution and models for skewed parton distributions
• Crossing and Radon Tomography for Generalized Parton Distributions
• Hard exclusive pseudoscalar meson electroproduction and spin structure of a nucleon
• Twist-three analysis of photon electroproduction with pion
• QCD analysis of bar p N -> gamma* pi in the scaling limit
• Hadron annihilation into two photons and backward dVCS in the scaling regime of QCD
• Hard exclusive electroproduction of a pion in the backward region
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Deeply Virtual Compton Scattering on a Photon and Generalized Parton Distributions in the Photon
• Parton content of the nucleon from distribution amplitudes and transition distribution amplitudes
• Quantifying the nucleon's pion cloud with transverse charge densities
• Deep Inelastic Pion Electroproduction at Threshold
• Threshold Pion Electroproduction at Large Momentum Transfers
• Novel hard semiexclusive processes and color singlet clusters in hadrons

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