Impact Representation of Generalized Distribution Amplitudes

Abstract

We develop an impact representation for the generalized distribution amplitude which describes the exclusive hadronization of a quark-antiquark pair to a pair of mesons. Experiments such as gamma^* gamma -> pi pi and gamma^* N -> pi pi N' are shown to probe the transverse size of the hadronization region of the quark antiquark pair that one can interpret as the transverse overlap of the two emerging mesons. An astonishing feature of this description is that low energy pi pi phase shift analysis can be used for understanding some properties of quark hadronization process.

arXiv comment9 pages LATEX, 3 .eps figures; final version to be published in Phys Lett. B. Some minor changes and some references added

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Cited by in corpus (29)

• Generalized Parton Distributions
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• On $\gamma {\gamma }^{\ast }$ production of two ${\rho }^0$ mesons
• Tomography of exotic hadrons in high-energy exclusive processes
• 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
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Exotic hybrid mesons in hard electroproduction
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Probing the gluon tomography in photoproduction of di-pions
• Diphoton Generalized Distribution Amplitudes
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• Quasi-two-body $B_{(s)}\to V\pi \pi$ Decays with Resonance $f_0(980)$ in PQCD Approach
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• Kinematical higher-twist corrections in ${\gamma }^{\ast }\to M_1{M}_2\gamma$: Neutral meson production
• $\rho$ meson impact parameter distributions
• $CP$-violating observables in four-body $B\to \varphi (\to K\bar{K})K^{\ast }(\to K\pi )$ decays
• Power corrections to the process ${\gamma }^{\ast }\gamma \to \pi \pi$ in the running coupling method
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• A QCD analysis of \bar p N -> gamma^* pi and \bar p N -> gamma^* gamma. Where is the pion in the proton ?
• $\pi \eta$ pair hard electroproduction and exotic hybrid mesons
• Hard exclusive reactions and hadron structure
• Transition Distribution Amplitudes for gamma* gamma collisions
• Exclusive two ${\rho }^0$-mesons production in $\gamma {\gamma }^{\ast }$ collision
• Analytic Evolution of Singular Distribution Amplitudes in QCD
• Revealing chiral-odd two-meson generalized distribution amplitudes in $e^{-}{e}^{+}\to (\pi \pi )(\pi \pi )$ reactions
• Accessing baryon-antibaryon generalized distribution amplitudes in $e^{\pm }\gamma \to e^{\pm }B\bar{B}$
• Hard exclusive processes with photons