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Nucleon-to-Pion Transition Distribution Amplitudes and Backward Electroproduction of Pions.

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  • Physical
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  • Mathematical & Earth Sciences :: Physics [G04]
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  • Mathématiques & Sciences De La Terre :: Physique [G04]
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P o S(QNP2012)057 Nucleon-to-pion transition distribution amplitudes and backward electroproduction of pions B. Pire CPhT, École Polytechnique, CNRS, 91128 Palaiseau, France K. Semenov-Tian-Shansky∗ IFPA, département AGO, Université de Liège, 4000 Liège, Belgium E-mail: [email protected] L. Szymanowski National Center for Nuclear Research (NCBJ), Warsaw, Poland Baryon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of the nonlocal three quark operator between a nucleon and a meson state, extend the concept of generalized parton distributions. These non-perturbative objects which encode the information on three quark correlations inside the nucleon may be accessed experimentally in backward meson electroproduction reactions. We suggest a general framework for modelling nucleon to pion (piN) TDAs employing the spectral representation for piN TDAs in terms of quadruple distributions. The factorized Ansatz for quadruple distributions with input from the soft-pion theorem for piN TDAs is proposed. It is to be complemented with a D-term like contribution from the nucleon exchange in the cross channel. We present our estimates of the unpolarized cross section and of the transverse target single spin asymmetry for backward pion electroproduction within the QCD collinear factorization approach in which the non-perturbative part of the amplitude involves piN TDAs. The cross section is sizable enough to be studied in high luminosity experiments such as [email protected] and EIC. Sixth International Conference on Quarks and Nuclear Physics, April 16-20, 2012 Ecole Polytechnique, Palaiseau, Paris ∗Speaker. c© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. P o S(QNP2012)057 piN TDAs and backward electroproduction of pions K. Semenov-Tian-Shansky 1. Introduction The backward kinematical regime for the pion electroproduction off nucleons (1.1) e(k1)+N(p1)→

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