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A consistent model for piN transition distribution amplitudes and backward pion electroproduction

Abstract : The extension of the concept of generalized parton distributions leads to the introduction of baryon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of the nonlocal three quark operator between a nucleon and a meson state. We present a general framework for modeling nucleon to pion (pi N) TDAs. Our main tool is the spectral representation for pi N TDAs in terms of quadruple distributions. We propose a factorized Ansatz for quadruple distributions with input from the soft-pion theorem for pi N TDAs. The spectral representation is complemented with a D-term like contribution from the nucleon exchange in the cross channel. We then study backward pion electroproduction in the QCD collinear factorization approach in which the non-perturbative part of the amplitude involves pi N TDAs. Within our two component model for pi N TDAs we update previous leading-twist estimates of the unpolarized cross section. Finally, we compute the transverse target single spin asymmetry as a function of skewness. We find it to be sizable in the valence region and sensitive to the phenomenological input of our pi N TDA model.
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http://hal.in2p3.fr/in2p3-00652807
Contributor : Jean-Philippe Lansberg <>
Submitted on : Friday, December 16, 2011 - 12:23:46 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:17 PM

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J.-P. Lansberg, B. Pire, K. Semenov-Tian-Shansky, L. Szymanowski. A consistent model for piN transition distribution amplitudes and backward pion electroproduction. Physical Review D, American Physical Society, 2012, 85, pp.054021. ⟨10.1103/PhysRevD.85.054021⟩. ⟨in2p3-00652807⟩

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