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A consistent model for pi N transition distribution amplitudes and backward pion electroproduction | | J. P. Lansberg
; B. Pire
; K. Semenov-Tian-Shansky
; L. Szymanowski
; | | Date: |
15 Dec 2011 | | 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 modelling 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. | | Source: | arXiv, 1112.3570 | | Services: | Forum | Review | PDF | Favorites | |
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