Reference : Consistent model for \pi N transition distribution amplitudes and backward pion electrop...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/116396
Consistent model for \pi N transition distribution amplitudes and backward pion electroproduction
English
Lansberg, Jean-Philippe mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Physique des astroparticules >]
Pire, Bernard [ > > ]
Semenov-Tian-Chanski, Kirill mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Physique des astroparticules >]
Szymanowski, Lech [ > > ]
23-Mar-2012
Physical Review. D : Particles and Fields
American Physical Society
85
054021
Yes
0556-2821
College Park
MD
[en] The extension of the concept of generalized parton distributions leads to the introduction of baryon to meson transition distribution amplitudes (TDAs), nondiagonal 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 nonperturbative part of the amplitude involves N TDAs.
Within our two component model for 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.
http://hdl.handle.net/2268/116396

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