Reference : Consistent model for \pi N transition distribution amplitudes and backward pion elect...
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Physics To cite this reference: http://hdl.handle.net/2268/116396
 Title : Consistent model for \pi N transition distribution amplitudes and backward pion electroproduction Language : English Author, co-author : Lansberg, Jean-Philippe [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Physique des astroparticules >] Pire, Bernard [ > > ] Semenov-Tian-Chanski, Kirill [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Physique des astroparticules >] Szymanowski, Lech [ > > ] Publication date : 23-Mar-2012 Journal title : Physical Review. D : Particles and Fields Publisher : American Physical Society Volume : 85 Pages : 054021 Peer reviewed : Yes ISSN : 0556-2821 City : College Park Country : MD Abstract : [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. Permalink : http://hdl.handle.net/2268/116396 DOI : 10.1103/PhysRevD.85.054021

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