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M.Garçon, M. Guidal, C. Hadjidakis, K. Lukashin, L. Morand, S. Morrow, J. Santoro, E. Smith Exclusive 0, electroproduction on the proton @ CLAS on the proton @ CLAS S. Morrow et al., Eur.Phys.J.A39:5-31,2009 ( 0 @5.75GeV) J. Santoro et al., Phys.Rev.C78:025210,2008 ( @5.75GeV) L. Morand et al., Eur.Phys.J.A24:445-458,2005 ( @5.75GeV) C. Hadjidakis et al., Phys.Lett.B605:256-264,2005 ( 0 @4.2 GeV) K. Lukashin, Phys.Rev.C63:065205,2001 ( @4.2 GeV) } e1-b (1999) } e1-6 (2001-2002)
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e1-6 experiment (E e =5.75 GeV) (October 2001 – January 2002)
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ep ep + ( - ) Mm(epX) Mm(ep + X) e p ++ - )
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MC Acceptance calculation in 7D 200 million simulated events 100 days
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Comparison DATA-SIMULATION Determine & from comparison to data Nacc +( *Nacc +( *Nacc Ngen +( *Ngen +( *Ngen eff = Determine acceptance as;
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1) Ross-Stodolsky B-W for 0 (770), f 0 (980) and f 2 (1270) with variable skewedness parameter, 2) ++ (1232) + - inv.mass spectrum and + - phase space. Background Subtraction (normalized spectra)
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( * p p 0 ) vs W
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d /dt ( * p p 0 ) Fit by e bt Large t min ! (1.6 GeV 2 )
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Angular distribution analysis, cos cm Relying on SCHC (exp. check to the ~25% level)
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Longitudinal cross section L ( * L p p L 0 )
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Interpretation “a la Regge” : Laget model *p p 0 *p p *p p Free parameters: *Hadronic coupling constants: g MNN *Mass scales of EM FFs: (1+Q 2 / 2 ) -2
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Regge/Laget L ( * L p p L 0 ) Pomeron ,f 2
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LO (w/o kperp effect) Soft overlap (partial) Handbag diagram calculation has k perp effects to account for preasymptotic effects LO (with kperp effect) Interpretation in terms of GPDs ?
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GPDs parametrization based on DDs (VGG/GK model)
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VGG GPD model
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GK GPD model
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H, H, E, E (x,ξ,t) ~~ x+ξx-ξ t γ, π, ρ, ω… -2ξ x ξ-ξ-ξ +1 0 Quark distribution q q Distribution amplitude Antiquark distribution “ERBL” region“DGLAP” region W~1/ ERBLDGLAP
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Double Distributions parametrization (Radyushkin) H q (x, )~ d d x DD q ( ) With : and DD q ( )=h ) q( )h( )=[(1-| |) 2 - 2 ] DD q ( ,t)=q ( ) h ) - ’(1- )t Reggeized t dependence (M.G.,Polyakov,Vanderhaeghen,Radyushkin) x ξ-ξ-ξ +1 0 Add new D-term in ERBL region : H q (x, t)= d d x DD q ( t) + d d x DD ’ ( t) DD’( ,t)= h ) b’t/| | b’t+1 With: Which reduces to a D-term-like form as t->0 Normalization arbitrary: fitted to data!
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DDs + “meson exchange” DDs w/o “meson exchange” (VGG) “meson exchange”
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“DDs” GPDs + “meson exchange” Laget Regge d L /dt ( * p p 0 )
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ep->ep
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cos( cm ) distribution cm distribution
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Cross section ( * p p Laget T + L Laget L VGG L (H&E) Laget Regge model for *p p Issue with GPD approach if 0 exchange dominant : 0 ->E E subleading in handbag for VM production ~ ~ while
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Cross section ( * p p –Comparison with GPD calculation (VGG)-
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ep->ep
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GK L LL Laget T + L W=2.9 GeV W=2.45 GeV W=2.1 GeV
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Largest set ever of data for VM ( 0, ) production in the valence region ( L,T, d /dt,…) Laget Regge model describes well most of the features of cross sections (total and diff., L and T) up to Q 2 ~3.5 GeV 2. GPD handbag approach, though with large corrections (k perp ), gives good description of data for W>~5 GeV for the 3 channels. Summary For channel: continues to work for W<~5 GeV For channel: fails by large for W<~5 GeV (can potentially be cured by adding new contribution to GPD DD parametrisation) For channel: fails by large for W<~5 GeV (won’t be cured by the same ansatz than the vs H&E VM GPD dominance)
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W~1/ GPDs/handbag GPDs/handbag ???
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IM(p + )
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IM(p - )
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