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This study presents a detailed analysis of exclusive r0, w, and f electroproduction on the proton using data from the CLAS experiment. The analysis includes Monte Carlo acceptance calculations, background subtraction methods, and spectral fitting techniques with various models. The research investigates resonance properties, phase space distributions, and angular distributions, highlighting the comparison between data and theoretical models for various channels. The study also delves into the interpretation of results in terms of generalized parton distributions and the handbag approach. Overall, the research provides valuable insights into the production mechanisms of vector mesons on the proton.
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} e1-b (1999) K. Lukashin, Phys.Rev.C63:065205,2001 (f@4.2 GeV) } C. Hadjidakis et al., Phys.Lett.B605:256-264,2005 (r0@4.2 GeV) L. Morand et al., Eur.Phys.J.A24:445-458,2005 (w@5.75GeV) J. Santoro et al., Phys.Rev.C78:025210,2008 (f@5.75GeV) e1-6 (2001-2002) S. Morrow et al., Eur.Phys.J.A39:5-31,2009(r0@5.75GeV) Exclusive r0,w&f electroproduction on the proton @ CLAS M.Garçon, M. Guidal,C. Hadjidakis, K. Lukashin, L. Morand, S. Morrow, J. Santoro,E. Smith
e1-6 experiment (Ee =5.75 GeV) (October 2001 – January 2002)
Mm(epp+ X) Mm(epX) ep ep p+(p-) p+ e (p-) p
MC Acceptance calculation in 7D 200 million simulated events 100 days
ComparisonDATA-SIMULATION Naccr0+(a*NaccD++)+(b*Naccp+p-) eff = Ngenr0+(a*NgenD++)+(b*Ngenp+p-) Determine acceptance as; Determine a & b from comparison to data
BackgroundSubtraction (normalized spectra) • 1) Ross-Stodolsky B-W forr0(770),f0(980)andf2(1270) • with variable skewedness parameter, • 2)D++(1232) p+p-inv.mass spectrumandp+p- phase space.
Large tmin ! (1.6 GeV2) Fit by ebt ds/dt (g*ppr0)
Angular distribution analysis,cos qcm Relying on SCHC (exp. check to the ~25% level)
Interpretation “a la Regge” : Laget model g*p pr0 g*p pw Free parameters: *Hadronic coupling constants:gMNN *Mass scales of EM FFs:(1+Q2/L2)-2 g*p pf
sL (g*Lp prL0) s,f2 Pomeron Regge/Laget
LO (w/o kperp effect) LO (with kperp effect) Soft overlap (partial) Handbag diagram calculation has kperp effects to account for preasymptotic effects Interpretation in terms of GPDs ?
GPDs parametrization based on DDs (VGG/GK model)
VGG GPD model GK GPD model
t ERBL DGLAP x +1 -1 -ξ 0 ξ Quark distribution W~1/x γ, π, ρ, ω… -2ξ x+ξ x-ξ ~ ~ H, H, E, E (x,ξ,t) “ERBL” region “DGLAP” region Antiquark distribution q q Distributionamplitude
With : DDq(a,b)=h(a,b) q(b) h(a,b)=[(1-|b|)2-a2] and Reggeized t dependence (M.G.,Polyakov,Vanderhaeghen,Radyushkin) DDq(a,b,t)=q(b) h(a,b)b-a’(1-b)t Add new D-term in ERBL region : x Hq(x,x,t)= db da d(x-b-ax)DDq(a,b,t) +1 -1 -ξ 0 ξ +x db da d(x-b-ax)DD’(a,b,t) Which reduces to a D-term-like form as t->0 DD’(a,b,t)=a h(a,b) b’t/|b|b’t+1 With: Double Distributions parametrization (Radyushkin) Hq(x,x)~ db da d(x-b-ax)DDq(a,b) Normalization arbitrary: fitted to data!
DDs + “meson exchange” DDs w/o “meson exchange” (VGG) “meson exchange”
dsL/dt (g*ppr0) “DDs” GPDs + “meson exchange” Laget Regge
cos(qcm) distribution fcm distribution
Laget sT+esL Issue with GPD approach if p0 exchange dominant : ~ p0->E VGG esL (H&E) Laget esL while ~ E subleading in handbag for VM production Cross sections(g*p pw) LagetRegge model for g*p pw
Cross sections(g*p pw)–Comparison with GPD calculation (VGG)-
Laget sT+esL W=2.9 GeV W=2.45 GeV W=2.1 GeV GK sL fL
r w f
Summary Largest set ever of data for VM (r0,w,f) production in the valence region (sL,T, ds/dt,…) Laget Regge model describes well most of the features of (r0,w,f)cross sections (total and diff., L and T) up to Q2~3.5 GeV2. GPD handbag approach, though with large corrections (kperp), gives good description of data for W>~5 GeV for the 3 channels. For f channel: continues to work for W<~5 GeV For r channel: fails by large for W<~5 GeV (can potentially be cured by adding new contribution to GPD DD parametrisation) For w channel: fails by large for W<~5 GeV (won’t be cured by the same ansatz than the r; p0vs H&E VM GPD dominance)
GPDs/handbag ??? GPDs/handbag W~1/x