Exclusive electroproduction of the r+ on the proton at CLAS e(5.75 GeV) p e n r+ e’ n p+p0 AHMED FRADI Institut de Physique Nucléaire d’Orsay (France) CLAS Collaboration meeting Genoa, 27/02/2009
Outline: Physics motivations Data analysis: r+ cross sections Theoretical interpretation Conclusion
Meson electroproduction Regge “hadronic”approach: *Exclusive reactions. *Small t. *Small Q2. *Exchanged particles: Mesons, baryons. GPDs “partonic” approach: *Exclusive reactions. *Small t. *High Q2. *Exchanged particles: Quarks, gluons. Question1: Up to which Q2 “hadronic” approach is valid ? Question2: From which Q2 “partonic approach” is dominant ?
Regge “hadronic” approach Small Q2 Meson Baryon Beyond the resonance region (W> 2 GeV) , the reaction amplitude is dominated by the meson trajectory exchanges in the t-channel. Exp: r+ electroproduction: r+ n p+ r+ n +
Generalized Parton Distributions (GPDs) Ji, Radyushkin, Collins, Strikman, Frankfurt,…(1996) Large Q2 For mesons the factorisation applies only for longitudinal photons Small -t :-t << Q2 e’ γ, π, ρ, ω… Q2 g*T t e g*L F(z) 1-z -2x z x+x x-x ~ ~ H,E,H,E(x,x,t) -1<x<1 0<x<1 t=(p-p’)2 t=D2 p’(=p+D) p
GPDs extraction ~ ~ Hq, Eq, Hq , Eq are defined for each quark flavor q (u,d,s) ~ DVCS : H, E, H et E ~ ~ p0 euHu - edHd h euHu + edHd ~ H , E Pseudo-scalar mesons ~ ~ Vector meson H , E ρ0 euHu - edHd ω euHu + edHd ρ+ Hu - Hd Eu - Ed
Data analysis: r+ cross sections Outline: Physics motivations Data analysis: r+ cross sections Theoretical interpretation Conclusion 7
e p e n r+ e’ n p+p0 n e p+ g g The e1 – dvcs experiment (March - May 2005) e p e n r+ e’ n p+p0 n e p+ g g Beam energy = 5.75 GeV Current: 20-25 nA Integrated Luminosity ≈ 40fb-1 .1 < xB < .8 Q2 up to 5 GeV2
e p e’ [n] r+ e’ [n] p+p0 e’ [n] p+ g g Channel selection e p e’ [n] r+ e’ [n] p+p0 e’ [n] p+ g g p+ e (p-) (p) g EC An event in CLAS IC
p0 selection IC-IC After exclusivity cut
p0 selection IC-EC After exclusivity cut
p0 selection EC-EC After exclusivity cut
Neutron selection IC-IC
Neutron selection IC-EC
Neutron selection EC-EC
p+ p0 invariant mass r+ (0.775 GeV)
Acceptance calculation 200 million events generated with a realistic generator and simulated with CLAS simulator Acc(Q2,xB,t,…) = rec(Q2,xB,t,…) / gen(Q2,xB,t,…)
Kinematical variables: Data, MC r+ + MC phase space xB Q2 W -t F p+p0 invariant mass Cosp+ p+
Background subtraction Ross-Stodolsky B-W for r+(770) with variable skewedness parameter. p+p0 phase space.
r0 r+ 20
Total cross section s (Q2,xB) r+ PRELIMINARY
ds/dt (Q2,xB,t) r+ PRELIMINARY Fit by ebt
ds/dt (g*p pr0) Fit by ebt
Angular distribution analysis, cos qcm r0004 : fraction of longitudinal r+ PRELIMINARY
SCHC : PRELIMINARY
Check of the SCHC : ds/dF
Longitudinal cross sections PRELIMINARY
Data analysis: r+ cross sections Outline: Physics motivations Data analysis: r+ cross sections Theoretical interpretation Conclusion 28
“Hadronic approach”: JML model JML model agrees with the data at low xB (high W) and moderate Q2
“Hadronic approach”: JML model r+ r0
“Partonic approach”: GPDs (*) GPDsmodel agrees fairly with the data at low xB (high W) GPDs model misses the data at high xB (low W) (*) Guidal, Polyakov, Radyushkin, Vanderhaegen, PRD 72 (2005) 31
“Partonic approach”: GPDs (*) r+ r0 VGG GPD model GK GPD model 32
r0 “meson exchange” Can we add the “meson exchange” term for r+ ? DDs + “meson exchange” DDs w/o “meson exchange” (VGG) “meson exchange” Can we add the “meson exchange” term for r+ ?
2 days ago: (Peter Kroll) mb/GeV2 ? Hint: dsL/dt (r+) ?
dsL/dt (r0)
Conclusion In this analysis, we explore for the first time the r+ cross sections. An extraction of longitudinal r+ cross sections was done. Theoretical interpretation: * “Hadronic degrees of freedom”: meson trajectory exchanges in the t-channel (JML). Good agreement up to Q2 3.5 GeV . * “Partonic degrees of freedom”: quark handbag diagram and GPDs. VGG misses the data for small W: the handbag diagram is not dominant or a BIG part is missing in the model: q q correlation .