Deeply Virtual Scattering

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Deeply Virtual Scattering off the neutron Carlos Muñoz Camacho, IPN-Orsay, CNRS/IN2P3 (France) (for the Hall A DVCS Collaboration) June 25, 2019

Deeply Virtual Compton Scattering

DVCS experimentally: interference with Bethe-Heitler

Experimental setup The E08-025 (n-DVCS) experiment was performed at JLab Hall A in 2010 Goal : Measure the n-DVCS total cross-section Beam Energy = 4.45 GeV & 5.54 GeV I beam ≈ 2-3 μA (80% polar.) e’(k’) P(p’) γ(q’) Recoil nucleon not detected Electromagnetic Calorimeter The data were taken at two kinematics (Kin2high and Kin2low): 13 X 16 PbF2 blocs (density 7.77 g/cm3) block size : 3x3 cm² x 20 X0 Each blok is conected to (PM + base) The detection Based on Čerenkov light detection Q² = 1.75 GeV² xBj = 0.36 t ~ [-0.5 , -0.1] GeV2 Maximal luminosity = 3. 1037cm-2s-1

First nDVCS experiment: E03-106 (2004) Polarized cross section difference Q²=1.91 GeV², xB=0.36, Eb=5.75 GeV ds – ds found compatible with zero within uncertainties Used to provide a model-dependent constraint in Ju & Jd Unpolarized cross section not measured (experimental calibration issues  next experiment E08-025) M. Mazouz et al., Phys. Rev. Lett. 99:242501, 2007

Experimental upgrades and improvements

Background subtraction Accidental events: subtracted with e-g coincidence window shifted in time 1-g p0 events: subtracted using fully reconstructing p0 (2-g) & calculating the probability of an asymmetric decay yielding only 1-g detected

Exclusivity ≈ t/2 nDVCS and dDVCS shifted by t/2 in M2X

(first observation of DVCS off the neutron) Eb=4.5 GeV Eb=5.6 GeV Cross sections -tn = 0.40 GeV2 -td = 0.33 GeV2 nDVCS and coherent dDVCS separated through M2X shift: large correlations at low –t good separation at larger -t -tn = 0.32 GeV2 -td = 0.26 GeV2 -tn = 0.25 GeV2 dDVCS very small (compatible with theory) nDVCS significant signal (first observation of DVCS off the neutron) -td = 0.20 GeV2 -tn = 0.18 GeV2 -td = 0.15 GeV2

t-dependence

DVCS2 & Int Eb=4.5 GeV Eb=5.6 GeV Simultaneous fit of azimuthal dependence of the cross section at 2 different beam energies -tn = 0.40 GeV2 -tn = 0.32 GeV2 Separation of DVCS2 and BH-DVCS intereference (Rosenbluth-like separation) -tn = 0.25 GeV2 Higher twist (HT) fit Next-to-leading (NLO) fit -tn = 0.18 GeV2 Significant contribution from DVCS2 term for nDVCS

Flavor-separated Compton FF Reggeized diquark model (Goldstein, Liuti et al.) Flavor-separated Compton FF Global fit of all Hall A DVCS data off proton and neutron, with CFFs of up and down quarks as free parameters .Hu and Hd: same sign (as forward & large-Nc limits, models…) .Htu and Htd: opposite sign (as forward & large Nc limit, models…) Data suggest same sign for Re (Eu) and Re (Ed) (against predictions from the large Nc limit)

Summary and conclusion Recent DVCS cross-section measurements off a LD2 target in Hall A: Sizeable signal from nDVCS beyond BH: dominated by the DVCS2 contribution First observation of DVCS off the neutron Unique sensitivity to GPD E Flavor separation of Compton Form Factors when combined with proton DVCS data DVCS off coherent deuteron also measured: small signal, as expected from theory Absolute cross sections measurements: very challenging Rosenbluth-like separation: measurements at 2 different beam energy Results submitted for publication, and currently and referee review