Abstract

Hard exclusive processes such as photoproduction or electroproduction of photon or meson off the nucleon provide access to the Generalized Parton Distributions (GPDs), in the regime where the scattering amplitude is factorized into a hard and a soft part. GPDs contain the correlation between the longitudinal momentum fraction and the transverse spatial densities of quarks and gluons in the nucleon. Timelike Compton Scattering (TCS) correspond to the reaction γN → γ*N → e + e − N , where the photon is scattered off a quark. It is measured through its interference with the associated Bethe-Heitler process, which has the same final state. TCS allows to access the GPDs and test their universality by comparison to the results obtained with the DVCS process ( eN → eγN ). Also, results obtained with TCS provide additional independent constrains to the GPDs parameterization.We will present the physical motivations for TCS, with our theoretical predictions for TCS observables and their dependencies. We calculated for JLab 12 GeV energies all the single and double beam and/or target polarization observables off the proton and off the neutron. We will also present the experimental perspectives for the next years at JLab. Two proposals were already accepted at JLab: in Hall B, with the CLAS12 spectrometer, in order to measure the unpolarized cross section and in Hall A, with the SoLID spectrometer, in order to measure the unpolarized cross section and the beam spin asymmetry at high intensity. A Letter Of Intent was also submitted in order to measure the transverse target spin asymmetries in Hall C. We will discuss the merits of this different experiments and present some of the expected results.

Highlights

  • EPJ Web of Conferences γ (q) hard soft x+ξP (p) e- (k) e+ (k') γ ∗ (q') x- ξ P' (p')γ (q) P (p) e-(k) e+(k') γ∗ (q') P' (p')t part corresponding to low energy interactions in the nucleon

  • Previous asymmetries access (H) (CFF associated to Generalized Parton Distributions (GPDs) H), which is proportionnal to H(±ξ, ξ, t)

  • We presented a sample of our results for Timelike Compton Scattering (TCS) and BH off the proton and off the neutron

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Summary

Introduction

Part corresponding to low energy interactions in the nucleon. The later could be parameterized by Generalized Parton Distributions (GPDs) [1,2,3,4,5]. GPDs contain the correlation between the longituninal momentum fraction x of the struck quark and its transverse spatial distribution, implicitely contained in the t (momentum transfer squared) dependence. It can be shown in a model independent way [6] that the Fourier transform of GPD(x, ξ = 0, t) gives the probability to find a quark with momentum fraction x of the nucleon at a transverse distance b⊥ of the center of the nucleon, where b⊥ is the conjugate variable of t. We calculated all the unpolarized and beam and/or target polarized cross sections, with circularly or linearly polarized beam and with longitudinally or transversally polarized proton or neutron [9, 10] In this proceeding, we briefly summarize the formalism that we used and we present some of these results. We will discuss the interest of the measurement of some of these observables, for TCS off the proton and off the neutron, and we will present the experimental project at for JLab at 12 GeV

Unpolarized cross section and formalism
Single spin asymmetries
Proton and neutron comparison: circularly polarized beam spin asymmetry
Experimental perspectives for TCS at JLab at 12 GeV
Conclusion
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