scholarly journals Deeply virtual Compton scattering off Helium nuclei with positron beams

2021 ◽  
Vol 57 (9) ◽  
Author(s):  
Sara Fucini ◽  
Mohammad Hattawy ◽  
Matteo Rinaldi ◽  
Sergio Scopetta

AbstractPositron initiated deeply virtual Compton scattering (DVCS) off $$^4$$ 4 He and $$^3$$ 3 He nuclei is described. The way the so-called $$d-$$ d - term could be obtained from the real part of the relevant Compton form factor is summarized, and the importance and novelty of this measurement is discussed. The measurements addressed for $$^3$$ 3 He targets could be very useful even in a standard unpolarized target setup, measuring beam spin and beam charge asymmetries only. The unpolarized beam charge asymmetries for DVCS off $$^3$$ 3 He and $$^4$$ 4 He are also estimated, at JLab kinematics and, for $$^4$$ 4 He, also at a configuration typical at the future Electron–Ion Collider. Incoherent DVCS processes, in particular the ones with tagging the internal target by measuring slow recoiling nuclei, and the unique possibility offered by positron beams for the investigation of Compton form factors of higher twist, are also briefly addressed.

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Yuxun Guo ◽  
Xiangdong Ji ◽  
Kyle Shiells

Abstract We study the deeply virtual Compton scattering cross-section in twist-two generalized parton distribution (GPD) approximation, and show that different choices of light-cone vectors and gauges for the final photon polarization will lead to different higher-order kinematical corrections to the cross-section formula. The choice of light-cone vectors affects kinematic corrections at the twist-three level, accounting for the differences between the cross-section formulas in the literature. On the other hand, kinematical corrections from higher-twist GPDs should eliminate the light-cone dependence at twist three. Those light-cone dependencies are studied systematically at JLab 12 GeV and future EIC kinematics. They serve as the intrinsic systematic uncertainties in extracting the Compton form factors through the cross-section formula. More importantly, they are also necessary for understanding cross-section measurements with higher-twist precision and to reconstruct higher-order Compton form factors.


2021 ◽  
Vol 57 (7) ◽  
Author(s):  
S. Zhao ◽  
A. Camsonne ◽  
D. Marchand ◽  
M. Mazouz ◽  
N. Sparveris ◽  
...  

2005 ◽  
Vol 20 (31) ◽  
pp. 7347-7357
Author(s):  
DAE SUNG HWANG ◽  
TSUNEO UEMATSU

We study the deeply virtual Compton scattering on the photon target. The light-cone wavefunctions and the axial vector form factors of the photon are analyzed.


2003 ◽  
Vol 18 (16) ◽  
pp. 2787-2796
Author(s):  
Dae Sung Hwang

The matrix elements of the local operators such as electromagnetic current, energy momentum tensor, angular momentum, and generalized parton distributions have exact representations in terms of light-cone Fock state wavefunctions of bound states such as hadrons. We present formulae which express the form factors of the local operators in terms of the light-cone wavefunctions. We propose the measurement of the generalized parton distributions of the high energy real photon by the deeply virtual Compton scattering experiments.


2016 ◽  
Vol 31 (17) ◽  
pp. 1650091
Author(s):  
F. Nazari ◽  
A. Mirjalili

In this paper, we construct the generalized parton distribution (GPD) in terms of the kinematical variables [Formula: see text], [Formula: see text], [Formula: see text], using the double distribution model. By employing these functions, we could extract some quantities which makes it possible to gain a three-dimensional insight into the nucleon structure function at the parton level. The main objective of GPDs is to combine and generalize the concepts of ordinary parton distributions and form factors. They also provide an exclusive framework to describe the nucleons in terms of quarks and gluons. Here, we first calculate, in the Double Distribution model, the GPD based on the usual parton distributions arising from the GRV and CTEQ phenomenological models. Obtaining quarks and gluons angular momenta from the GPD, we would be able to calculate the scattering observables which are related to spin asymmetries of the produced quarkonium. These quantities are represented by [Formula: see text] and [Formula: see text]. We also calculate the Pauli and Dirac form factors in deeply virtual Compton scattering. Finally, in order to compare our results with the existing experimental data, we use the difference of the polarized cross-section for an initial longitudinal leptonic beam and unpolarized target particles [Formula: see text]. In all cases, our obtained results are in good agreement with the available experimental data.


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