Diffraction Patterns in Deeply Virtual Compton Scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented at the 17 th International Spin Physics Symposium, Kyoto, Japan, October 2-7, 2006

Scientific paper

10.1063/1.2750858

We report on a calculation to show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable \zeta at fixed invariant momentum transfer squared t gives results that are analogous to the diffractive scattering of a wave in optics. As a specific example, we utilize the quantum fluctuations of a fermion state at one loop in QED to obtain the behavior of the DVCS amplitude for electron-photon scattering. We then simulate the wavefunctions for a hadron by differentiating the above LFWFs with respect to M^2 and study the corresponding DVCS amplitudes in light-front longitudinal space.

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