Abstract
We study the deeply virtual Compton scattering off a spin-one particle, as the case for the coherent scattering off a deuteron target. We extend our approach, formulated initially for a spinless case, and discuss the role of twist three contributions for restoring the gauge invariance of the amplitude. Using twist three contributions and relations, which emanate from the QCD equations of motion, we derive the gauge invariant amplitude for the deeply virtual Compton scattering (DVCS) off hadrons with spin 1. Using the derived gauge invariant amplitude, the single spin asymmetry is discussed.
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Notes
Throughout this paper, we deal with the U(1) gauge invariance of the amplitude rather than the SU(3) c gauge invariance. Concerning the QCD gauge, we fix it by choosing the axial gauge for gluons, A +=0.
Actually, the method described in [12] and in this paper is suitable for a study of DVCS off an arbitrary spin hadron.
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Acknowledgements
The authors would like to thank A.V. Efremov, G. Ingelman, D. Ivanov, L. Szymanowski, S. Wallon for useful discussions and comments. This work is supported in part by the DFG project BR2021/6-1, the RFBR (grants 09-02-01149, 11-02-01454) and by the Carl Trygger Foundation (Sweden).
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Anikin, I.V., Pasechnik, R.S., Pire, B. et al. Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case. Eur. Phys. J. C 72, 2055 (2012). https://doi.org/10.1140/epjc/s10052-012-2055-5
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DOI: https://doi.org/10.1140/epjc/s10052-012-2055-5