1. J = 0 fixed pole and D-term form factor in deeply virtual Compton scattering.
- Author
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Mueller, D. and Semenov-Tian-Shansky, K. M.
- Subjects
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COMPTON scattering , *FORM factor (Nuclear physics) , *NUCLEAR physics experiments , *EXISTENCE theorems , *PHOTONS - Abstract
Brodsky, Llanes-Estrada, and Szczepaniak emphasized the importance of the J=0 fixed-pole manifestation in real and (deeply) virtual Compton scattering measurements and argued that the J=0 fixed pole is universal, i.e., independent on the photon virtualities [Phys. Rev. D 79, 033012 (2009)]. In this paper we review the J=0 fixed-pole issue in deeply virtual Compton scattering. We employ the dispersive approach to derive the sum rule that connects the J=0 fixed-pole contribution and the subtraction constant, called the D-term form factor for deeply virtual Compton scattering. We show that in the Bjorken limit the J=0 fixed-pole universality hypothesis is equivalent to the conjecture that the D-term form factor is given by the inverse moment sum rule for the Compton form factor. This implies that the D-term is an inherent part of the corresponding generalized parton distribution (GPD). Any supplementary D-term added to a GPD results in an additional J=0 fixed-pole contribution and implies the violation of the universality hypothesis. We argue that there exists no theoretical proof for the J=0 fixed-pole universality conjecture. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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