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Abstract
We investigate $\rho$ vector meson production in $ep$ collisions at HERA with leading neutrons in the dipole formalism. The interaction of the dipole and the pion is described in a mixed-space approach, in which the dipole-pion scattering amplitude is given by the Marquet-Peschanski-Soyez saturation model, which is based on the travelling wave solutions of the nonlinear Balitsky-Kovchegov equation. We estimate the magnitude of the absorption effects and compare our results with a previous analysis of the same process in full coordinate space. In contrast with this approach, the present study leads to absorption $K$ factors in the range of those predicted by previous theoretical studies on semi-inclusive processes.
Highlights
At high energies, the interaction between the virtual photon and a proton is described in a convenient way: long before the interaction, the photon splits into a quarkantiquark pair, or a dipole, and this dipole interacts with the proton
II we review the description of exclusive vector meson production with leading neutron in the dipole formalism
The remaining parameters of MPS model are c and B and their values are chosen to be those which provided the best description of the Hadron Electron Ring Accelerator (HERA) data on exclusive vector meson production in [28], c 1⁄4 4.401 and B 1⁄4 3.713, respectively
Summary
The interaction between the virtual photon and a proton is described in a convenient way: long before the interaction, the photon splits into a quarkantiquark pair, or a dipole, and this dipole interacts with the proton. The saturation model proposed by Marquet, Peschanski and Soyez (MPS model) [28] gives an expression for this amplitude in mixed space, which means that it depends on the collision energy, the dipole size and, instead of depending on the impact parameter, it depends on the momentum transferred in the dipole-proton collision This model is based on a fundamental property of the BK equation: at asymptotic high energies, it presents traveling wave solutions [29], which have been a natural explanation, for example, to the observed geometric scaling at HERA [30].
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