DPS in CGC: Double Quark Production and Effects of Quantum Statistics

Abstract

We consider forward inclusive production of two quarks in the high energy p-A collisions in the CGC formalism. We demonstrate that the production cross-section is determined by the convolution of the proton generalized double transverse momentum-dependent distribution (2GTMD) functions with two independent eikonal scattering amplitudes: the product of two dipoles and a quadrupole. We explicitly demonstrate that the quadrupole amplitude term accounts for all the (initial and final state) effects of quantum statistics for identical fermions, and the correlations due to these effects. We also demonstrate that the effects due to quantum statistics (entirely encoded in the quadrupole) are parametrically leading contributions to the correlated particle production at large $N_c$. For non-identical quarks the quadrupole term also leads to correlated production which has characteristics similar to the HBT effect.

15 pages, 1 figure; v3: results unchanged, clarifying comments added. The version to appear in PRD

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• Multi-particle production in proton-nucleus collisions in the Color Glass Condensate
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• Jets in evolving matter within the opacity expansion approach
• First saturation correction in high energy proton-nucleus collisions: Part III. Ensemble averaging
• CGC for Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider: a more realistic calculation