Abstract
Double inclusive cross-sections for gluon production in collision of two nucleons with two nucleons are studied in the BFKL approach. Various contributions include emission from the pomerons attached to the participants, from the BFKL interactions between these pomerons and from the intermediate BKP state. The last contribution may be observable provided the growth with energy of the pomeron contribution is tamed in accordance with unitarity. Possibility of long-range azimuthal correlations due to the BKP state are discussed.
Highlights
In this paper we study double inclusive cross sections for gluon production for the same process
The state formed between these interactions is the BKP state made of four reggeised gluons
Taking into account contributions from all diagrams we find that the S contributions cancel 1/2 of the diffractive contributions. (The extra factor in the S contribution appears because of the fact that of two possible interactions v23 and v13 only half of them contains a real gluon in the intermediate state.) So for the case when the gluon of higher rapidity is emitted from the pomeron the result is
Summary
The forward amplitude D(1) corresponding to Fig. 1, derived in [1], contains an infrared divergent part Both of the two pairs of pomerons coupled to the projectiles and targets contain the factor 1/(E − 4ω(q)) where E is the twopomeron ‘energy’ and ω(q) is the gluon trajectory, which correspond to free propagation. After separation of the δ-functions in (13) the corresponding diagrams contain internal longitudinal integrations over intermediate gluon momenta. Apart from integrations over the unobserved or virtual gluon rapidities, function F is just a contribution from the diagrams with transverse integrations over the gluon momenta in accordance with the conservation laws
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