Energy evolution and the Bose-Einstein enhancement for double parton densities

In this paper we show that Bose-Einstein enhancement generates strong correlations which, in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution, increase with energy. This increase leads to double gluon densities (Φ), which are much larger than the product of the single gluon densities (φ). However, numerically, it turns out that the ratio Φ/φ2?(1/x)δ2 with δ2∼αS/(Nc2-1)2/3?1, and so we do not expect a large correction for the experimentally accessible range of energies. However, for Nc=3, δ2=0.07ΔBFKL, where ΔBFKL denotes the intercept of the BFKL Pomeron, and thus we can anticipate a substantial increase for the range of rapidities Y∼20. We show that all 1/(Nc2-1) corrections to the double gluon densities stem from Bose-Einstein enhancement.