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

Abstract

In this paper we found that the Bose-Einstein enhancement generates the strong correlations, which increase with energy in the BFKL evolution. This increase leads to the double parton densities ( $\Phi$), that are much larger than the product of the single parton densities ($\varphi$). However, numerically, it turns out that the ratio $Φ/ϕ^2 \propto \Lb 1/x\Rb^{δ_2}$ with $δ_2 \sim \bas/\Lb N^2_c - 1\Rb^{2/3}\,\,\ll\,\,1$ and we do not expect a large correction for the accessible range of energies. However, for $N_c=3$ it tuns out that ${\delta }_2=0.07{\Delta }_{\mathrm{BFKL}}$ where ${\Delta }_{\mathrm{BFKL}}$ is the intercept of the BFKL Pomeron and we can anticipate an substantial increase for the range of rapidities $Y\sim 20$.It is shown that all $1/(N_c^2-1)$ corrections to the double parton densities stem from the Bose-Einstein enhancement.

19pp. 7 figures in pdf files

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