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 $\Phi /{\varphi }^2\propto \text{Lb}1/x{\text{Rb}}^{{\delta }_2}$ with ${\delta }_2\sim \text{bas}/\text{Lb}{N}_c^2-1{\text{Rb}}^{2/3}\ll 1$ 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.

Comments: 19pp. 7 figures in pdf files