LAUSR

In this paper, we find, within the framework of perturbative QCD, that in deuteron-deuteron scattering Bose-Einstein correlations, due to production of two-parton showers, induce azimuthal angle correlations with three correlation lengths: the size of the deuteron (${R}_{D}$), the proton radius (${R}_{N}$), and the size of the Balitski-Fadin-Kuraev-Lipatov (BFKL) Pomeron, which is closely related to the saturation momentum (${R}_{c}\ensuremath{\sim}1/{Q}_{s}$). These correlations are independent of the values of rapidities of the produced gluons (long range rapidity correlations) for large rapidities (${\overline{\ensuremath{\alpha}}}_{S}|{y}_{1}\ensuremath{-}{y}_{2}|\ensuremath{\ge}1$) and have no symmetry with respect to $\ensuremath{\phi}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{-}\ensuremath{\phi}$ (${\mathbit{p}}_{T1}\ensuremath{\rightarrow}\ensuremath{-}{\mathbit{p}}_{T1}$). Therefore, they give rise to ${v}_{n}$ for all values of $n$, not only for even values. The contributions of the correlation lengths ${R}_{D}$ and ${R}_{N}$ crucially depend on the nonperturbative contributions, and obtaining estimates of their values requires a lot of modeling, while the correlations with ${R}_{c}\ensuremath{\sim}1/{Q}_{s}$ have a perturbative QCD origin and can be estimated in the color glass condensate approach.