Exploring correlations in the CGC wave function: odd azimuthal anisotropy Academic Article uri icon

abstract

  • We extend the color glass condensate (CGC) approach to a calculation of the double inclusive gluon production by including the high density effect in the CGC wave function of the projectile (proton). Our main result is that these effects lead to the appearance of odd harmonics in the two particle correlation $C(k,p)$. We find that in the high momentum limit, $|k|,|p|\ensuremath{\gg}{Q}_{s}$, this results in a positive ${c}_{1}{2}$. Additionally when the magnitudes of the two momenta are approximately equal, $|k|/|p|\ensuremath{\approx}1$, the density effects also generate a positive third harmonic ${c}_{3}{2}$, which translates into a nonvanishing ${v}_{3}$ when the momenta of the trigger and an associated particle are in the same momentum bin. The sign of ${c}_{3}{2}$ becomes negative when $|k|/|p|>1.1$ suggesting an interesting experimental signature.

publication date

  • January 1, 2017