Geometric Parameterization of $J/Ψ$ Absorption in Heavy Ion Collisions

Abstract

We calculate the survival probability of $J/Ψ$ particles in various colliding systems using a Glauber model. An analysis of recent data has reported a $J/Ψ$-nucleon breakup cross section of 6.2$\pm$0.7 mb derived from an exponential fit to the ratio of $J/Ψ$ to Drell-Yan yields as a function of a simple, linearly-averaged mean path length through the nuclear medium. Our calculations indicate that, due to the nature of the calculation, this approach yields an apparent breakup cross section which is systematically lower than the actual value.