The ion acoustic turbulence in the plume of a hollow cathode operating in a Hall eect thruster is experimentally and analytically characterized. A recent theoretical study suggests that the increased resistivity as a result of the acoustic waves may dictate the cathode coupling voltage. The growth and strength of these waves are susceptible to changes in the neutral density or facility background pressure. A Langmuir probe is used to measure the steady state plasma parameters and wave properties with varying cathode ow fraction and background pressure. Results show that with increasing cathode ow fraction, the cathode coupling voltage decreases. Additionally, with increasing ow fraction, the electron temperature decreases. Both of these are consistent with lower ion acoustic turbulence strength. Ion saturation probes measure the wave properties. Results shows that the anomalous collision frequency grows with respect to the classical collision frequency with decreasing cathode ow fraction. This suggests that ion acoustic turbulence strength is correlated with the cathode coupling voltage in a Hall thruster for varying neutral density. Nomenclature () e,i = electron, ion A p = Probe area [m 2 ] A s = Sheath area [m 2 ] c s = Ion sound speed [m/s] i sat = Ion saturation current [A] k = wavenumver [1/m] m = mass [kg] n = density [1/m 3 ] q = unit charge [C] T e = electron temperature [eV] u i = Ion drift speed [m/s] V cc = Cathode coupling voltage [V] V cg = Cathode to ground voltage [V] V f = oating potential [V] V p = plasma potential [V] W = Wave energy density [J/m 3 ] φ = potential [V] ω 0 = cuto frequency [Hz] ω p = plasma frequency [Hz] ν an = anomalous collision frequency [Hz] ν ei = Coulomb collision frequency [Hz]