Quantum statistical corrections to intrabeam scattering rates

Intrabeam scattering (IBS) is a relaxation process which brings a bunch of charged particles in an accelerator closer to its thermal equilibrium distribution. This leads to a time variation of collective quantities of the bunch, most notably of the emittance. The typical relaxation times can be calculated using the formalism of Bjorken and Mtingwa. This formalism treats the particles in the bunch as distinguishable classical particles. In this paper, we extend the previous results to include effects due to quantum statistics. For fermions, the relaxation times will increase due to restricted accessibility of phase-space, while we find a decrease in relaxation times for bosons. The correction factor, however, will be of the order N _Particlesh3/P₀³ε_x ε_yε_z and will be negligible for today´s machines