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For a number of non-interacting identical particles entering a multi-channelscatterer in various wave packet states, we construct a generating function forthe probabilities of various scattering outcomes. This is used to evaluate themean numbers of particles $\overline{n}_m$ scattered into a given ($m$-th)channel, single-channel statistics, and inter-channel correlations. We showthat for initially uncorrelated particles, indistinguishability changes singlechannel statistics without altering the the value of $\overline{n}_m$. Foruncorrelated bosons and fermions, bunching and anti-bunching behaviour can bedetected in the extreme-case probabilities, to have all particles scatteredinto the same channel, or none of particles scattered into a channel, orchannels. As an example, we consider a cavity with a single long-livedresonance accessible to the particles, which allows them to "pile up" insidethe scatterer.

Quantum statistical effects in multi-channel wave packet scattering of non-interacting identical particles