  The effect of boson bunching is frequently mentioned and discussed in the
literature. This effect is the manifestation of bosons tendency to "travel" in
clusters. One of the core arguments for boson bunching was formulated by
Feynman in his well-known lecture series and has been frequently used ever
since. By comparing the scattering probabilities of two bosons and of two
non-identical particles, Feynman concluded: "We have the result that it is
twice as likely to find two identical Bose particles scattered into the same
state as you would calculate assuming the particles were different." [1].
Indeed, in most scenarios, this reasoning is valid, however, as it is shown in
this paper, there are cases, even in the most ordinary scattering scenarios,
where this reasoning is invalid, and in fact the opposite occurs: boson
anti-bunching appears. Similarly, it is shown that at exactly the same
scenarios, fermions bunch together.
