Take the 2-minute tour ×  In quantum 101, we all learned that
identical particles behave strangely, even in the absence of
interactions: no two fermions can be in the same state, but
bosons love to be in the same state.  But what if you have some
fermions, all with the same spin. However, they have other
difference(s) that make them distinguishable (i.e. mirror image
molecules), but don't affect the overall shape of the wave-
function very much.  You put these molecules in a potential well
in various states. You have a loose potential well so that the
wavelengths of the different energy states are much larger than
the size of the molecules; they are effectively point particles.
There are too many fermions to all go in the ground state if
they were identical, but they all can fit if they "know" that
they are different.  My reasoning is that they would initially
refuse to drop into the ground state, like fermions, but
eventually the tiny differences in mass/binding energy would
distinguish them and allow them to