  We present a generalization of the two-body contact interaction for
non-relativistic particles trapped in one dimension. The particles interact
only when they are a distance c apart. The competition of the interaction
length scale with the oscillator length leads to three regimes identified from
the energy spectra. When c is less than the oscillator length, particles avoid
each other, whereas in the opposite case bunching occurs. In the intermediate
region where the oscillator length is comparable to c, both exclusion and
bunching are manifested. All of these regions are separated by dark states,
i.e. bosonic or fermionic states which are not affected by the interactions.
