Statistics of resonance and non-resonance tunnelling of fermionised cold atoms

We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resonance of a width $\Gamma$, the effect would be observed if the time between the two impacts is of order of $\hbar/\Gamma$. The statistics of non-resonance tunnelling across a broad potential barrier remain unaffected, which suggests that there is no appreciable delay in the classically forbidden region.