  We evaluate the equilibrium state of a mixture of 7Li and 6Li atoms with
repulsive interactions, confined inside a pancake-shaped trap under conditions
such that the thickness of the bosonic and fermionic clouds is approaching the
values of the s-wave scattering lengths. In this regime the effective couplings
depend on the axial confinement and full demixing can become observable by
merely squeezing the trap, without enhancing the scattering lengths through
recourse to a Feshbach resonance.
