  We use a minimal zero-range model for describing the bound state spectrum of
three-body states consisting of two Cesium and one Lithium atom. Using a broad
Feshbach resonance model for the two-body interactions, we show that recent
experimental data can be described surprisingly well for particular values of
the three-body parameter that governs the short-range behavior of the atomic
potentials and is outside the scope of the zero-range model. Studying the
spectrum as a function of the three-body parameter suggests that the lowest
state seen in experiment could be influenced by finite range corrections. We
also consider the question of Fermi degeneracy and corresponding Pauli blocking
of the Lithium atoms on the Efimov states.
