A quantum simulation of the thermally averaged
translational-rovibronic spectrum of Li*He associated with
the 3D(Σ,Π,Δ)←2P(Σ,Π) and
3P(Σ,Π)←2P(Σ,Π) transitions is
performed, using as input data accurate potentials and dipole
transition moment functions derived from ab initio
calculations. A few inaccuracies of the potentials existing in
the previous simulation of this spectrum are corrected, and
previously neglected bound states are taken into consideration.
The spectral profiles arising from different molecular channels
are calculated with a high degree of accuracy, and the total absorption
cross section summed over all the contributions is compared with
the experimental spectrum. It is demonstrated that the inclusion of bound
states considerably improves the agreement with the experimental values
which finally seems to be almost very good. This result
testifies to the accuracy of input data used for simulation.