  We report on the observation of nineteen interspecies Feshbach resonances in
an optically trapped ultracold Bose-Fermi mixture of ^{133}Cs and ^{6}Li in the
two energetically lowest spin states. We assign the resonances to s- and p-wave
molecular channels by a coupled-channels calculation, resulting in an accurate
determination of LiCs ground state potentials. Fits of the resonance position
based on the undressed Asymptotic Bound State model do not provide the same
level of accuracy as the coupled-channels calculation. Several broad s-wave
resonances provide prospects to create fermionic LiCs molecules with a large
dipole moment via Feshbach association followed by stimulated Raman passage.
Two of the s-wave resonances overlap with a zero crossing of the Cs scattering
length which offers prospects for the investigation of polarons in an ultracold
Li-Cs mixture.
