  The crystalline electric field (CEF) energy level scheme of the heavy fermion
superconductor CeCoIn_5 has been determined by means of inelastic neutron
scattering (INS). Peaks observed in the INS spectra at 8 meV and 27 meV with
incident neutron energies between E_i=30-60 meV and at a temperature T = 10 K
correspond to transitions from the ground state to the two excited states,
respectively. The wavevector and temperature dependence of these peaks are
consistent with CEF excitations. Fits of the data to a CEF model yield the CEF
parameters B^0_2=-0.80 meV, B^0_4=0.059 meV, and |B^4_4|= 0.137 meV
corresponding to an energy level scheme: Gamma_7^(1) (0)[=0.487|+/-5/2> -
0.873|-/+3/2>], Gamma_7^(2) (8.6 meV, 100 K), and Gamma_6 (24.4 meV, 283 K).
