Heavy-fermion superconductor CeCoIn5 has two energy scales for quasiparticle excitation mechanisms in the vortex state: Zeeman shift for the paramagnetic depairing and Doppler shift for the diamagnetic depairing. We have found the two energy-scales description of the specific heat in magnetic fields, which indicates the crossover of the quasiparticle excitation mechanisms from the diamagnetic depairing to the paramagnetic depairing. This result recalls careful interpretations about the field angle resolved specific heat experiment for identifi. cation of the superconducting gap structure. (c) 2006 Elsevier B.V. All rights reserved.