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Partial generalized oscillator strength densities of CO molecules related to the excitation of a 5σ or lπ electron are calculated by using multi-scattering self-consistent-field methods. Momentum transfer dependence of two types of the broad enhancement phenomena above the threshold with one-electron character, i.e. shape resonance and non-resonance enhancement, is studied. Our calculations show that the energy position of a non-resonance enhancement is related to the momentum transfer K. Therefore, electron impact based experiments can be used to identify the two types of the broad enhancement phenomena.