  In the under- to optimal-doping regimes of electron-doped cuprates, it was
theoretically suspected that there is a coexistence of superconducting (SC) and
antiferromagnetic (AFM) orders. The quasi-particle excitations could be gapped
by both orders, and the effective gap is non-monotonic d-wave-like in the
momentum space. Alternatively the gap was also speculated as a pure pairing
gap. Using an effective microscopic model, we consider the manifestation of the
quasi-particle gap in the electronic Raman spectra in a range of doping levels,
where the relative strength of the SC and AFM order parameters varies. We
demonstrate that from the electronic Raman spectra the effective
single-particle gap can be disentangled into contributions from the two
distinctive orders. This would help to tell whether the non-monotonic gap is
due to the coexistence of SC and AFM orders.
