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Based on a two-band model, we study the electronic Raman scattering intensityin both normal and superconducting states of iron-pnictide superconductors. Forthe normal state, due to the match or mismatch of the symmetries between bandhybridization and Raman vertex, it is predicted that overall $B_{1g}$ Ramanintensity should be much weaker than that of the $B_{2g}$ channel. Moreover, inthe non-resonant regime, there should exhibit a interband excitation peak atfrequency $\omega\simeq 7.3 t_1 (6.8t_1)$ in the $B_{1g}$ ($B_{2g}$) channel.For the superconducting state, it is shown that $\beta$-band contributes mostto the $B_{2g}$ Raman intensity as a result of multiple effects of Ramanvertex, gap symmetry, and Fermi surface topology. Both extended $s$- and$d_{xy}$-wave pairings in the unfolded BZ can give a good description to thereported $B_{2g}$ Raman data [Muschler {\em et al.}, Phys. Rev. B. {\bf 80},180510 (2009).], while $d_{x^2-y^2}$-wave pairing in the unfolded BZ seems tobe ruled out.

Two-band model of Raman scattering on iron pnictide superconductors