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Recent ARPES measurement on electron-doped cuprate$\mathrm{Pr}_{1.3-x}\mathrm{La}_{0.7}\mathrm{Ce}_{x}\mathrm{CuO}_{4}$ findsthat the pseudogap along the boundary of the antiferromagnetic Brillouinzone(AFBZ) exhibits dramatic momentum dependence. In particular, the pseudogapvanishes in a finite region around the anti-nodal point, in which a singlebroadened peak emerges at the un-renormalized quasiparticle energy. Such anobservation is argued to be inconsistent with the antiferromagnetic(AFM)band-folding picture, which predicts a constant pseudogap along the AFBZboundary. On the other hand, it is claimed that the experimental results areconsistent with the prediction of the cluster dynamical mean fieldtheory(CDMFT) simulation on the Hubbard model, in which the pseudogap isinterpreted as a s-wave splitting between the Hubbard bands and the in-gapstates. Here we show that the observed momentum dependence of the pseudogap isindeed consistent with AFM band-folding picture, provided that we assume theexistence of a strongly momentum dependent quasiparticle scattering rate. Morespecifically, we show that the quasiparticle scattering rate acts to reduce thespectral gap induced by AFM band-folding effect. The new quasiparticle polescorresponding to the AF-split bands can even be totally eliminated when thescattering rate exceeds the bare band folding gap, leaving the system with asingle pole at the un-renormalized quasiparticle energy. We predict that thepseudogap should close in a square root fashion as we move toward $(\pi,0)$along the AFBZ boundary. Our results illustrates again that the quasiparticlescattering rate can play a much more profound role than simply broadening thequasiparticle peak in the quasiparticle dynamics of strongly correlatedelectron systems.

Vanishing pseudogap around $(\pi,0)$ in an electron-doped high-$\mathrm{T_{c}}$ superconductor: a simple picture