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Given an accelerator-based neutrino experiment with the beam energy E\lesssim 1 GeV, we expand the probabilities of \nu_\mu \to \nu_e and \overline{\nu}_\mu \to \overline {\nu}_e oscillations in matter in terms of two smallquantities \Delta_{21}/\Delta_{31} and A/\Delta_{31}, where \Delta_{21} \equivm^2_2 - m^2_1 and \Delta_{31} \equiv m^2_3 - m^2_1 are the neutrinomass-squared differences, and A measures the strength of terrestrial mattereffects. Our analytical approximations are numerically more accurate than thosemade by Freund in this energy region, and thus they are particularly applicablefor the study of leptonic CP violation in the low-energy MOMENT, ESS\nuSM andT2K oscillation experiments. As a by-product, the new analytical approximationshelp us to easily understand why the matter-corrected Jarlskog parameter\widetilde{\cal J} peaks at the resonance energy E_* \simeq 0.14 GeV (or 0.12GeV) for the normal (or inverted) neutrino mass hierarchy, and how the threeDirac unitarity triangles are deformed due to the terrestrial mattercontamination. We also affirm that a medium-baseline neutrino oscillationexperiment with the beam energy E lying in the E_* \lesssim E \lesssim 2 E_*range is capable of exploring leptonic CP violation with little matter-inducedsuppression.

Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E \lesssim 1 GeV