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Motivated by the similar mass splitting in light-light and heavy-light mesonsystem in $J^{P}=0^{-}$ and $J^{P}=0^{+}$ channel, taking into account theoperator mixing to obtain an infrared stable OPE as well as a complete bothnon-perturbative and perturbative $\mathcal {O}(m_{q})$ corrections to thecorrelation function, the SU(3)-symmetry breaking effects in mass splitting in$0^{-}$ and $0^{+}$ channel of $D$ meson are analyzed by QCD sum rule approachbased on a $c\bar{q}$ underlying structure. Within the sum rule we get, takingsame threshold and Borel window for same channel, we find a correct masssplitting tendency in both channel which agrees with observed spectrum. We find$m_{D_{s}}-m_{D_{d}}\sim35\rm{MeV}$ in $0^{-}$ channel and$m_{D_{d}}-m_{D_{s}}\sim12\rm{MeV}$ in $0^{+}$ channel at scale$\mu=1\rm{GeV}$. These splitting can be accommodated with the different role ofcombination of mass effects and the parity-dependent "force" induced fromnon-perturbative QCD vacuum. When we scale up to $\mu=1.3\rm{GeV}$, thesplitting remains unchanged which demonstrates a correct scale invariance.Combined with HQET, generalization to other channel of charmed meson and$b$-system are discussed briefly also.

SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar $D^{+}$ mesons from QCD sum rules