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We revisit the charge symmetry breaking $(CSB)$ in nucleon-nucleon $(NN)$interaction caused by $\pi$-$\eta$ mixing in nuclear matter $(NM)$ employingone boson exchange $(OBE)$ model. The medium effect on $CSB$ is incorporatedthrough the in-medium $\pi$ and $\eta$ propagators. In addition, the mediummodification to the nucleon mass is also taken into account to construct the$CSB$ class $III$ potential considering off-shell $\pi$-$\eta$ mixing amplitudeand large contribution of in-medium meson propagators to $CSB$ potential isfound for the pseudoscalar $(PS)$ interaction compared to that of pseudovector$(PV)$ interaction.

Effect of in-medium $\pi$ and $\eta$ propagators to charge symmetry breaking interaction