π-η mixing and charge symmetry violating NN potential in matter

We construct density-dependent class III charge symmetry violating (CSV) potential caused by the mixing of π-η mesons with off-shell corrections. The density dependence enters through the nonvanishing π-η mixing driven by both the neutron-proton mass difference and their asymmetric density distribution. The contribution of density-dependent mixing to the CSV potential is found to be appreciably larger than that of the vacuum part.