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Chiral symmetry imposes some constrains on hadron correlation functions indense medium. These constraints imply a certain general structure of the two-and three-point correlation functions of chiral partners and lead to the effectof mixing arising from the interaction of the long-ranged nuclear pions withcorresponding interpolating currents. It reflects the phenomena of partialrestoration of chiral symmetry. We consider soft pion corrections for quarkcondensates and several possible pairs of chiral partners for both mesons andnucleons and analyse their mixing patterns. We explored both naive and mirrorassignments for the chiral partner of nucleon and discussed possiblephenomenological consequence.

Naive versus mirror assignment at finite density: correlator mixing and chiral symmetry restoration