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We explore the mass splitting of the heavy-light mesons with chiral partnerstructure in nuclear matter. In our calculation, we employed the heavy hadronchiral perturbation theory with chiral partner structure and the nuclear matteris constructed by putting skyrmions from the standard Skyrme model onto theface-centered cubic crystal and regarding the skyrmion matter as nuclearmatter. We find that, although the masses of the heavy-light mesons with chiralpartner structure are splitted in the matter-free space and skyrmion phase,they are degenerated in the half-skyrmion phase in which the chiral symmetry isrestored globally. This observation suggests that the magnitude of the masssplitting of the heavy-light mesons with chiral partner structure can be usedas a probe of the phase structure of the nuclear matter.

Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase