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