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We study a spectral function for $\bar{D}_0^*$ $(0^+)$ meson in symmetric andneutron-rich asymmetric nuclear matter from the viewpoint of the partialrestoration of chiral symmetry. Nuclear matter is constructed by a paritydoublet model with hidden local symmetry which can reproduce properties atnormal nuclear matter density as well as those in the vacuum. $\bar{D}$ mesonsare introduced by the chiral partner structure. Our results show that a mass of$\bar{D}$ ($0^-$) meson increases while a mass of $\bar{D}_0^*$ meson decreasesat mean field level as we increase the baryon density, reflecting the partialrestoration of chiral symmetry. In the spectral function for $\bar{D}_0^*$meson, we find a threshold enhancement is remarkably enhanced which indicatesthis peak is an appropriate probe to observe the partial restoration of chiralsymmetry in nuclear matter. We also find a resonance of $\bar{D}_0^*$ mesonrevives at higher density due to a narrowing of the phase space. In thespectral function in neutron-rich asymmetric nuclear matter, we observe thethreshold enhancement in negatively-charged $\bar{D}_0^*$ meson channel standsat higher energy and its height is more enhanced compared to neutral$\bar{D}_0^*$ meson channel, due to the violation of isospin symmetry. On theother hand, the resonance of negatively-charged $\bar{D}_0^*$ meson is slightlysuppressed compared to the neutral one.

Spectral function for $\bar{D}_{0}^{\ast}$ $(0^+)$ meson in isospin asymmetric nuclear matter with chiral partner structure