Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry

Abstract

We investigate the in-medium masses of a $\bar{D}(0^{-})$ meson and a ${\bar{D}}_0^{\ast }(0^{+})$ meson and spectral functions for $\bar{D}$ and ${\bar{D}}_0^{\ast }$ meson channels in nuclear matter. These mesons are introduced as chiral partner in the chiral symmetry broken vacuum, hence they are useful to explore the partial restoration of the broken chiral symmetry in nuclear matter. We consider the linear sigma model to describe the chiral symmetry breaking. Our study shows that the loop corrections to $\bar{D}$ and ${\bar{D}}_0^{\ast }$ meson masses provide a smaller mass splitting at finite density than that in vacuum, whose result indicates a tendency of the restoration of the chiral symmetry. We investigate also the spectral function for ${\bar{D}}_0^{\ast }$ meson channel, and find three peaks. The first peak which corresponds to the resonance of ${\bar{D}}_0^{\ast }$ meson is broadened by collisions with nucleons in medium, and the peak position shifts to lower mass due to the partial restoration of chiral symmetry as the density increases. The second peak is identified as a threshold enhancement which shows a remarkable enhancement as the density increase. The third peak is Landau damping. The obtained properties of $\bar{D}$ and ${\bar{D}}_0^{\ast }$ mesons in nuclear matter will provide useful information for experiments.

21 pages, 15 figures

References in corpus (8)

• Open charm in nuclear matter at finite temperature
• QCD sum rules for D and B mesons in nuclear matter
• Exotic nuclei with open heavy flavor mesons
• Exotic dynamically generated baryons with negative charm quantum number
• More about the $B$ and $D$ mesons in nuclear matter
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Fate of charmed mesons near chiral symmetry restoration in hot matter

Cited by in corpus (13)

• Nuclear-bound quarkonia and heavy-flavor hadrons
• Chiral partner structure of doubly heavy baryons with heavy quark spin-flavor symmetry
• Examination of $N^{\ast }(1535)$ as a probe to observe the partial restoration of chiral symmetry in nuclear matter
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Novel pentaquark picture for singly heavy baryons from chiral symmetry
• Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
• Chiral separation effect catalyzed by heavy impurities
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Nature of the D_0 meson in the D pi scattering with chiral symmetry
• Singly heavy baryons in nuclear matter from an SU(3) chiral soliton model