Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter

Abstract

We point out that the study of the density dependences of the masses of heavy-light mesons give some clues to the chiral symmetry structure in nuclear matter. We include the omega meson effect as well as the sigma meson effect at mean field level on the density dependence of the masses of heavy-light mesons with chiral partner structure. It is found that the omega meson affects the masses of the heavy-light mesons and their antiparticles in the opposite way, while it affects the masses of chiral partners in the same way. This is because the omega meson is sensitive to the baryon number of the light degrees included in the heavy-light mesons. We also show that the mass difference between chiral partners is proportional to the mean field of sigma, reflecting the partial restoration of chiral symmetry in the nuclear matter. In addition to the general illustration of the density dependence of the heavy-light meson masses, we consider two concrete models for nuclear matter, the parity doublet model and skyrmion crystal model in the sense of mean field approximation.

7 pages

References in corpus (3)

• 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
• Inhomogeneous quark condensate in compressed skyrmion matter

Cited by in corpus (13)

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• Casimir effect for nucleon parity doublets
• Interplay between chiral symmetry breaking and the QCD Kondo effect
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• 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
• Interactions of $\omega$-Mesons in Nuclear Matter and with Nuclei
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Chiral effective Lagrangian for heavy-light mesons from QCD