$D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter

Abstract

We propose to study the mass spectrum of the heavy-light mesons to probe the structure of the spin-isospin correlation in the nuclear medium. We point out that the spin-isospin correlation in the nuclear medium generates a mixing among the heavy-light mesons carrying different spins and isospins such as $D^{+}$, $D^0$, $D^{\ast +}$, and $D^{\ast 0}$ mesons. We use two types of correlations motivated by the skyrmion crystal and the chiral density wave as typical examples to obtain the mass splitting caused by the mixing. Our result shows that the structure of the mixing reflects the pattern of the correlation, i.e., the remaining symmetry. Furthermore, the magnitude of the mass modification provides information of the strength of the correlation.

5 pages, 4 figures

References in corpus (4)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• In-medium nuclear interactions of low-energy hadrons
• QCD sum rules for D and B mesons in nuclear matter
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter

Cited by in corpus (13)

• Heavy Hadrons in Nuclear Matter
• Structure of charmed baryons studied by pionic decays
• Kondo effect in charm/bottom nuclei
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• Spectroscopy of heavy baryons with breaking of heavy-quark symmetry
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Mesic nuclei with a heavy antiquark