Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave

Abstract

We calculate dispersion relations for $\bar{D}(0^{-})$, ${\bar{D}}^{\ast }(1^{-})$, ${\bar{D}}_0^{\ast }(0^{+})$ and ${\bar{D}}_1(1^{+})$ mesons in the Dual Chiral Density Wave (DCDW) where the chiral symmetry is spontaneously broken by inhomogeneous chiral condensate. Employing the Bloch's theorem, we show that all the modes have opposite group velocity to the momentum in the low-momentum region and the energy is minimized at non-zero momentum. Furthermore, the magnitude of momentum which realizes the minimum energy is equal to the wave number of the density wave.

15 pages, 15 figures

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• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
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Cited by in corpus (11)

• Heavy Hadrons in Nuclear Matter
• Structure of charmed baryons studied by pionic decays
• Hidden charm pentaquark states in a diquark model
• Kondo effect in charm/bottom nuclei
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• 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
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Dual chiral density wave induced oscillating Casimir effect
• Mesic nuclei with a heavy antiquark