Chiral Doubling of Heavy-Light Hadrons and the Vector Manifestation of Hidden Local Symmetry

Abstract

Starting with a hidden local symmetry Lagrangian at the vector manifestation (VM) fixed point that incorporates heavy-quark symmetry and matching the bare theory to QCD, we calculate the splitting of chiral doublers of heavy-light mesons proposed by Nowak, Rho and Zahed, and Bardeen and Hill. We show, in the three-flavor chiral limit, that the splitting is directly proportional to the light-quark condensate <\bar{q}q> and comes out to be \sim (1/3) m_N where m_N is the nucleon mass, implying that the splitting vanishes in the chiral limit at the chiral restoration point -- temperature T_c, density n_c or number of flavors N_F^c. The result turns out to be surprisingly simple with the vector (ρ) meson playing the crucial role in quantum corrections, pointing to the relevance of the VM to QCD in the way chiral symmetry is manifested in hadronic matter. We also make predictions on the hadronic decay processes of the excited heavy (charm) -light mesons \tilde{D}.

arXiv comment28 pages, 3 figure, sectionalized, added several new analyses including an analysis on the decay processes of excited heavy mesons

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Cited by in corpus (28)

• A review of the open charm and open bottom systems
• Can the X(3872) be a 1^{++} four-quark state?
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Heavy Hadrons in Nuclear Matter
• Chiral partner structure of doubly heavy baryons with heavy quark spin-flavor symmetry
• Radial Excitations of Heavy Mesons
• Study of Strangeness Condensation by Expanding About the Fixed Point of the Harada-Yamawaki Vector Manifestation
• 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
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Doubly heavy baryons with chiral partner structure
• Degeneracy of doubly heavy baryons from heavy quark symmetry
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Suppression of decay widths in singly heavy baryons induced by the $U_A(1)$ anomaly
• Effect of sigma meson on the $D_1(2430)\to D\pi \pi$ decay
• STAR ${\rho }^0/{\pi }^{-}$ Ratio in Au-Au Peripheral Collisions at RHIC and the Vector Manifestation of Hidden Local Symmetry
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Chiral partner structure of heavy baryons from the bound state approach with hidden local symmetry
• Chiral-partner D mesons in a heat bath within QCD sum rules
• Correlations between light and heavy flavors near the chiral crossover
• Structure of Mass Gap between Two Spin Multiplets
• Kaon-Soliton Bound State Approach to the Pentaquark States
• Pentaquarks, Skyrmions and the Vector Manifestation of Chiral Symmetry
• Selected Issues in Thermal Field Theory
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• Thermal Dilepton Production from Dropping rho in the Vector Manifestation
• Vector Manifestation and the Hidden Local Symmetry
• Chiral Symmetry of Heavy-Light-Quark Hadrons in Hot/Dense Matter