The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry

Abstract

We probe effects of the partial chiral symmetry restoration to the mass of heavy-light mesons in a constituent quark model by changing the constituent quark mass of the light quark. Due to the competing effect between the quark mass and the linearly rising potential, whose contribution to the energy increases as the quark mass decreases, the heavy-light meson mass has a minimum value near the constituent quark mass typically used in the vacuum. Hence, the meson mass increases as one decreases the constituent quark mass consistent with recent QCD sum rule analyses, which show an increasing $D$ meson mass as the chiral order parameter decreases.

4 pages, 4 figures

References in corpus (9)

• QCD sum rules for D and B mesons in nuclear matter
• Dibaryons in a constituent quark model
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Analysis of the heavy mesons in the nuclear matter with the QCD sum rules
• More about the $B$ and $D$ mesons in nuclear matter
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Properties of $J/\psi$ at $T_c$: QCD second-order Stark effect
• Fate of charmed mesons near chiral symmetry restoration in hot matter
• Chiral and U_A(1) symmetry in correlation functions in medium

Cited by in corpus (13)

• Heavy Hadrons in Nuclear Matter
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Heavy meson spectroscopy under strong magnetic field
• 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
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• ${\eta }_c$-nucleus bound states
• D meson mass and heavy quark potential at finite temperature
• MESON2016 -- Concluding Remarks
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• QCD sum rules for the neutron, $\Sigma$, and $\Lambda$ in neutron matter
• Chiral-partner D mesons in a heat bath within QCD sum rules
• Heavy-heavy and heavy-light mesons in cold nuclear matter