A Pattern for the Flavor Dependence of the Quark-Gluon Interaction

Abstract

A flavor dependent kernel is constructed based on the rainbow-ladder truncation of the Dyson-Schwinger and Bethe-Salpeter equation approach of Quantum Chromodynamics. The quark-antiquark interaction is composed of a flavor dependent infrared part and a flavor independent ultraviolet part. Our model gives a successful and unified description of the light, heavy and heavy-light ground pseudoscalar and vector mesons. For the first time, our model shows that the infrared enhanced quark-antiquark interaction is stronger and wider for the lighter quark.

arXiv comment6 pages, 3 figures

References in corpus (39)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Sketching the Bethe-Salpeter kernel
• Interaction model for the gap equation
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Survey of heavy-meson observables
• B-meson decay constants: a more complete picture from full lattice QCD
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Natural constraints on the gluon-quark vertex
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• The quark-gluon vertex in Landau gauge bound-state studies
• Flavour symmetry breaking and meson masses
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• B- to light-meson transition form factors
• Studying the $\rho$ resonance parameters with staggered fermions
• Poincaré-covariant analysis of heavy-quark baryons
• V_cs from D_s to ϕlν semileptonic decay and full lattice QCD
• Charmed mesons with a symmetry-preserving contact interaction
• Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions
• Masses and decay constants of $D_{(s)}^{\ast }$ and $B_{(s)}^{\ast }$ mesons in Lattice QCD with $N_f=2+1+1$ twisted-mass fermions
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Exploring the Quark-Gluon Vertex with Slavnov-Taylor Identities and Lattice Simulations
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• Soft and Hard scale QCD Dynamics in Mesons

Cited by in corpus (15)

• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• $B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach
• Bethe-Salpeter kernel and properties of strange-quark mesons
• Heavy-light mesons beyond ladder approximation
• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Exploring the flavor content of light and heavy-light pseudoscalars
• Excited $B_c$ States via Continuum QCD
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• A comprehensive approach to the physics of mesons
• The rainbow modified-ladder approximation and degenerate pion
• The Radial Excited Heavy Mesons
• Extracting a model quark propagator's spectral density
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework