Spectra of heavy-light mesons in a relativistic model

Abstract

The spectra and wave functions of heavy-light mesons are calculated within a relativistic quark model, which is based on a heavy-quark expansion of the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation. The kernel we choose is the standard combination of linear scalar and Coulombic vector. The effective Hamiltonian for heavy-light quark-antiquark system is calculated up to order $1/m_Q^2$. Our results are in good agreement with available experimental data except for the anomalous $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ states. The newly observed heavy-light meson states can be accommodated successfully in the relativistic quark model with their assignments presented. The $D_{sJ}^{\ast }(2860)$ can be interpreted as the $|1^{3/2}{D}_1⟩$ and $|1^{5/2}{D}_3⟩$ states being members of the 1D family with $J^P=1^{-}$ and $3^{-}$.

arXiv comment13 pages, 2 tables, 4 figures

References in corpus (41)

• The New Heavy Mesons: A Status Report
• Chiral Multiplets of Heavy-Light Mesons
• Implications of a DK Molecule at 2.32 GeV
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• Excited Heavy-Light Systems and Hadronic Transitions
• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model
• Heavy Mesons In A Relativistic Model
• Extended NJL Model for light and heavy mesons without q-qbar thresholds
• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• Observation of a new D_sJ meson in B+->D0BD0K+ decays
• Observation of a New D_s Meson Decaying to D K at a Mass of 2.86 GeV/c^2
• Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method
• Dalitz plot analysis of $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ decays
• Amplitude analysis of $B^{-}\to D^{+}{\pi }^{-}{\pi }^{-}$ decays
• Study of $D_{sJ}$ decays to $D^{\ast }K$ in inclusive $e^{+}{e}^{-}$ interactions
• $B$ and $B_s$ Meson Spectroscopy
• Study of $D_J$ meson decays to $D^{+}{\pi }^{-}$, $D^0{\pi }^{+}$ and $D^{\ast +}{\pi }^{-}$ final states in pp collision
• Canonical Interpretation of the D_{sJ}(2860) and D_{sJ}(2690)
• Spectra and M1 Decay Widths of Heavy-Light Mesons
• First observation of a narrow charm-strange meson DsJ(2632) -> Ds eta and D0 K+
• Observation of overlapping spin-1 and spin-3 ${\bar{D}}^0{K}^{-}$ resonances at mass $2.86\mathrm{GeV}/c^2$
• Mass of D*_sJ(2317) and Coupled Channel Effect
• Spectra of heavy mesons in the Bethe-Salpeter approach
• Effective Meson Lagrangian with Chiral and Heavy Quark Symmetries from Quark Flavor Dynamics
• Study of orbitally excited $B$ mesons and evidence for a new $B\pi$ resonance
• Quantum-Chromodynamic Potential Model for Light-Heavy Quarkonia and the Heavy Quark Effective Theory
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Identifying $D_{sJ}(2700)$ through its decay modes
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Spectroscopy of Heavy Mesons Expanded in 1/m_Q
• Spectrum of Higher excitations of $B$ and $D$ mesons in the relativistic potential model
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Semileptonic and Rare $B$-meson transitions in a QCD relativistic potential model
• Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons
• The Strong Decays of Orbitally Excited $B_{sJ}^{\ast }$ Mesons by Improved Bethe-Salpeter Method
• Decay Constants of $D_{sJ}^{\ast }$(2317) and $D_{sJ}$(2460)
• The Instantaneous Bethe-Salpeter Equation and Its Analog: the Breit-like Equation
• Instantaneous Bethe-Salpeter Kernel for the Lightest Pseudoscalar Mesons
• Heavy-Light Mesons In A Relativistic Model
• Schrödinger Equation for Heavy Mesons Expanded in $1/m_Q$

Cited by in corpus (9)

• Mass spectra and strong decays of charmed and charmed-strange mesons
• Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model
• Concavity of the meson Regge trajectories
• Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Resonant state $D_0^{\ast }(2400)$ in the quasi-two-body $B$ meson decays
• Placing the newly observed state $B_J(5840)$ in bottom spectra along with states $B_1(5721)$, $B_2^{\ast }(5747)$, $B_{s1}(5830)$, $B_{2s}^{\ast }(5840)$ and $B_J(5970)$
• Spectroscopic Assignments of the Excited $B$-Mesons