Chiral effective Lagrangian for excited heavy-light mesons from QCD

Abstract

We derive the chiral effective Lagrangian for excited heavy-light mesons from QCD under proper approximations. We focus on the chiral partners with $j_l^P={\frac{3}{2}}^{+}$ and $j_l^P={\frac{3}{2}}^{-}$ which amounts to ($1^{+},2^{+}$) and ($1^{-},2^{-}$) states respectively. The low energy constants including the masses of the chiral partners are calculated. The calculated spectrum for the excited mesons are found roughly consistent with experimental data. In addition, our results indicate that quantum numbers of $B_J(5970)$ can be identified with $1^{-}$ or $2^{-}$.

arXiv comment7 pages. arXiv admin note: text overlap with arXiv:2012.03733

References in corpus (27)

• A review of the open charm and open bottom systems
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• Properties of Excited Charm and Charm-Strange Mesons
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• Chiral effective action with heavy quark symmetry
• Amplitude analysis of $B^{-}\to D^{+}{\pi }^{-}{\pi }^{-}$ decays
• D* K molecular structure of the Ds1(2460) meson
• Study of $D_J$ meson decays to $D^{+}{\pi }^{-}$, $D^0{\pi }^{+}$ and $D^{\ast +}{\pi }^{-}$ final states in pp collision
• Higher radial and orbital excitations in the charmed meson family
• Study of orbitally excited $B$ mesons and evidence for a new $B\pi$ resonance
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Molecular structure of the Bs0*(5725) and Bs1(5778) bottom-strange mesons
• Derivation of the Effective Chiral Lagrangian for Pseudoscalar Mesons from QCD
• Determination of quantum numbers for several excited charmed mesons observed in $B^{-}\to D^{\ast +}{\pi }^{-}{\pi }^{-}$ decays
• The Quark-Gluon Vertex and the QCD Infrared Dynamics
• Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD
• Analysis of strong decays of charmed mesons $D_2^{\ast }(2460)$, $D_0(2560)$, $D_2(2740)$, $D_1(3000)$, $D_2^{\ast }(3000)$ and their spin partners $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_0^{\ast }(3000)$
• Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach
• Computation of the coefficients for $p^6$ order anomalous chiral Lagrangian
• 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 $B_J(5970)$
• Computation of the $p^6$ order low-energy constants with tensor sources
• Helicity Probabilities For Heavy Quark Fragmentation Into Excited Mesons
• Spectroscopic Assignments of the Excited $B$-Mesons
• Derivation of the effective Chiral Lagrangian for pseudoscalar, scalar, vector and axial-vector mesons from QCD
• Chiral effective Lagrangian for heavy-light mesons from QCD
• Chiral effective Lagrangian for heavy-light mesons from QCD: $1/m_Q$ correction