The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework

Abstract

Combining the quark model, the quark-pair-creation mechanism and $B^{(\ast )}\bar{K}$ interaction, we have investigated the near-threshold $P$-wave $B_s$ states in the framework of the Hamiltonian effective field theory. With the heavy quark flavor symmetry, all the parameters are determined in the $D_s$ sector by fitting the lattice data. The masses of the bottom-strange partners of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$ are predicted to be $M_{B_{s0}^{\ast }}=5730.2_{-1.5}^{+2.4}$ MeV and $M_{B_{s1}^{\ast }}=5769.6_{-1.6}^{+2.4}$ MeV, respectively, which are well consistent with the lattice QCD simulation. The two $P$-wave $B_s$ states are the mixtures of the bare $\bar{b}s$ core and $B^{(\ast )}\bar{K}$ component. Moreover, we find a crossing point between the energy levels with and without the interaction Hamiltonian in the finite volume spectrum in the $0^{+}$ case, which corresponds to a CDD (Castillejo-Dalitz-Dyson) zero in the $T$-matrix of the $B\bar{K}$ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.

arXiv comment20 pages, 4 figures. Version accepted by JHEP

References in corpus (76)

• Hadronic molecules
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Chiral Multiplets of Heavy-Light Mesons
• A review of the open charm and open bottom systems
• Implications of a DK Molecule at 2.32 GeV
• On heavy-light meson resonances and chiral symmetry
• Dynamically Generated Open and Hidden Charm Meson Systems
• On the Mechanism of Open-Flavor Strong Decays
• 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
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Model for $J/\psi$ absorption in hadronic matter
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• B Decays as Spectroscope for Charmed Four-quark States
• Dynamically generated 1^+ heavy mesons
• Origin of resonances in the chiral unitary approach
• Isoscalar meson spectroscopy from lattice QCD
• Understanding $D_{sJ}(2317)$
• Bottomonium Mesons and Strategies for Their Observation
• Open-charm meson resonances with negative strangeness
• Interactions between heavy mesons and Goldstone bosons from chiral dynamics
• Nucleon Resonances with Hidden Charm in Coupled-Channel Models
• New meson spectroscopy with open charm and beauty
• Comment on the new $D_s^{(\ast )+}{\pi }^0$ resonances
• BABAR resonance as a new window of hadron physics
• Understanding the $D_{sJ}^{+}(2317)$ and $D_{sJ}^{+}(2460)$ with Sum Rules in HQET
• Description of the $D_s^{\ast }(2320)$ resonance as the $D\pi$ atom
• Structure and compositeness of hadron resonances
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Predicting positive parity $B_s$ mesons from lattice QCD
• Decay channels and charmonium mass-shifts
• Charmed-strange mesons revisited: mass spectra and strong decays
• Interplay of quark and meson degrees of freedom in a near-threshold resonance: multi-channel case
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• Different pole structures in line shapes of the $X(3872)$
• Towards a new paradigm for heavy-light meson spectroscopy
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Molecular components in P-wave charmed-strange mesons
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• Hadronic scattering of charmed mesons
• Higher bottom and bottom-strange mesons
• Light meson mass dependence of the positive parity heavy-strange mesons
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• The coupled-channel analysis of the D and D_s mesons
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• D_s (2317) as a four-quark state in QCD sum rules
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
• Excited Charmonium Decays by Flux-Tube Breaking and the ${\psi }^{{}^{\prime }}$ Anomaly at CDF
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Hadron loops effect on mass shifts of the charmed and charmed-strange spectra
• $D_{s0}^{\ast }(2317)$ and $DK$ scattering in $B$ decays from BaBar and LHCb data
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$
• Generalized weak-binding relations of compositeness in effective field theory
• Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state
• Predicting a new resonance as charmed-strange baryonic analog of $D_{s0}^{\ast }(2317)$
• Masses of Scalar and Axial-Vector B Mesons Revisited
• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• The effect of $B\pi$ continuum in the QCD sum rules for the $(0^{+},1^{+})$ heavy meson doublet in HQET
• Revisiting $D_{s0}^{\ast }(2317)$ as a $0^{+}$ tetraquark state from QCD sum rules
• Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• Mass Spectra of Heavy-Light Mesons in Heavy Hadron Chiral Perturbation Theory
• The bottomed strange molecules with isospin 0
• Inverse scattering problem with a bare state

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• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
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• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Bottomonia in an unquenched quark model
• Investigation on the bottom analogs of the $T_{cc}^{+}$