Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states

Abstract

A novel framework is proposed to extract near-threshold resonant states from finite-volume energy levels of lattice QCD and is applied to elucidate structures of the positive parity $D_s$. The quark model, the quark-pair-creation mechanism and $D^{(\ast )}K$ interaction are incorporated into the Hamiltonian effective field theory. The bare $1^{+}$ $c\bar{s}$ states are almost purely given by the states with heavy-quark spin bases. The physical $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$ are the mixtures of bare $c\bar{s}$ core and $D^{(\ast )}K$ component, while the $D_{s1}^{\ast }(2536)$ and $D_{s2}^{\ast }(2573)$ are almost dominated by bare $c\bar{s}$. Furthermore, our model reproduces the clear level crossing of the $D_{s1}^{\ast }(2536)$ with the scattering state at a finite volume.

7 pages, 3 figures; accepted for publication in Physical Review Letters

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Cited by in corpus (27)

• An updated review of the new hadron states
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• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
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• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• Heavy baryons in the relativized quark model with chromodynamics
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays
• Inverse scattering problem with a bare state
• 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
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Bottomonia in an unquenched quark model
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$
• Unified coupled-channel description for the five near-threshold structures $\psi (3770)$, $G(3900)$, $R(3760)$, $R(3780)$ and $R(3810)$ from $e^{+}{e}^{-}$ annihilation
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity
• Exotic hadrons associated with $b$-quark