$D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold

Abstract

$D_s$ mesons are studied in three quantum channels ($J^P=0^{+}$, $1^{+}$ and $2^{+}$), where experiments have identified the very narrow $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$ and narrow $D_{s1}(2536)$, $D_{s2}^{\ast }(2573)$. We explore the effect of nearby $DK$ and $D^{\ast }K$ thresholds on the subthreshold states using lattice QCD. Our simulation is done on two very different ensembles of gauge configurations (2 or 2+1 dynamical quarks, Pion mass of 266 or 156 MeV, lattice size $16^3\times 32$ or $32^3\times 64$). In addition to $\bar{q}q$ operators we also include meson-meson interpolators in the correlation functions. This clarifies the identification of the states above and below the scattering thresholds. The ensemble with $m_{\pi }\simeq 156$MeV renders the $D_{s1}(2460)$ as a strong interaction bound state 44(10)MeV below $D^{\ast }K$ threshold, which is in agreement with the experiment. The $D_{s0}^{\ast }(2317)$ is found 37(17)MeV below $DK$ threshold, close to experiment value of 45MeV. The narrow resonances $D_{s1}(2536)$ and $D_{s2}^{\ast }(2573)$ are also found close to the experimental masses.

17 pages, 9 figures

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Cited by in corpus (25)

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• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• Study of the $Z_c^{+}$ channel using lattice QCD
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
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• Study of the $DK$ interaction with femtoscopic correlation functions
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• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
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• Bound states on the lattice with partially twisted boundary conditions
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• $D_{s0}^{\ast \pm }(2317)$ and $KD$ scattering from $B_s^0$ decay
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$
• Exotic and conventional mesons from lattice
• $DK$ and $D^{\ast }K$ scattering near threshold
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