$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD

Abstract

Isospin-1/2 charmed axial-vector $D^{\ast }\pi -D^{\ast }\eta -D_s^{\ast }\bar{K}$ scattering amplitudes are computed, along with interactions in several other $I=1/2$ $J^P$ channels. Using lattice QCD, we work at a light-quark mass corresponding to $m_{\pi }\approx 391$ MeV, where the lowest three-hadron threshold ($D\pi \pi$) lies high enough to enable a rigorous treatment of this system considering only two-hadron scattering channels. At this light-quark mass, an axial-vector $D_1$ bound state is observed just below $D^{\ast }\pi$ threshold, that is strongly coupled to $D^{\ast }\pi$ in a relative $S$-wave and influences a wide energy region up to the $D^{\ast }\eta$ threshold. An axial-vector $D_1^{\prime }$ resonance is observed in the elastic $D^{\ast }\pi$ energy-region, which is coupled more strongly to $D$-wave $D^{\ast }\pi$. A single narrow tensor state is seen in $J^P=2^{+}$ coupled to both $D\pi$ and $D^{\ast }\pi$. In the region where $D^{\ast }\eta$ and $D_s^{\ast }\bar{K}$ are kinematically open, the available energy levels indicate significant $S$-wave interactions. Upon searching this region for poles, several possibilities exist with large uncertainties. One additional state consistently arises, predominantly coupled to the $S$-wave $D^{\ast }\pi -D^{\ast }\eta -D_s^{\ast }\bar{K}$ amplitudes around the upper energy limit of this analysis.

52 pages, 14 figures

References in corpus (22)

• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Excited and exotic charmonium spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Dynamically generated 1^+ heavy mesons
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Axial Resonances in the Open and Hidden Charm Sectors
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Two-pole structures in QCD: Facts, not fantasy!
• Relativistic three-particle quantization condition for nondegenerate scalars
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• Implementing the three-particle quantization condition for ${\pi }^{+}{\pi }^{+}{K}^{+}$ and related systems
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Scalar and tensor charmonium resonances in coupled-channel scattering from QCD
• $DK/D\pi$ scattering and an exotic virtual bound state at the $SU(3)$ flavour symmetric point from lattice QCD
• Three-particle formalism for multiple channels: the $\eta \pi \pi +K\overline{K}\pi$ system in isosymmetric QCD

Cited by in corpus (1)

• Are compact open-charm tetraquarks consistent with recent lattice results?