Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD

Abstract

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those resembling a $q\bar{q}$ construction and those resembling a pair of mesons with relative momentum, a reliable excited-state spectrum can be obtained. Working at $m_{\pi }=391\mathrm{MeV}$, we find a gradual increase in the $J^P=0^{+}$ $\pi K$ phase-shift which may be identified with a broad scalar resonance that couples strongly to $\pi K$ and weakly to $\eta K$. The low-energy behavior of this amplitude suggests a virtual bound-state that may be related to the $\kappa$ resonance. A bound state with $J^P=1^{-}$ is found very close to the $\pi K$ threshold energy, whose coupling to the $\pi K$ channel is compatible with that of the experimental $K^{\star }(892)$. Evidence is found for a narrow resonance in $J^P=2^{+}$. Isospin--3/2 $\pi K$ scattering is also studied and non-resonant phase-shifts spanning the whole elastic scattering region are obtained.

32 pages, 27 figures - replaced to better match version appearing in PRD. Previously incorrect JLab preprint number also corrected

References in corpus (18)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Excited and exotic charmonium spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Charmonium excited state spectrum in lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• The phase-shift of isospin-2 pi-pi scattering from lattice QCD
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• The role of P-wave inelasticity in J/psi to pi+pi-pi0
• A comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data

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