Radiative Transitions in Charmonium from Lattice QCD

Abstract

The coupling of various charmonium mesons to a photon is studied using lattice QCD, giving access to radiative form factors and transitions, and probing the mesons' structure. Methods are developed which allow the robust determination of amplitudes, including those involving an excited state as well as multiple form factors, for a range of kinematics. These are applied in dynamical lattice QCD calculations using the distillation technique to compute the underlying three-point correlation functions. Form factors and amplitudes involving the low-lying charmonia, ${\eta }_c$, $J/\psi$, ${\chi }_{c0}$ and ${\eta }_c^{\prime }$, are calculated, demonstrating the methods and providing the first dynamical lattice QCD results for some quantities.

39 pages, 15 figures, small changes to match published version

References in corpus (31)

• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• The Chroma Software System for Lattice QCD
• Shrinkage Algorithms for MMSE Covariance Estimation
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Scattering processes and resonances from lattice QCD
• The Exotic XYZ Charmonium-like Mesons
• 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
• Radiative Transitions in Charmonium from Lattice QCD
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Charmonium excited state spectrum in lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• Exotic and excited-state radiative transitions in charmonium from lattice QCD
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Excited spectroscopy of charmed mesons from lattice QCD
• Helicity operators for mesons in flight on the lattice
• Lattice QCD study of the radiative decays $J/\psi \to {\eta }_c\gamma$ and $h_c\to {\eta }_c\gamma$
• The resonant ${\pi }^{+}\gamma \to {\pi }^{+}{\pi }^0$ amplitude from Quantum Chromodynamics
• Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses
• The $b_1$ resonance in coupled $\pi \omega$, $\pi \varphi$ scattering from lattice QCD
• Dynamically-coupled partial-waves in $\rho \pi$ isospin-2 scattering from lattice QCD
• Charm annihilation effects on the hyperfine splitting in charmonium
• Radiative transitions in charmonium from $N_f=2$ twisted mass lattice QCD
• Study of the pseudoscalar glueball in $J/\psi$ radiative decays
• Excited and exotic bottomonium spectroscopy from lattice QCD
• Measurement of $J/\psi \to \gamma {\eta }_{\mathrm{c}}$ decay rate and ${\eta }_{\mathrm{c}}$ parameters at KEDR
• Lattice QCD estimate of the ${\eta }_c(2S)\to J/\psi \gamma$ decay rate

Cited by in corpus (2)

• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Lattice study of $J/\psi \to \gamma {\eta }_c$ using a method without momentum extrapolation