Dynamic Properties of Charmonium

Abstract

Nonrelativistic quark models of charmonia are tested by comparison of theoretical charmonium decay constants, form factors, and $\gamma \gamma$ widths with experiment and lattice gauge computations. The importance of relativistic effects, a running coupling, and the correct implementation of bound state effects are demonstrated. We describe how an improved model and computational techniques resolve several outstanding issues in previous nonrelativistic quark models such as the use of `correction' factors in quark model form factors, artificial energy prescriptions in decay constant calculations, and ad hoc phase space modifications. We comment on the small experimental value of $f_{{\psi }^{\prime \prime }}$ and the D-wave component of the $J/\psi$. Decay constants and $\gamma \gamma$ widths for bottomonium are also presented.

22 pages, 22 ps figures (table entries corrected, text modified)

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Cited by in corpus (57)

• A review of the open charm and open bottom systems
• 50 Years of Quantum Chromodynamics
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• Lattice QCD and QCD Sum Rule determination of the decay constants of eta_c, J/psi and hc states
• $B$ and $B_s$ Meson Spectroscopy
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• Two Photon Decays of Charmonia from Lattice QCD
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Spectroscopy and Decay properties of the charmonium
• Mind the gap
• Annihilation Rate of $2^{++}$ Charmonium and Bottomonium
• The decay constant of the first excited pion from lattice QCD
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• Annihilation Rate of Heavy $0^{-+}$ Quarkonium in Relativistic Salpeter Method
• Radiative transitions in charmonium from $N_f=2$ twisted mass lattice QCD
• Two-photon and two-gluon decays of p-wave heavy quarkonium using a covariant light-front approach
• Decay rates of charmonia within a quark-antiquark confining potentials
• Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model
• Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme
• Two-Photon, Two-gluon and Radiative Decays of Heavy Flavoured Mesons
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• K-matrix Analysis of $e^{+}{e}^{-}$ Annihilation in the Bottomonium Region
• Meson and glueball spectra with the relativistic flux tube model
• Thermal QCD Sum Rules Study of Vector Charmonium and Bottomonium States
• Di-electron and two-photon widths in charmonium
• Two-photon width of eta_b, eta'_b and eta''_b from Heavy-Quark Spin Symmetry
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• Higher Hybrid Bottomonia in an Extended Potential Model
• Towers of hybrid mesons
• The $\rho (1S,2S)$, $\psi (1S,2S)$, ${\rm Y}(1S,2S)$ and ${\psi }_t(1S,2S)$ mesons in a double pole QCD Sum Rule
• Measurement of Γ_{ee}(J/ψ)*Br(J/ψ->e^+e^-) and Γ_{ee}(J/ψ)*Br(J/ψ->μ^+μ^-)
• Chi_b(3P) splitting predictions in potential models
• η_b and η_c radiative decays in the Salpeter model with the AdS/QCD inspired potential
• Charmonium spectrum in an unquenched quark model
• Light Hybrid Meson Mixing and Phenomenology
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Tetraquark states in the bottom sector and the status of the $Y_b$(10890) state
• Decay Properties of Conventional and Hybrid Charmonium Mesons
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• Meson spectroscopy and properties using Dyson-Schwinger equations
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Two-photon decay of pseudoscalar quarkonia
• The Radial Excited Heavy Mesons
• Measurement of ${\Gamma }_{ee}\times {\mathcal{B}}_{\mu \mu }$ for $\psi (2S)$ meson
• Shedding light on charmonium
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• The Properties of Radially Excited Charmonia in The Light Front Quark Model
• Analytical Forms for Cross Sections of Di-lepton Production from $e^{+}{e}^{-}$ Collisions around the $J/\psi$ Resonance
• Mass spectroscopy of charmonium using a screened potential
• Spin splitting spectroscopy of heavy quark anti quark systems
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC