The eta and eta' mesons from lattice QCD

Abstract

Lattice QCD allows a first-principles study of QCD with the freedom to vary the number and masses of the quarks. I present results on the flavour singlet correlations (this illuminates OZI violating effects) for mesons. Concentrating on the pseudoscalar mesons, the flavour singlet mass splitting ($\eta$, ${\eta }^{\prime }$ mass splitting) appears naturally. I also present results on an investigation of decay constants for the $\eta$ and ${\eta }^{\prime }$ ($f_{\eta }$) and discuss which quantities may be accessible in future lattice studies. The Witten-Veneziano approach can also be explored by determining the quenched topological susceptibility on a lattice.

arXiv comment13 pages, LATEX, 3 ps figures, Proc. WORKSHOP ON ETA PHYSICS, Uppsala, October 22-27, 2001

Cited by in corpus (12)

• Observation of String Breaking in QCD
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Instanton Effects in Three Flavor QCD
• Fate of the ${\eta }^{\prime }$ in the Quark Gluon Plasma
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• Computing the eta and eta' Mesons in Lattice QCD
• Measurement of the eta-Meson Mass using psi(2S) --> eta J/psi
• Measurement of the eta'-meson mass using J/psi--> gamma eta'
• The eta ' signal from partially quenched Wilson fermions
• Quenching Effects in the Hadron Spectrum