Precision charmonium spectroscopy from lattice QCD

Abstract

We present results for Charmonium spectroscopy using Non-Relativistic QCD (NRQCD). For the NRQCD action the leading order spin-dependent and next to leading order spin-independent interactions have been included with tadpole-improved coefficients. We use multi-exponential fits to multiple correlation functions to extract ground and excited S states. Splittings between the lowest S, P and D states are given and we have accurate values for the S state hyperfine splitting and the χ c fine structure. Agreement with experiment is good -the remaining systematic errors are discussed.

Bc spectroscopy from lattice QCD

“…[2] and [3]. Relativistic corrections O(M Q v 4 ) have been included for both quarks -errors are then at the level of O(M c v 6 c ).…”

“…We have recently given accurate results for bottomonium and charmonium spectroscopy on the lattice [2,3], exploiting the non-relativistic nature of these systems by using a non-relativistic effective theory, NRQCD [4]. This can be systematically matched to full QCD, order by order in α s and v 2 /c 2 , where v is the velocity of the heavy quark in the bound state.…”

Heavy quarkonia at high temperature

“…The proposed method is based on the formalism of non-relativistic QCD [18] and a discretization of quantum field theories at finite temperature on anisotropic lattices [19][20][21]. NRQCD is an effective theory that has been successfully applied to bottomonium and charmonium at zero temperature [11,12]. It allows an efficient and accurate calculation of heavy quark propagators.…”

“…Recently a nonrelativistic approximation of QCD has been used to reproduce the experimental spectrum for heavy quarkonia with high precision [11,12].…”

The heavy hadron spectrum

“…It has been clear all along that charmonium is much more relativistic; with the NRQCD approach we can directly see the effects of higher order relativistic corrections to the Lagrangian. A calculation with the Lagrangian of equation 22 has errors at O(m Q v 6 ) as discussed earlier (Davies et al (1995b)). This gives an error of around 30MeV which is 30% for spin splittings.…”