Precision Charmonium Spectroscopy From Lattice QCD

TL;DR

This paper uses lattice QCD with NRQCD to accurately calculate charmonium energy levels, including excited states and fine structures, showing good agreement with experimental data.

Contribution

It provides detailed charmonium spectra calculations using improved NRQCD methods, including spin interactions and multi-exponential fits, enhancing precision over previous studies.

Findings

Accurate S, P, D state splittings

Precise hyperfine and fine structure values

Good agreement with experimental results

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 $\chi_c$ fine structure. Agreement with experiment is good - the remaining systematic errors are discussed.