Charmonium spectrum from quenched QCD on anisotropic lattices

TL;DR

This study computes the charmonium spectrum using quenched QCD on anisotropic lattices, analyzing mass splittings and comparing results with experimental data and previous lattice studies.

Contribution

It provides final results for the charmonium spectrum on anisotropic lattices with improved actions, including analysis of hyperfine splitting and scaling behavior.

Findings

Calculated S- and P-state spectra and excitations

Observed scaling behavior of mass splittings

Compared results with experimental data and prior lattice results

Abstract

We present our final results of the charmonium spectrum in quenched QCD on anisotropic lattices. Simulations are made with the plaquette gauge action and a tadpole improved clover quark action employing $\xi = a_s/a_t = 3$. We calculate the spectrum of S- and P-states and their excitation, and study the scaling behavior of mass splittings. Comparison is made with the experiment and previous lattice results. The issue of hyperfine splitting for different choices of the clover coefficients obtained by Klassen is discussed.