Charmonium Spectrum from Quenched Lattice QCD with Tadpole Improvement Action

TL;DR

This paper presents lattice QCD simulations of the charmonium spectrum using quenched approximation and tadpole improvement, achieving results consistent with experimental data after parameter adjustments and rescaling.

Contribution

It introduces a simplified parameter tuning method for charmonium spectrum calculations in quenched lattice QCD with tadpole improvement.

Findings

Results agree with experimental charmonium spectra

Parameter adjustments improve spectral accuracy

Rescaling aligns lattice results with observed data

Abstract

We report here our lattice simulation on the charmonium spectra in the quenched approximation. Because the full adjustment on the nonperturbative parameters such as $C_E$, $C_B$, $m_0a_s$ and $r_s$ needs many calculation time, we only adjust two of them, $m_0a_s$ and $r_s$($\xi_3$ plays this role in the paper) but with some rescale for mass splitting. After the rescale, we find that our results are in agreement with the experiment ones.