Charmonium Spectrum from Quenched QCD with Overlap Fermions

TL;DR

This paper reports preliminary lattice QCD results for the charmonium spectrum using overlap fermions, focusing on hyperfine splitting, with findings depending on the scale-setting method.

Contribution

It introduces a study of charmonium spectrum with overlap fermions on quenched lattices, providing new insights into hyperfine splitting calculations.

Findings

Hyperfine splitting estimated at 104(5) MeV using $1ar{P}-1ar{S}$

Hyperfine splitting estimated at 88(4) MeV using $r_0$=0.5 fm

Results are preliminary and depend on scale setting method.

Abstract

We present preliminary results using overlap fermions for the charmonium spectrum, in particular for hyperfine splitting. Simulations are performed on $16^3 \times 72$ lattices, with Wilson gauge action at $\beta=6.3345$. Depending on how the scale is set, we obtain 104(5) MeV (using $1\bar{P}-1\bar{S}$) or 88(4) MeV (using $r_0$=0.5 fm) for the hyperfine splitting.