Spin-dependent potentials from lattice QCD

TL;DR

This paper investigates spin-dependent corrections to the static inter-quark potential in SU(3) lattice gauge theory, revealing new features relevant to heavy quarkonium spectra through high-precision lattice calculations.

Contribution

It provides the first detailed lattice QCD study of spin-dependent potentials using Polyakov loop correlators and the multi-level algorithm, uncovering new insights into these corrections.

Findings

Clean signals for spin-dependent corrections up to 0.6 fm

Identification of new features in spin-dependent potentials

Implications for heavy quarkonium fine and hyperfine splittings

Abstract

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented as the field strength correlators on the quark-antiquark source, in SU(3) lattice gauge theory. We use the Polyakov loop correlation function as the quark-antiquark source, and by employing the multi-level algorithm, we obtain remarkably clean signals for these corrections up to intermediate distances of around 0.6 fm. Our observation suggests several new features of the corrections.