Nonperturbative determination of the QCD potential at O(1/m)

TL;DR

This paper nonperturbatively investigates the relativistic correction to the QCD static potential at order 1/m using lattice QCD, revealing its significance in quarkonium systems like charmonium and bottomonium.

Contribution

First nonperturbative determination of the O(1/m) relativistic correction to the QCD potential via lattice Monte Carlo simulations.

Findings

Relativistic correction is comparable to Coulombic term in charmonium.

Correction is one-fourth of Coulombic term in bottomonium.

Quantitative insight into relativistic effects in quarkonium potentials.

Abstract

The relativistic correction to the QCD static inter-quark potential at O(1/m) is investigated nonperturbatively for the first time by using lattice Monte Carlo QCD simulations. The correction is found to be comparable with the Coulombic term of the static potential when applied to charmonium, and amounts to one-fourth of the Coulombic term for bottomonium.