Computation of masses of quarkonium bound states using heavy quark potentials from lattice QCD

TL;DR

This paper calculates the masses of bottomonium and charmonium states using a Schrödinger equation with lattice QCD-derived potentials, including relativistic corrections, to improve understanding of heavy quarkonium spectroscopy.

Contribution

It introduces a method to compute quarkonium masses incorporating $1/m$ and $1/m^2$ corrections from lattice QCD potentials, advancing theoretical predictions.

Findings

Masses of bottomonium and charmonium states computed.

Inclusion of relativistic corrections enhances mass accuracy.

Method sets groundwork for studying resonances and tetraquarks.

Abstract

We compute masses of bottomonium and charmonium bound states using a Schr\"odinger equation with a heavy quark-antiquark potential including $1/m$ and $1/m^2$ corrections previously derived in potential Non-Relativistic QCD and computed with lattice QCD. This is a preparatory step for a future project, where we plan to take into account similar corrections to study quarkonium resonances and tetraquarks above the lowest meson-meson thresholds.