Heavy quarkonium spectroscopy in pNRQCD with lattice QCD input

TL;DR

This paper uses lattice QCD to compute the potential in pNRQCD and investigates charmonium and bottomonium spectra, highlighting the importance of relativistic corrections for matching experimental data.

Contribution

It introduces a systematic analysis of relativistic corrections in heavy quarkonium spectra using lattice QCD inputs within the pNRQCD framework.

Findings

Mass spectra agree well with experimental data

O(1/m) correction significantly impacts results

Relativistic corrections improve spectral predictions

Abstract

The charmonium and bottomonium mass spectra are investigated in potential nonrelativistic QCD (pNRQCD) with the heavy quark potential computed by lattice QCD simulations. The potential consists of a static potential and relativistic corrections classified in powers of the inverse of heavy quark mass m, and the effects of the O(1/m) and O(1/m^{2}) spin-orbit corrections on the mass spectra are examined systematically. The pattern of the mass spectra is found to be in fairly good agreement with experimental data, in which the O(1/m) correction gives an important contribution.