English

Three-loop Static QCD Potential in Heavy Quarkonia

High Energy Physics - Phenomenology 2013-08-28 v3

Abstract

We investigate the effects of including the full three-loop QCD correction to the static short distance 1/r1/r potential on the spectroscopy and decays in the charmonium and upsilon systems. We use a variational technique with the full three-loop corrected potential to determine a set of unperturbed trial wave functions and treat the relativistic and one-loop corrections as perturbations. The perturbed results are compared to the subset of the charmonium and upsilon spectra using a χ2\chi^2 test. This approach results in more accurate descriptions of the hyperfine splittings in both the bbˉb\bar{b} and ccˉc\bar{c} systems.

Keywords

Cite

@article{arxiv.1211.6373,
  title  = {Three-loop Static QCD Potential in Heavy Quarkonia},
  author = {Wayne W. Repko and Marco D. Santia and Stanley F. Radford},
  journal= {arXiv preprint arXiv:1211.6373},
  year   = {2013}
}

Comments

New title, 7 pages, 5 tables,additional references

R2 v1 2026-06-21T22:44:56.339Z