Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin
High Energy Physics - Phenomenology
2010-04-05 v2
Abstract
We compute the third-order correction to the S-wave quarkonium wave functions |\psi_n(0)|^2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and the ultrasoft correction computed in a companion paper, this completes the third-order calculation up to a few unknown matching coefficients. Numerical estimates of the new correction for bottomonium and toponium are given.
Keywords
Cite
@article{arxiv.0705.4518,
title = {Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin},
author = {M. Beneke and Y. Kiyo and K. Schuller},
journal= {arXiv preprint arXiv:0705.4518},
year = {2010}
}
Comments
12 pages, v2: matches published version, missing factors in eq. (9), (29) added