Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together with the known non-Coulomb correction this results in the complete spectrum of S-states up to order alpha_s^5. The numerical impact of these corrections on the Upsilon spectrum and the top quark pair production cross section near threshold is estimated.
Keywords
Cite
@article{arxiv.hep-ph/0501289,
title = {Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin},
author = {M. Beneke and Y. Kiyo and K. Schuller},
journal= {arXiv preprint arXiv:hep-ph/0501289},
year = {2008}
}
Comments
24 pages, LaTeX, v2: eq.(30) corrected (-13/8->-15/8)