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arxiv: hep-ph/0501289 · v2 · submitted 2005-01-31 · ✦ hep-ph

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Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin

M. Beneke , Y. Kiyo , K. Schuller (RWTH Aachen)
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classification ✦ hep-ph
keywords correctionscoulombenergyfunctionfunctionsgreenlevelsorigin
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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.

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