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arXiv · 0705.4518

Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin

M. Beneke·Y. Kiyo·K. Schuller
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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.

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M. Beneke, Y. Kiyo, K. Schuller. 2007-05-31. Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin. https://doi.org/10.1016/j.physletb.2007.09.074

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