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

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

2007-05-31

arxiv.org/abs/0705.4518v2

Phys.Lett.B658:222-229,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, v2: matches published version, missing factors in eq. (9), (29) added

Scientific paper

10.1016/j.physletb.2007.09.074

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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