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

M. Beneke; Y. Kiyo; K. Schuller

doi:10.1016/j.physletb.2007.09.074

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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38 Scopus citations

Abstract

We compute the third-order correction to the S-wave quarkonium wave functions | ψ_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.

Original language	English
Pages (from-to)	222-229
Number of pages	8
Journal	Physics Letters B
Volume	658
Issue number	5
DOIs	https://doi.org/10.1016/j.physletb.2007.09.074
State	Published - 10 Jan 2008
Externally published	Yes

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10.1016/j.physletb.2007.09.074

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title = "Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin",

abstract = "We compute the third-order correction to the S-wave quarkonium wave functions | ψn (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.",

author = "M. Beneke and Y. Kiyo and K. Schuller",

note = "Funding Information: This work is supported by the DFG Sonderforschungsbereich/Transregio 9 “Computergest{\"u}tzte Theoretische Teilchenphysik” and the DFG Graduiertenkolleg “Elementarteilchenphysik an der TeV-Skala”.",

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T1 - Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin

AU - Beneke, M.

AU - Kiyo, Y.

AU - Schuller, K.

N1 - Funding Information: This work is supported by the DFG Sonderforschungsbereich/Transregio 9 “Computergestützte Theoretische Teilchenphysik” and the DFG Graduiertenkolleg “Elementarteilchenphysik an der TeV-Skala”.

PY - 2008/1/10

Y1 - 2008/1/10

N2 - We compute the third-order correction to the S-wave quarkonium wave functions | ψn (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.

AB - We compute the third-order correction to the S-wave quarkonium wave functions | ψn (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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DO - 10.1016/j.physletb.2007.09.074

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VL - 658

SP - 222

EP - 229

JO - Physics Letters B

JF - Physics Letters B

IS - 5

ER -

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

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