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

M. Beneke; Y. Kiyo; K. Schuller

doi:10.1016/j.nuclphysb.2005.02.028

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 University

Research output: Contribution to journal › Article › peer-review

93 Scopus citations

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 α_s⁵. The numerical impact of these corrections on the upsilon spectrum and the top quark pair production cross section near threshold is estimated.

Original language	English
Pages (from-to)	67-90
Number of pages	24
Journal	Nuclear Physics, Section B
Volume	714
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.02.028
State	Published - 9 May 2005
Externally published	Yes

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10.1016/j.nuclphysb.2005.02.028

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

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 αs5. The numerical impact of these corrections on the upsilon spectrum and the top quark pair production cross section near threshold is estimated.",

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

note = "Funding Information: This work was supported by the DFG Sonderforschungsbereich/Transregio 9 “Computer-gest{\"u}tzte Theoretische Teilchenphysik”. K.S. acknowledges support of the DFG Graduiertenkolleg “Elementarteilchenphysik an der TeV-Skala”. ",

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doi = "10.1016/j.nuclphysb.2005.02.028",

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TY - JOUR

T1 - Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin

AU - Beneke, M.

AU - Kiyo, Y.

AU - Schuller, K.

N1 - Funding Information: This work was supported by the DFG Sonderforschungsbereich/Transregio 9 “Computer-gestützte Theoretische Teilchenphysik”. K.S. acknowledges support of the DFG Graduiertenkolleg “Elementarteilchenphysik an der TeV-Skala”.

PY - 2005/5/9

Y1 - 2005/5/9

N2 - 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 αs5. The numerical impact of these corrections on the upsilon spectrum and the top quark pair production cross section near threshold is estimated.

AB - 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 αs5. The numerical impact of these corrections on the upsilon spectrum and the top quark pair production cross section near threshold is estimated.

UR - http://www.scopus.com/inward/record.url?scp=16344363456&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2005.02.028

DO - 10.1016/j.nuclphysb.2005.02.028

M3 - Article

AN - SCOPUS:16344363456

SN - 0550-3213

VL - 714

SP - 67

EP - 90

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

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

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