Determination ofαs(1 GeV)from the charmonium fine structure

1999/01/27 by А. М. Бадалян, A. M. Badalian, V. L. Morgunov +1 · 2 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.60.116008

published as Phys.Rev. D60 (1999) 116008 · RevTeX 8 pages, 1 figure in ps format

arxiv created 1999/01/27 · openalex publication_date 1999/11/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The strong coupling constant \ensuremathα_s(\ensuremathμ) is extracted from the fits to charmonium spectrum and fine structure splittings. The relativistic kinematics is taken into account and relativistic corrections are shown to increase the matrix elements defining spin effects up to 40%. The value of \ensuremathα_s(\ensuremathμ) at the low-energy scale \ensuremathμ=1.0\ifmmode±\else\textpm\fi0.2 GeV was found to be \ensuremathα_s(\ensuremathμ)=0.38\ifmmode±\else\textpm\fi0.03(exp)+0.04(theor) which is about 50% lower than the standard perturbative two-loop approximation and is in good agreement with the freezing \ensuremathα_s behavior.

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• Restriction on the strong coupling constant in the IR region from the 1D-1P splitting in bottomonium
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