Determination of Alpha_s(1 GeV) from the charmonium fine structure

Details Determination of Alpha_s(1 GeV) from the charmonium fine structure Determination of Alpha_s(1 GeV) from the charmonium fine structure

1999-01-27

arxiv.org/abs/hep-ph/9901430v1

Phys.Rev. D60 (1999) 116008

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX 8 pages, 1 figure in ps format

Scientific paper

10.1103/PhysRevD.60.116008

The strong coupling constant $\alpha_s(\mu)$ 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 $\alpha_s(\mu)$ at low-energy scale $\mu=1.0 \pm 0.2 GeV$ was found to be $\alpha_s(\mu) = 0.38 \pm 0.03 (exp.) + 0.04 (theor.)$ which is about 50% lower than standard perturbative two-loop approximation and is in good agreement with the freezing $\alpha_s$ behaviour.

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