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Resolution of the SU(3) Puzzle: Γ(ηγγ)Γ(π0γγ)

Ephraim Fischbach and Michael Martin Nieto*

Henry Primakoff

C. K. Scott

  • Physics Department, Purdue University, Lafayette, Indiana 47907

  • Physics Department, University of Pennsylvania, Philadelphia, Pennsylvania 19104

  • Physics Department, McMaster University, Hamilton, Ontario, Canada

  • *Address from September 1972: Los Alamos Scientific Laboratory, Los Alamos, N. Mex. 87544.

Phys. Rev. Lett. 29, 1046 – Published 9 October, 1972

DOI: https://doi.org/10.1103/PhysRevLett.29.1046

Abstract

Using the Duffin-Kemmer-Petiau (DKP) description of mesons, we are able to render simple SU(3) theory consistent with the supposedly "large" experimental value of Γ(ηγγ)Γ(π0γγ)=129±33. After discussing ηη mixing we make a prediction [uncertain because of large errors in Γtotexpt(π0) and Γtotexpt(η)] of ΓDKP(ηγγ)=0.320.32+0.99 keV. This is at least 1-2 orders of magnitude lower than the Klein-Gordon (KG) prediction, ΓKG(ηγγ)=52±24 keV, which in fact is almost ruled out by upper limits set by recent experiments.

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