η and η mesons and dimension 2 gluon condensate A2

Dalibor Kekez and Dubravko Klabučar
Phys. Rev. D 73, 036002 – Published 15 February 2006

Abstract

The study of light pseudoscalar quark-antiquark bound states in the Dyson-Schwinger approach with the effective QCD coupling enhanced by the interplay of the dimension 2 gluon condensate A2 and dimension 4 gluon condensate F2, is extended to the ηη complex. We include the effects of the gluon axial anomaly into the Dyson-Schwinger approach to mesons. The calculated masses, mixing and two-photon decay widths of η and η mesons are in agreement with experiment. Also, in a model-independent way, we give the modification of the Gell-Mann–Okubo and Schwinger nonet relations due to the interplay of the gluon anomaly and SU(3) flavor symmetry breaking.

  • Figure
  • Received 2 December 2005

DOI:https://doi.org/10.1103/PhysRevD.73.036002

©2006 American Physical Society

Authors & Affiliations

Dalibor Kekez1 and Dubravko Klabučar2,*

  • 1Rudjer Bošković Institute, P.O.B. 180, 10002 Zagreb, Croatia
  • 2Department of Physics, Faculty of Science, Zagreb University, Bijenička c. 32, 10000 Zagreb, Croatia

  • *Senior associate of Abdus Salam ICTP.

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Vol. 73, Iss. 3 — 1 February 2006

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