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Two-photon decays of \(\pi^0\), \(\eta\) and \(\eta'\)

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Abstract.

We investigate the decays of \(\pi^0, \eta\) and \(\eta'\) into two photons in an effective U(3) chiral Lagrangian approach without employing large-\(N_{\rm c}\) arguments. Tree level and one-loop contributions from the anomalous Wess-Zumino-Witten Lagrangian are calculated and the importance of \(\eta\)-\(\eta'\) mixing is discussed. Unitarity corrections beyond one loop play an important role for the decays with off-shell photons and are included by employing a coupled-channel Bethe-Salpeter equation which satisfies unitarity constraints and generates vector mesons from composed states of two pseudoscalar mesons.

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Authors and Affiliations

  1. Physik Department, Technische Universität München, D-85747, Garching, Germany

    B. Borasoy & R. Nißler

Authors
  1. B. Borasoy
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  2. R. Nißler
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Correspondence to B. Borasoy.

Additional information

Communicated by U.-G. Meißner

Received: 15 August 2003, Revised: 9 October 2003, Published online: 5 February 2004

PACS:

12.39.Fe Chiral Lagrangians - 13.40.Hq Electromagnetic decays

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Borasoy, B., Nißler, R. Two-photon decays of \(\pi^0\), \(\eta\) and \(\eta'\) . Eur. Phys. J. A 19, 367–382 (2004). https://doi.org/10.1140/epja/i2003-10140-1

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  • DOI: https://doi.org/10.1140/epja/i2003-10140-1

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