Three-body final state interaction in η →3π

Peng Guo, Igor V. Danilkin, Diane Schott, C. Fernández-Ramírez, V. Mathieu, Adam P. Szczepaniak

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69 Scopus citations


We present a unitary dispersive model for the η→3π decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the η→3π decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for η→π+π-π0. Based on the parameters obtained, we predict the slope parameter for the neutral channel to be α=-0.022±0.004. Through matching to next-to-leading-order chiral perturbation theory, we estimate the quark mass double ratio to be Q=21.4±0.4.

Original languageEnglish (US)
Article number054016
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number5
StatePublished - Sep 11 2015
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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