Regular Article - Theoretical Physics
Dispersive analysis of ω→3π and ϕ→3π decays
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
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Revised: 26 April 2012
Published online: 25 May 2012
We study the three-pion decays of the lightest isoscalar vector mesons, ω and ϕ, in a dispersive framework that allows for a consistent description of final-state interactions between all three pions. Our results are solely dependent on the phenomenological input for the pion–pion P-wave scattering phase shift. We predict the Dalitz plot distributions for both decays and compare our findings to recent measurements of the ϕ→3π Dalitz plot by the KLOE and CMD-2 collaborations. Dalitz plot parameters for future precision measurements of ω→3π are predicted. We also calculate the ππ P-wave inelasticity contribution from ωπ intermediate states.
© Springer-Verlag / Società Italiana di Fisica, 2012