Eur. Phys. J. C 69, 103-118 (2010)
https://doi.org/10.1140/epjc/s10052-010-1394-3

e ⁺ e ⁻ annihilation to π ⁰ π ⁰ γ and π ⁰ η γ as a source of information on scalar and vector mesons

¹ Budker Institute of Nuclear Physics, Novosibirsk, Russia
² Novosibirsk State University, Novosibirsk, Russia
³ Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 61108, Kharkov, Ukraine
⁴ Institute of Physics, University of Silesia, 40007, Katowice, Poland
⁵ INFN LNF, Frascati (RM), 00044, Italy

ivashin.s@rambler.ru

Received: 10 March 2010
Revised: 12 May 2010
Published online: 5 August 2010

Abstract

We present a general framework for the model-independent decomposition of the fully differential cross section of the reactions e ⁺ e ⁻→γ ^∗→π ⁰ π ⁰ γ and e ⁺ e ⁻→γ ^∗→π ⁰ η γ, which can provide important information on the properties of scalar mesons: f ₀(600), f ₀(980) and a ₀(980). For the model-dependent ingredients in the differential cross section, an approach is developed, which relies on Resonance Chiral Theory with vector and scalar mesons. Numerical results are compared to data. The framework is convenient for development of a Monte Carlo generator and can also be applied to the reaction e ⁺ e ⁻→γ ^∗→π ⁺ π ⁻ γ.