Eur. Phys. J. A (2011) 47: 103
https://doi.org/10.1140/epja/i2011-11103-7

Regular Article - Theoretical Physics

Processes e⁺e⁻ → π⁰(π⁰′) γ in extended NJL model

¹ Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia
² Department of Higher Mathematics, University of Dubna, 141980, Dubna, Russia

^* e-mail: arbuzov@theor.jinr.ru

Received: 16 June 2011
Revised: 27 July 2011
Accepted: 19 August 2011
Published online: 13 September 2011

Abstract

The processes of electron-positron annihilation into π⁰γ and into π′(1300)γ are considered within an extended NJL model. The intermediate vector mesons ρ ⁰, ω ρ′(1450), and ω(1420) are taken into account. The latter two mesons are treated as the first radial excited states. They are incorporated into the NJL model by means of a polynomial form factor. Numerical predictions for the cross-sections of these processes are received for the center-of-mass energies below 2 GeV. Our results for the π⁰γ production are in agreement with experimental data obtained in the energy region 600–1020 MeV.