Joint description of the e+e- annihilation into both four-pion channels

Abstract

The e+e- --> pi+pi-pi0pi0 reaction cross section as a function of the incident energy is calculated using a model that is an extension of our recently published model of the e+e- annihilation into four charged pions. The latter considered the intermediate states with the pi, rho, and a_1 mesons and fixed the mixing angle of the a_1-rho-pi Lagrangian and other parameters by fitting the cross section data. Here we supplement the original intermediate states with those containing omega(782) and h_1(1170), but keep unchanged the values of those parameters that enter both charged and mixed channel calculations. The inclusion of omega is vital for obtaining a good fit to the cross section data, while the intermediate states with h_1 further improve it. Finally, we merge our models of the e+e- --> pi+pi-pi0pi0 and e+e- --> pi+pi-pi+pi- reactions and obtain a simultaneous good fit.

4 pages, 4 figures, fit to new experimental data

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Cited by in corpus (3)

• The Muon g-2
• Vector meson dominance and the pi^0 transition form factor
• Common explanation of the behavior of some $e^{+}{e}^{-}$ annihilation processes around $\sqrt{s}$ = 1.9 GeV