Many pion decays of rho(770) and omega(782) mesons in chiral theory

Abstract

The decays rho(770) to 4 pi and omega(782) to 5pi are considered in detail in the approach based on the Weinberg Lagrangian obtained upon the nonlinear realization of chiral symmetry, added with the term induced by the anomalous Lagrangian of Wess and Zumino. The partial widths and excitation curves of the decays rho^0 to 2 pi^+ 2 pi^-, pi^+ pi^- 2 pi^0, rho^{+-} to 2 pi^{+-} pi^{-+} pi^0, rho^(+-} to pi^(+-} 3 pi^0 are evaluated for e^+e^- annihilation, photoproduction and tau lepton decays. The results of calculations are compared with the recent CMD-2 data on the decay rho^0 to 2 pi^+ 2 pi^- observed in e^+e^- annihilation. The omega to 5 pi decay widths and excitation curves in e^+e^- annihilation are obtained. The angular distributions for various combinations of the final pions in the decays rho to 4 pi and omega to 5 pi are written. The perspectives of the experimental study of the above decays in e^+e^- annihilation, tau lepton decays and photoproduction are discussed.

Revtex, 32 pages including 11 ps figures. Replaced to fit the version published in Phys. Rev. D. Material rearranged, clarifying remarks and references added, typos fixed

References in corpus (3)

• Cross section of the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ below 1 GeV at CMD-2
• Chiral dynamics of many-pion systems
• The decay omega(782) -> 5 pi in chiral theory

Cited by in corpus (7)

• Electron-positron annihilation into four charged pions and the a_1-rho-pi Lagrangian
• Role of a_1(1260) resonance in multipion decays of light vector mesons
• The decays omega(782), phi(1020) to 5 pi in the hidden local symmetry approach
• Pion form factor and reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^- at energies up to 2-3 GeV in the many-channel approach
• Joint description of the e+e- annihilation into both four-pion channels
• Hidden local symmetry and the reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeV
• Multipion decays of omega(782) and phi(1020)