Reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeV

Abstract

The cross section of reaction e^+e^-\toπ^+π^-π^+π^- is calculated for energies 0.65\leq \sqrt{s}\leq1 GeV in the framework of the generalized hidden local symmetry model. The calculations are compared with the data of CMD-2 and BaBaR. It is shown that the inclusion of heavy isovector resonances ρ(1450) and ρ(1700) is necessary for reconciling calculations with the data. It is found that at \sqrt{s}\approx1 GeV the contributions of above resonances are much larger, by the factor of 30, than the ρ(770) one, and are amount to a considerable fraction \sim0.3-0.6 of the latter at \sqrt{s}\sim m_ρ.

arXiv comment4 pages, 3 figures; considerably reduced in size

References in corpus (8)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• The $\epem\toπ^+π^-π^+π^-$, $K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections at Center-of-Mass Energies 0.5--4.5 \gev Measured with Initial-State Radiation
• a_1(1260) dominance in the process e+e- \to 4πat energies 1.05--1.38 GeV
• Cross section of the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ below 1 GeV at CMD-2
• Four-pion production in e+ e- annihilation
• 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

Cited by in corpus (2)

• 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
• Confronting generalized hidden local symmetry chiral model with the ALEPH data on the decay tau^- to pi^+ pi^- pi^- nu_tau