Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ from 0.98 to 1.38 GeV.}

Abstract

The cross section of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ was measured in the Spherical Neutral Detector experiment at the VEPP-2M collider in the energy region $\sqrt[]{s}=980÷1380$ MeV. The measured cross section, together with the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\omega {\pi }^{+}{\pi }^{-}$ cross sections obtained in other experiments, was analyzed in the framework of the generalized vector meson dominance model. It was found that the experimental data can be described by a sum of $\omega$, $\varphi$ mesons and two ${\omega }^{\prime }$ and ${\omega }^{\prime \prime }$ resonances contributions, with masses $m_{{\omega }^{\prime }}\sim 1490$,$m_{{\omega }^{\prime \prime }}\sim 1790$ MeV and widths ${\Gamma }_{{\omega }^{\prime }}\sim 1210$, ${\Gamma }_{{\omega }^{\prime \prime }}\sim 560$ MeV. The analysis of the ${\pi }^{+}{\pi }^{-}$ invariant mass spectra in the energy region $\sqrt[]{s}$ from 1100 to 1380 MeV has shown that for their descriptionone should take into account the $e^{+}{e}^{-}\to \omega {\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ mechanism also. The phase between the amplitudes corresponding to the $e^{+}{e}^{-}\to \omega \pi$ and $e^{+}{e}^{-}\to \rho \pi$ intermediate states was measured for the first time. The value of the phase is close to zero and depends on energy.

29 pages REVTEX and 17 figures, accepted for publication in Physical Review D

References in corpus (10)

• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Spherical Neutral Detector for VEPP-2M collider
• Measurements of the parameters of the $\varphi (1020)$ resonance through studies of the processes $e^{+}{e}^{-}\to K^{+}{K}^{-}$, $K_S{K}_L$ and ${\pi }^{+}{\pi }^{-}{\pi }^0$
• a_1(1260) dominance in the process e+e- \to 4πat energies 1.05--1.38 GeV
• The process $e^{+}{e}^{-}\to \omega {\pi }^0\to {\pi }^0{\pi }^0\gamma$ up to 1.4 GeV
• Resonant Structure of $\tau \to 3\pi {\pi }^0{\nu }_{\tau }$ and $\tau \to \omega \pi {\nu }_{\tau }$ Decays
• The process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy range 2E_0=1.04 - 1.38 GeV
• Study of the $\pi \pi$ mass spectra in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ at $\sqrt[]{s}\simeq 1020$ MeV
• Measuring the finite width and unitarity corrections to the phi-omega mixing amplitude
• On the masses, branching ratios, and full widths of heavy rho', rho'' and omega', omega'' resonances

Cited by in corpus (36)

• The anomalous magnetic moment of the muon in the Standard Model
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Constituent quark model study of the meson spectra
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Study of e+e- --> pi+ pi- pi0 process using initial state radiation with BABAR
• Dispersive analysis of the pion transition form factor
• The anomalous magnetic moment of the muon in the Standard Model: an update
• The SM prediction of g-2 of the muon
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Dark Forces and Light Dark Matter
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ below 0.98 GeV
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• Hadron Production via e+e- Collisions with Initial State Radiation
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• Study of the Process e+ e- --> omega pi0 --> pi0 pi0 gamma in c.m. Energy Range 920--1380 MeV at CMD-2
• Dalitz plot analysis of e+ e- --> pi0 pi0 gamma events at SQRT(s) ~ M(phi) with the KLOE detector
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• All-orders infrared freezing of observables in perturbative QCD
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• What can we learn about light-meson interactions at electron-positron colliders?
• Testing The Light Dark Matter Hypothesis With AMS
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• A Global Treatment Of VMD Physics Up To The phi: II. tau Decay and Hadronic Contributions To g-2
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Electromagnetic form factors of charged and neutral kaons in an extended vector-meson-dominance model
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section in the energy range 0.62-3.50 GeV at Belle II
• Production of ${\pi }^0{\rho }^0$ pair in electron-positron annihilation in the Nambu-Jona-Lasinio model
• LHC Lifetime Frontier and Visible Decay Searches in Composite Asymmetric Dark Matter Models
• Recent results from e+ e- --> hadrons
• $\rho -\omega$ Mixing in $J/\psi \to VP$ Decays
• CMD-2 and SND results on the rho, omega and phi