European Physical Journal C: Particles and Fields (Oct 2020)

Study of dynamics of the process $$e^+e^-\rightarrow \pi ^+\pi ^-\pi ^0$$ e + e - → π + π - π 0 in the energy range 1.15–2.00 GeV

  • M. N. Achasov,
  • A. Yu. Barnyakov,
  • A. A. Baykov,
  • K. I. Beloborodov,
  • A. V. Berdyugin,
  • D. E. Berkaev,
  • A. G. Bogdanchikov,
  • A. A. Botov,
  • T. V. Dimova,
  • V. P. Druzhinin,
  • V. B. Golubev,
  • A. N. Kirpotin,
  • L. V. Kardapoltsev,
  • A. S. Kasaev,
  • A. G. Kharlamov,
  • I. A. Koop,
  • A. A. Korol,
  • D. P. Kovrizhin,
  • A. S. Kupich,
  • K. A. Martin,
  • N. A. Melnikova,
  • N. Yu. Muchnoy,
  • A. E. Obrazovsky,
  • E. V. Pakhtusova,
  • K. V. Pugachev,
  • D. V. Rabusov,
  • Yu. A. Rogovsky,
  • Y. S. Savchenko,
  • A. I. Senchenko,
  • S. I. Serednyakov,
  • D. N. Shatilov,
  • Yu. M. Shatunov,
  • D. A. Shtol,
  • D. B. Shwartz,
  • Z. K. Silagadze,
  • I. K. Surin,
  • M. V. Timoshenko,
  • Yu. V. Usov,
  • V. N. Zhabin,
  • V. V. Zhulanov

DOI
https://doi.org/10.1140/epjc/s10052-020-08524-4
Journal volume & issue
Vol. 80, no. 10
pp. 1 – 9

Abstract

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Abstract The dynamics of the process $$ e^+e^- \rightarrow \pi ^+\pi ^-\pi ^0 $$ e + e - → π + π - π 0 is studied in the energy region from 1.15 to 2.00 GeV using data accumulated with the SND detector at the VEPP-2000 $$e^+e^-$$ e + e - collider. The Dalitz plot distribution and $$\pi ^+\pi ^-$$ π + π - mass spectrum are analyzed in a model including the intermediate states $$\rho (770)\pi $$ ρ ( 770 ) π , $$\rho (1450)\pi $$ ρ ( 1450 ) π , and $$\omega \pi ^0$$ ω π 0 . As a result, the energy dependences of the $$\rho (770)\pi $$ ρ ( 770 ) π and $$\rho (1450)\pi $$ ρ ( 1450 ) π cross sections and the relative phases between the $$\rho (770)\pi $$ ρ ( 770 ) π amplitude and the $$\rho (1450)\pi $$ ρ ( 1450 ) π and $$\omega \pi ^0$$ ω π 0 amplitudes are obtained. The $$\rho (1450)\pi $$ ρ ( 1450 ) π cross section has a peak in the energy region of the $$\omega (1650)$$ ω ( 1650 ) resonance (1.55–1.75 GeV). In this energy range the contributions of the $$\rho (770)\pi $$ ρ ( 770 ) π and $$\rho (1450)\pi $$ ρ ( 1450 ) π states are of the same order of magnitude. No resonance structure near 1.65 GeV is observed in the $$\rho (770)\pi $$ ρ ( 770 ) π cross section. We conclude that the intermediate state $$\rho (1450)\pi $$ ρ ( 1450 ) π gives a significant contribution to the decay of $$\omega (1650)\rightarrow \pi ^+\pi ^-\pi ^0$$ ω ( 1650 ) → π + π - π 0 , whereas the $$\rho (770)\pi $$ ρ ( 770 ) π mechanism dominates in the decay $$\omega (1420)\rightarrow \pi ^+\pi ^-\pi ^0$$ ω ( 1420 ) → π + π - π 0 .