Study of dynamics of the process in the energy range 1.15–2.00 GeV - SND Collaboration

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:10.1140/epjc/s10052-020-08524-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 993
https://doi.org/10.1140/epjc/s10052-020-08524-4

Regular Article – Experimental Physics

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

SND Collaboration

M. N. Achasov¹^,2, A. Yu. Barnyakov¹^,2, A. A. Baykov¹^,2, K. I. Beloborodov¹^,2, A. V. Berdyugin¹^,2, D. E. Berkaev¹^,2, A. G. Bogdanchikov¹, A. A. Botov¹, T. V. Dimova¹^,2^j, V. P. Druzhinin¹^,2, V. B. Golubev¹, A. N. Kirpotin¹, L. V. Kardapoltsev¹^,2, A. S. Kasaev¹, A. G. Kharlamov¹^,2, I. A. Koop¹^,2, A. A. Korol¹^,2, D. P. Kovrizhin¹, A. S. Kupich¹, K. A. Martin¹, N. A. Melnikova¹, N. Yu. Muchnoy¹^,2, A. E. Obrazovsky¹, E. V. Pakhtusova¹, K. V. Pugachev¹^,2, D. V. Rabusov¹, Yu. A. Rogovsky¹^,2, Y. S. Savchenko¹^,2, A. I. Senchenko¹^,2, S. I. Serednyakov¹^,2, D. N. Shatilov¹, Yu. M. Shatunov¹^,2, D. A. Shtol¹, D. B. Shwartz¹^,2, Z. K. Silagadze¹^,2, I. K. Surin¹, M. V. Timoshenko¹, Yu. V. Usov¹, V. N. Zhabin¹ and V. V. Zhulanov¹^,2

¹ Budker Institute of Nuclear Physics, SB RAS, 630090, Novosibirsk, Russia
² Novosibirsk State University, 630090, Novosibirsk, Russia

^j baiert@inp.nsk.su

Received: 30 July 2020
Accepted: 6 October 2020
Published online: 27 October 2020

Abstract

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

© The Author(s) 2020

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