Study of Dynamics of the Process $${e^{+}e^{-}\to}{\pi^{+}\pi^{-}\pi^{0}}$$ in the Energy Range between 1.075 and 1.975 GeV

作者：М. Н. Ачасов, A. Barnyakov, K. Beloborodov, D. E. Berkaev, A. V. Berdyugin, A. G. Bogdanchikov, A. A. Botov, V. S. Denisov, T. Dimova, В. П. Дружинин, V. N. Zhabin, V. V. Zhulanov, I. M. Zemlyansky, L. Kardapoltsev, A. A. Kattsin, A. N. Kirpotin, D. P. Kovrizhin, I. A. Koop, A. A. Korol, A. Kupich, A. P. Krukov, N. A. Melnikova, N. Yu. Muchnoi, A. E. Obrazovsky, Е. В. Пахтусова, E. A. Perevedentsev, К. В. Пугачев, Yu. A. Rogovsky, S. I. Serednyakov, З. К. Силагадзе, I. K. Surin, M. V. Timoshenko, Y. Usov, L. B. Fomin, A. G. Kharlamov, Yu. M. Shatunov, D. A. Shtol, E. A. Éminov · 发表于：Physics of Atomic Nuclei · 年份：2024 · DOI：10.1134/s1063778824700728 · 被引用次数：2 · 研究领域：Particle physics theoretical and experimental studies、Quantum Chromodynamics and Particle Interactions、High-Energy Particle Collisions Research

The process $$e^{+}e^{-}\to\pi^{+}\pi^{-}\pi^{0}$$ was studied in the energy range between 1.075 and 1.975 GeV on the basis of data characterized by an integrated luminosity of about 70 pb $${}^{-1}$$ that were accumulated in an experiment with the Spherical Neutral Detector (SND) at the VEPP-2000 $$e^{+}e^{-}$$ collider. The respective Dalitz distributions were analyzed within a model that includes $$\rho(770)\pi$$ , $$\rho(1450)\pi$$ , and $$\omega\pi^{0}$$ intermediate states. As a result, the energy dependences of the total cross section for the process $$e^{+}e^{-}\to\pi^{+}\pi^{-}\pi^{0}$$ and the cross sections for the $$\rho(770)\pi$$ and $$\rho(1450)\pi$$ intermediate states were measured along with the phase shift of the $$\rho(770)\pi$$ amplitude with respect to the $$\rho(1450)\pi$$ and $$\omega\pi^{0}$$ amplitudes. For the first time, a simultaneous approximation of the cross sections for the processes $$e^{+}e^{-}\to\rho(770)\pi$$ and $$\rho(1450)\pi$$ and the relative phase of the respective final states was performed on the basis of the vector-meson dominance model. The contributions of the $$\omega$$ , $$\phi$$ , $$\omega(1420)$$ , and $$\omega(1650)$$ resonances were taken into account. The approximation showed that the decay $$\omega(1650)\to\pi^{+}\pi^{-}\pi^{0}$$ proceeds predominantly through the $$\rho(1450)\pi$$ intermediate state, while the decay $$\omega(1420)\to\pi^{+}\pi^{-}\pi^{0}$$ receives a dominant contribution from the $$\rho(770)\pi$$ mechan...