학술논문
Study of dynamics of the process $e^+e^-\to \pi^+\pi^-\pi^0$ in the energy range 1.15--2.00 GeV
Document Type
Working Paper
Author
SND Collaboration; Achasov, M. N.; Barnyakov, A. Yu.; Baykov, A. A.; Beloborodov, K. I.; Berdyugin, A. V.; Berkaev, D. E.; Bogdanchikov, A. G.; Botov, A. A.; Dimova, T. V.; Druzhinin, V. P.; Golubev, V. B.; Kirpotin, A. N.; Kardapoltsev, L. V.; Kasaev, A. S.; Kharlamov, A. G.; Koop, I. A.; Korol, A. A.; Kovrizhin, D. P.; Kupich, A. S.; Martin, K. A.; Melnikova, N. A.; Muchnoi, N. Yu.; Obrazovsky, A. E.; Pakhtusova, E. V.; Pugachev, K. V.; Rabusov, D. V.; Rogovsky, Yu. A.; Savchenko, Y. S.; Senchenko, A. I.; Serednyakov, S. I.; Shatilov, D. N.; Shatunov, Yu. M.; Shtol, D. A.; Shwartz, D. B.; Silagadze, Z. K.; Surin, I. K.; Timoshenko, M. V.; Usov, Yu. V.; Zhabin, V. N.; Zhulanov, V. V.
Source
Subject
Language
Abstract
The dynamics of the process $ e^+e^- \to \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 $e^+e^-$ collider. The Dalitz plot distribution and $\pi^+\pi^-$ mass spectrum are analyzed in a model including the intermediate states $\rho(770)\pi$, $\rho(1450)\pi$, and $\omega\pi^0$. As a result, the energy dependences of the $\rho(770)\pi$ and $\rho(1450)\pi$ cross sections and the relative phases between the $\rho(770)\pi$ amplitude and the $\rho(1450)\pi $ and $\omega\pi^0$ amplitudes are obtained. The $\rho(1450)\pi$ cross section has a peak in the energy region of the $\omega(1650)$ resonance (1.55-1.75 GeV). In this energy range the contributions of the $\rho(770)\pi$ and $\rho(1450)\pi$ states are of the same order of magnitude. No resonance structure near 1.65 GeV is observed in the $\rho(770)\pi$ cross section. We conclude that the intermediate state $\rho(1450)\pi$ gives a significant contribution to the decay of $\omega (1650)\to\pi^+\pi^-\pi^0$, whereas the $\rho(770)\pi$ mechanism dominates in the decay $\omega(1420)\to\pi^+\pi^-\pi^0$.
Comment: 9 pages, 7 figures, 3 tables
Comment: 9 pages, 7 figures, 3 tables