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Measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ cross section in the energy region from 0.56 to 1.1 GeV with the SND detector

M. N. Achasov^1,2, A. E. Alizzi^1,2, A. Yu. Barnyakov¹, K. I. Beloborodov^1,2, A. V. Berdyugin^1,2, D. E. Berkaev^1,2, A. G. Bogdanchikov¹, A. A. Botov¹, V. S. Denisov¹ et al.

T. V. Dimova^1,2, V. P. Druzhinin ^1,2,*, R. A. Efremov^1,3, E. A. Eminov¹, L. B. Fomin¹, L. V. Kardapoltsev^1,2, A. A. Kattsin¹, A. G. Kharlamov^1,2, I. A. Koop^1,2, A. A. Korol^1,2, D. P. Kovrizhin¹, A. S. Kupich^1,2, A. P. Kryukov¹, N. A. Melnikova¹, N. Yu. Muchnoi^1,2, A. E. Obrazovsky¹, A. A. Oorzhak^1,2, I. V. Ovtin^1,2, E. V. Pakhtusova¹, E. A. Perevedentsev^1,2, I. A. Polomoshnov^1,2, K. V. Pugachev^1,2, Yu. A. Rogovsky^1,2, V. A. Romanov^1,2, S. I. Serednyakov^1,2, Yu. M. Shatunov¹, D. A. Shtol¹, Z. K. Silagadze^1,2, K. D. Sungurov^1,2, M. V. Timoshenko¹, I. K. Surin¹, Yu. V. Usov¹, I. M. Zemlyansky¹, V. N. Zhabin^1,2, Yu. M. Zharinov¹, V. V. Zhulanov^1,2, and P. V. Zhulanova^1,2

¹Budker Institute of Nuclear Physics, SB RAS, Novosibirsk 630090, Russia
²Novosibirsk State University, Novosibirsk 630090, Russia
³Novosibirsk State Technical University, Novosibirsk 630073, Russia

^*Contact author: druzhinin@inp.nsk.su

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Phys. Rev. D 114, 052009 – Published 14 September, 2026

DOI: https://doi.org/10.1103/2ljn-2ld1

Abstract

The precise measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ cross section is performed in the center-of-mass energy range $E = 560 - 1100 MeV$ using a data sample of $66 {pb}^{- 1}$ collected in the experiment with the SND detector at the VEPP- $2000 e^{+} e^{-}$ collider. The systematic uncertainty of the cross section measurement is 0.9% at the maximum of the $ω$ resonance and 1.2% at the maximum of the $ϕ$ resonance. The leading-order hadronic contribution to the muon magnetic anomaly calculated using the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ cross section measured by SND from 0.62 to 1.975 GeV is $(45.95 \pm 0.06 \pm 0.47) \times 10^{- 10}$ . From the fit to the cross section data with the vector meson dominance model, the parameters of the $ω$ , $ρ$ , and $ϕ$ resonances are obtained. The obtained values of $B (ω \to e^{+} e^{-}) B (ω \to 3 π)$ , mass and width of the $ω$ meson, and $B (ρ \to 3 π)$ have accuracy better than the current world average values.

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Phys. Rev. D 114, 052009– Published 14 September, 2026

Vol. 114, Iss. 5 — 1 September 2026

Received 10 March 2026
Accepted 28 August 2026

DOI: https://doi.org/10.1103/2ljn-2ld1

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ cross section in the energy region from 0.56 to 1.1 GeV with the SND detector

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Measurement of the e+e−→π+π−π0 cross section in the energy region from 0.56 to 1.1 GeV with the SND detector

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References (33)

Measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ cross section in the energy region from 0.56 to 1.1 GeV with the SND detector