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Simultaneous Dalitz-plot decomposition of the $e^{+} e^{-} \to J / ψ π π (K \bar{K})$ processes in the 4.13–4.36 GeV region using dispersive final-state interactions

Viktoriia Ermolina , Igor Danilkin , and Marc Vanderhaeghen

Institut für Kernphysik and PRISMA⁺⁺ Cluster of Excellence, Johannes Gutenberg Universität, D-55099 Mainz, Germany

Phys. Rev. D 114, 074054 – Published 26 October, 2026

DOI: https://doi.org/10.1103/hdnh-9md5

Abstract

We present a joint analysis of the processes $e^{+} e^{-} \to J / ψ π^{+} π^{-}$ and $e^{+} e^{-} \to J / ψ K^{+} K^{-}$ at center-of-mass energies from 4.13 to 4.36 GeV. The amplitudes are constructed using the Dalitz-plot decomposition formalism, with the $e^{+} e^{-}$ energy dependence encoded through the $Y (4220)$ and $Y (4320)$ resonant structures together with a nonresonant production mechanism. The scalar $π π / K \bar{K}$ final-state interaction is treated dispersively using a coupled-channel Omnès representation. This allows us to describe the measured total cross sections and one-dimensional invariant-mass distributions with a single set of energy-independent parameters. We find that a purely resonant description of the BESIII data is insufficient, requiring a nonresonant term at the amplitude level which undergoes $π π / K \bar{K}$ rescattering. Within the present isobar model, we extract Breit-Wigner parameters for the $Z_{c} (3900)$ , $Y (4220)$ , and $Y (4320)$ states and determine the corresponding subprocess cross sections.

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Phys. Rev. D 114, 074054– Published 26 October, 2026

Vol. 114, Iss. 7 — 1 October 2026

Received 27 July 2026
Accepted 29 September 2026

DOI: https://doi.org/10.1103/hdnh-9md5

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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Simultaneous Dalitz-plot decomposition of the $e^{+} e^{-} \to J / ψ π π (K \bar{K})$ processes in the 4.13–4.36 GeV region using dispersive final-state interactions

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Simultaneous Dalitz-plot decomposition of the e+e−→J/ψππ(KK¯) processes in the 4.13–4.36 GeV region using dispersive final-state interactions

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References (49)

Simultaneous Dalitz-plot decomposition of the $e^{+} e^{-} \to J / ψ π π (K \bar{K})$ processes in the 4.13–4.36 GeV region using dispersive final-state interactions