Letter
Open Access

Three-body unitary coupled-channel analysis on $η (1405 / 1475)$

S. X. Nakamura ^1,2,*, Q. Huang³, J.-J. Wu^4,†, H. P. Peng^1,2, Y. Zhang ^1,2, and Y. C. Zhu ^1,2

¹University of Science and Technology of China, Hefei 230026, China
²State Key Laboratory of Particle Detection and Electronics (IHEP-USTC), Hefei 230036, China
³Department of Physics, Nanjing Normal University, Nanjing, Jiangsu 210097, China
⁴School of Physical Sciences, University of Chinese Academy of Sciences (UCAS), Beijing 100049, China

^*satoshi@ustc.edu.cn
^†wujiajun@ucas.ac.cn

Phys. Rev. D 107, L091505 – Published 25 May, 2023Erratum Phys. Rev. D 109, 039901 (2024)

DOI: https://doi.org/10.1103/PhysRevD.107.L091505

Abstract

The recent BESIII data on $J / ψ \to γ (K_{S} K_{S} π^{0})$ , which is significantly more precise than earlier $η (1405 / 1475)$ -related data, enables quantitative discussions on $η (1405 / 1475)$ at the previously unreachable level. We conduct a three-body unitary coupled-channel analysis of experimental Monte Carlo outputs for radiative $J / ψ$ decays via $η (1405 / 1475)$ : $K_{S} K_{S} π^{0}$ Dalitz plot distributions from the BESIII, and branching ratios of $γ (η π^{+} π^{-})$ and $γ (γ π^{+} π^{-})$ final states relative to that of $γ (K \bar{K} π)$ . Our model systematically considers (multi)loop diagrams and an associated triangle singularity, which is critical for making excellent predictions on $η (1405 / 1475) \to π π π$ line shapes and branching ratios. The $η (1405 / 1475)$ pole locations are revealed for the first time. Two poles for $η (1405)$ are found on different Riemann sheets of the $K^{*} \bar{K}$ channel, while one pole is found for $η (1475)$ . The $η (1405 / 1475)$ states are described by two bare states dressed with continuum states. The lower bare state would be an excited $η^{'}$ , while the higher one could be an excited $η^{(')}$ , hybrid, glueball, or a mixture of these. This work presents the first-ever pole determination based on a manifestly three-body unitary coupled-channel framework applied to experimental three-body final state distributions (Dalitz plots).

Physics Subject Headings (PhySH)

Erratum

Erratum: Three-body unitary coupled-channel analysis on $η (1405 / 1475)$ [Phys. Rev. D 107, 091505 (2023)]

S. X. Nakamura, Q. Huang, J.-J. Wu, H. P. Peng, Y. Zhang, and Y. C. Zhu

Phys. Rev. D 109, 039901 (2024)

Article Text

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Phys. Rev. D 107, L091505– Published 25 May, 2023

Vol. 107, Iss. 9 — 1 May 2023

Received 23 December 2022
Accepted 4 May 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L091505

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.

Published by the American Physical Society

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Three-body unitary coupled-channel analysis on $η (1405 / 1475)$

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Three-body unitary coupled-channel analysis on $η (1405 / 1475)$ [Phys. Rev. D 107, 091505 (2023)]

See Also

Three-body unitary coupled-channel approach to radiative $J / ψ$ decays and $η (1405 / 1475)$

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Three-body unitary coupled-channel analysis on η(1405/1475)

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Three-body unitary coupled-channel analysis on η(1405/1475) [Phys. Rev. D 107, 091505 (2023)]

See Also

Three-body unitary coupled-channel approach to radiative J/ψ decays and η(1405/1475)

Article Text

References (44)

Three-body unitary coupled-channel analysis on $η (1405 / 1475)$

Erratum: Three-body unitary coupled-channel analysis on $η (1405 / 1475)$ [Phys. Rev. D 107, 091505 (2023)]

Three-body unitary coupled-channel approach to radiative $J / ψ$ decays and $η (1405 / 1475)$