Letter
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Selecting the physical solution via $η − η^{'}$ mixing

Institute of High Energy Physics, Beijing 100049, China

Phys. Rev. D 105, L031506 – Published 23 February, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L031506

Abstract

Based on $η − η^{'}$ mixing analysis, we propose a novel method to extract the physical solutions for the hadronic properties of the $Y (4230)$ resonance from the experimental data. Experimentally, multiple solutions have been reported in the decays of $Y (4230) \to η J / ψ$ and $Y (4230) \to η^{'} J / ψ$ . Utilizing our method, we determine a unique solution for the process $Y (4230) \to η^{'} J / ψ$ . Likewise, two solutions for the process $Y (4230) \to η J / ψ$ are preferred among the originally reported three solutions under the assumption that $Y (4230)$ does not take an $s \bar{s}$ component.

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References (19)

A. D. Bukin, arXiv:0710.5627.
C. Z. Yuan et al. (Belle Collaboration), Phys. Rev. Lett. 99, 182004 (2007).
X. L. Wang et al. (Belle Collaboration), Phys. Rev. Lett. 99, 142002 (2007).
C. Z. Yuan, X. H. Mo, and P. Wang, Int. J. Mod. Phys. A 25, 5963 (2010).
K. Zhu, X. H. Mo, C. Z. Yuan, and P. Wang, Int. J. Mod. Phys. A 26, 4511 (2011).
V. M. Malyshev, arXiv:1505.01509.
Y. Bai and D. Y. Chen, Phys. Rev. D 99, 072007 (2019).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 101, 012008 (2020).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 102, 031101 (2020).
K. Zhu, Int. J. Mod. Phys. A 36, 2150126 (2021).
R. Sinha and S. Okubo, Phys. Rev. D 30, 2333 (1984).
H. Leutwyler, Nucl. Phys. B, Proc. Suppl. 64, 223 (1998).
R. Kaiser and H. Leutwyler, arXiv:hep-ph/9806336.
P. A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. (2020) 083C01.
A. Bramon, R. Escribano, and M. D. Scadron, Phys. Lett. B 403, 339 (1997).
A. Aloisio et al. (KLOE Collaboration), Phys. Lett. B 541, 45 (2002).
F. Ambrosino, A. Antonelli, M. Antonelli, F. Archilli, P. Beltrame, G. Bencivenni, S. Bertolucci, C. Bini, C. Bloise, S. Bocchetta et al., J. High Energy Phys. 07 (2009) 105.
C. Amsler et al. (Crystal Barrel Collaboration), Phys. Lett. B 294, 451 (1992).
C. Amsler, Rev. Mod. Phys. 70, 1293 (1998).

Phys. Rev. D 105, L031506– Published 23 February, 2022

Vol. 105, Iss. 3 — 1 February 2022

Received 5 September 2021
Accepted 9 February 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L031506

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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Selecting the physical solution via $η − η^{'}$ mixing

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Selecting the physical solution via $η − η^{'}$ mixing