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Ambiguities in the partial-wave analysis of the photoproduction of pairs of pseudoscalar mesons

J. Guo1, E. Barriga2, K. Scheuer3, A. Austregesilo4, P. Eugenio2, D. I. Glazier5, B. Grube4, W. Imoehl1, C. A. Meyer1 et al.

A. Ostrovidov2 and J. R. Stevens3

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Phys. Rev. D 112, 016025 – Published 28 July, 2025

DOI: https://doi.org/10.1103/kjcp-h8b9

Abstract

Applying the technique of partial-wave analysis, there are cases where more than one set of underlying complex-valued amplitudes can describe the measured observables. These ambiguities can sometimes be resolved using additional information, but assumptions are often required. It is known that the partial-wave analysis of two-pseudoscalar meson systems produced in photoproduction with a linearly polarized photon beam is free from discrete ambiguities stemming from the Barrelet zeros when the nucleon spin is ignored. In this article, we show that continuous ambiguities are possible for certain wave sets, even though the discrete ambiguities do not appear. We also explore ways to resolve these ambiguities and determine the maximal amount of information that can be obtained from analyses that suffer from these continuous ambiguities.

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References (15)

  1. M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8, 214 (1964).
  2. G. Zweig, An SU(3) model for strong interaction symmetry and its breaking. Version 1, 10.17181/CERN-TH-401 (1964).
  3. C. A. Meyer and E. S. Swanson, Hybrid mesons, Prog. Part. Nucl. Phys. 82, 21 (2015).
  4. S. Adhikari et al., The GLUEX beamline and detector, Nucl. Instrum. Methods Phys. Res., Sect. A 987, 164807 (2021).
  5. S. Adhikari et al., Measurement of spin-density matrix elements in ρ(770) production with a linearly polarized photon beam at Eγ=8.2–8.8  GeV, Phys. Rev. C 108, 055204 (2023).
  6. F. Afzal et al., First measurement of a20(1320) polarized photoproduction cross section, Phys. Rev. C 112, 015204 (2025).
  7. M. Albrecht, Search for exotic hadrons in η(′)π at GlueX, Nuovo Cimento Soc. Ital. Fis. 47C, 181 (2024).
  8. A. Gersten, Ambiguities of complex phase-shift analysis, Nucl. Phys. B12, 537 (1969).
  9. S. A. Sadovsky, On the ambiguities in the partial wave analysis of π−p→ηπ0n reaction, Report No. IHEP-91-75, 1991, https://inspirehep.net/literature/318103.
  10. S. U. Chung, Techniques of amplitude analysis for two pseudoscalar systems, Phys. Rev. D 56, 7299 (1997).
  11. W. A. Smith et al., Ambiguities in partial wave analysis of two spinless meson photoproduction, Phys. Rev. D 108, 076001 (2023).
  12. V. Mathieu, M. Albaladejo, C. Fernández-Ramírez, A. W. Jackura, M. Mikhasenko, A. Pilloni, and A. P. Szczepaniak, Moments of angular distribution and beam asymmetries in ηπ0 photoproduction at GlueX, Phys. Rev. D 100, 054017 (2019).
  13. S. U. Chung and T. L. Trueman, Positivity conditions on the spin density matrix: A simple parametrization, Phys. Rev. D 11, 633 (1975).
  14. E. Barrelet, A new point of view in the analysis of two-body reactions, Il Nuovo Cimento A (1965-1970) 8, 331 (1972).
  15. M. R. Shepherd, J. Stevens, R. Mitchell, M. Albrecht, and A. Austregesilo, amptools User Guide, https://github.com/mashephe/AmpTools (2022).

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Phys. Rev. D 112, 016025– Published 28 July, 2025
  • Received 19 June 2025
  • Accepted 2 July 2025
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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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