Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Photoproduction and detection of ρ′→π+π−π+π− decays in ultraperipheral collisions and at an electron-ion collider

Neha Devi* and Janet Seger

Minjung Kim

Spencer R. Klein†

  • *Present address: Jaeger Corporation, P.O. Box 540364 Omaha, NE 68154.
  • †Contact author: srklein@lbl.gov

Phys. Rev. C 113, 015207 – Published 26 January, 2026

DOI: https://doi.org/10.1103/wpbg-h511

Abstract

Vector meson photoproduction is an important probe of nuclear structure. Light vector mesons are most sensitive to low−x structure, as long as they are not too light for perturbative QCD calculations. The ρ′ is of interest as an intermediate mass state (between the ρ and J/ψ) that is easier to detect than the ϕ. Using HERA data on proton targets, we make projections for lead/gold targets in ultraperipheral collisions (UPCs) at the CERN Large Hadron Collider and the BNL Relativistic Heavy Ion Collider, and for ep and eA collisions at a future electron-ion collider (EIC). We compare the UPC projections with ALICE data, and constrain the branching ratio divided by the square of the photon-ρ′ coupling. The data prefer large couplings and small branching ratio, probably less than 25%. The photon-meson coupling predicted by generalized vector meson dominance does not fit the data. The HERA ep and ALICE UPC ePb data exhibit very similar 4π mass spectra, indicating that, if the system is composed of two resonances, the products of their photon couplings with their four-pion branching ratios are similar. The predicted rates are high for both UPCs and the EIC. The ρ′→π+π−π+π− decay can be observed at the EIC with high efficiency. In ep collisions at the highest energy, the forward B0 detector is needed to observe this channel down to the lowest achievable Bjorken−x values.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (51)

  1. T. H. Bauer, R. D. Spital, D. R. Yennie, and F. M. Pipkin, Rev. Mod. Phys. 50, 261 (1978); 51, 407(E) (1979).
  2. I. P. Ivanov, N. N. Nikolaev, and A. A. Savin, Phys. Part. Nuclei 37, 1 (2006).
  3. S. Klein and P. Steinberg, Annu. Rev. Nucl. Part. Sci. 70, 323 (2020).
  4. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
  5. R. Abdul Khalek et al., Nucl. Phys. A 1026, 122447 (2022).
  6. J. Adam et al. (ATHENA Collaboration), J. Instrum. 17, P10019 (2022).
  7. H. I. Miettinen and J. Pumplin, Phys. Rev. D 18, 1696 (1978).
  8. H. Mäntysaari and B. Schenke, Phys. Rev. Lett. 117, 052301 (2016).
  9. S. R. Klein and H. Mäntysaari, Nat. Rev. Phys. 1, 662 (2019).
  10. H. Mäntysaari and R. Venugopalan, Phys. Lett. B 781, 664 (2018).
  11. C. Adler et al. (STAR Collaboration), Phys. Rev. Lett. 89, 272302 (2002).
  12. J. Arrington et al., arXiv:2102.08337.
  13. S. Acharya et al. (ALICE Collaboration), Phys. Rev. Lett. 132, 222303 (2024).
  14. V. Chekhovsky et al. (CMS Collaboration), Phys. Rev. Lett. 135, 262301 (2025).
  15. R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  16. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  17. H. H. Bingham et al., Phys. Lett. B 41, 635 (1972).
  18. P. Schacht, I. Derado, D. C. Fries, J. Park, and D. Yount, Nucl. Phys. B 81, 205 (1974).
  19. G. Alexander, O. Benary, J. Gandsman, D. Lissauer, A. Levy, Y. Oren, and L. M. Rosenstein, Phys. Lett. B 57, 487 (1975).
  20. D. P. Barber et al. (LAMP2 Group), Z. Phys. C 4, 169 (1980).
  21. D. Aston et al. (Bonn-CERN-Ecole Poly-Glasgow-Lancaster-Manchester-Orsay-Paris-Rutherford-Sheffield Collaboration), Nucl. Phys. B 189, 15 (1981).
  22. M. Atkinson et al. (Omega Photon Collaboration), Z. Phys. C 26, 499 (1985).
  23. M. S. Atiya et al., Phys. Rev. Lett. 43, 1691 (1979).
  24. B. I. Abelev et al. (STAR Collaboration), Phys. Rev. C 81, 044901 (2010).
  25. S. Acharya et al. (ALICE Collaboration), Phys. Lett. B 872 140006 (2026).
  26. S. Schmitt, presented at Deep Inelastic Scattering, 2018 (unpublished).
  27. H1 Collaboration, Exclusive photoproduction of 2π+2π− final state at her, (2018), H1 prelim 18-211.
  28. S. Klein and J. Nystrand, Phys. Rev. C 60, 014903 (1999).
  29. S. R. Klein, J. Nystrand, J. Seger, Y. Gorbunov, and J. Butterworth, Comput. Phys. Commun. 212, 258 (2017).
  30. M. Davier, I. Derado, D. Fries, F. Liu, and R. Mozley, Nucl. Phys. B 58, 31 (1973).
  31. M. Klusek-Gawenda and J. D. Tapia Takaki, Acta Phys. Pol. B 51, 1393 (2020).
  32. D. Szuba (H1, ZEUS Collaborations), PoS EPS-HEP2009, 333 (2009).
  33. L. Frankfurt, M. Strikman, and M. Zhalov, Phys. Rev. C 67, 034901 (2003).
  34. V. Andreev et al. (H1 Collaboration), Eur. Phys. J. C 80, 1189 (2020).
  35. This differs from Ref. [31] which used a classical Glauber calculation.
  36. L. Frankfurt, V. Guzey, and M. Strikman, Phys. Rev. D 58, 094039 (1998).
  37. J. M. Bronstein, High-Energy photoproduction of the ρ and ρ′ vector mesons, Ph.D. thesis, Illinois University, Urbana, 1977 (unpublished).
  38. S. R. Klein and J. Nystrand, Phys. Rev. Lett. 84, 2330 (2000).
  39. M. Lomnitz and S. Klein, Phys. Rev. C 99, 015203 (2019).
  40. S. R. Klein and J. Nystrand, Phys. Rev. Lett. 92, 142003 (2004).
  41. L. Frankfurt, V. Guzey, M. Strikman, and M. Zhalov, Phys. Lett. B 752, 51 (2016).
  42. Z. Citron et al., CERN Yellow Rep. Monogr. 7, 1159 (2019).
  43. R. Aaij et al. (LHCb collaboration), arXiv:2506.06250.
  44. CMS Collaborartion, CERN Report No. CMS-DP-2024-011 (2024), https://cds.cern.ch/record/2909496.
  45. ALICE Collaboration, arXiv:2211.02491.
  46. F. D. Aaron et al. (H1 Collaboration), J. High Energy Phys. 05 (2010) 032.
  47. T. Kobayashi, Prog. Theor. Phys. 49, 282 (1973).
  48. H. Fraas and M. Kuroda, Phys. Rev. D 16, 2778 (1977).
  49. L. Frankfurt, M. Strikman, and M. Zhalov, Acta Phys. Polon. B 34, 3215 (2003).
  50. X. Chen, F.-K. Guo, C. D. Roberts, and R. Wang, Few-Body Syst. 61, 43 (2020).
  51. P. Agostini et al. (LHeC, FCC-he Study Group), J. Phys. G 48, 110501 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation