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Exclusive photoproduction of χcγ pairs

Marat Siddikov1 and Ivan Zemlyakov1,2

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Phys. Rev. D 112, 014021 – Published 9 July, 2025

DOI: https://doi.org/10.1103/7wnc-p9h2

Abstract

In this manuscript we study the exclusive photoproduction of χcγ pairs in the collinear factorization framework. We found the coefficient functions for all possible spins and helicity projections of χc mesons and final-state photons in the leading order in the strong coupling αs. In our analysis we focused on the contribution of the leading twist chiral-even generalized parton distributions (GPDs) and found that for all spin states of χc the suggested process is largely determined by the behavior of the gluon GPDs Hg. Using the phenomenological parametrizations of the GPDs from the literature, we estimated numerically the photoproduction cross sections and the expected counting rates in the kinematics of medium-energy photoproduction experiments that could be realized at the Electron-Ion Collider. We observed that the χc1, χc2 mesons are produced predominantly with the same polarization as the incoming photon, and the expected counting rates of χc1γ and χc2γ pairs are sufficiently large for their experimental study. We also analyzed the angular distribution of χc mesons in electroproduction experiments and noticed that for some helicity components there are sizable angular asymmetries, which can be used as complementary observables for experimental study. Finally, we estimated the role of this process as a potential background to χc photoproduction, which has been recently suggested as a tool for studies of odderons. We found that the contribution of χcγ (with undetected photon) is on par with expected contributions of odderons and Primakoff mechanisms in the kinematics of small momentum transfer |t|≲1  GeV2, but becomes negligible at larger |t|.

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Photoproduction of ηcγ pairs in the CGC framework

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Phys. Rev. D 111, 056024 (2025)

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References (84)

  1. M. Diehl, T. Feldmann, R. Jakob, and P. Kroll, Nucl. Phys. B596, 33 (2001); B605, 647(E) (2001).
  2. K. Goeke, M. V. Polyakov, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001).
  3. M. Diehl, Phys. Rep. 388, 41 (2003).
  4. M. Guidal, H. Moutarde, and M. Vanderhaeghen, Rep. Prog. Phys. 76, 066202 (2013).
  5. D. Boer, M. Diehl, R. Milner, R. Venugopalan, W. Vogelsang, D. Kaplan, H. Montgomery, S. Vigdor, A. Accardi, E. C. Aschenauer et al., arXiv:1108.1713.
  6. H. Dutrieux, C. Lorcé, H. Moutarde, P. Sznajder, A. Trawinski, and J. Wagner, Eur. Phys. J. C 81, 300 (2021).
  7. V. Burkert, L. Elouadrhiri, A. Afanasev, J. Arrington, M. Contalbrigo, W. Cosyn, A. Deshpande, D. Glazier, X. Ji, S. Liuti et al., Prog. Part. Nucl. Phys. 131, 104032 (2023).
  8. R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
  9. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
  10. K. Kumericki, S. Liuti, and H. Moutarde, Eur. Phys. J. A 52, 157 (2016).
  11. V. Bertone, H. Dutrieux, C. Mezrag, H. Moutarde, and P. Sznajder, Phys. Rev. D 103, 114019 (2021).
  12. E. Moffat, A. Freese, I. Cloët, T. Donohoe, L. Gamberg, W. Melnitchouk, A. Metz, A. Prokudin, and N. Sato, Phys. Rev. D 108, 036027 (2023).
  13. Y. Guo, X. Ji, M. G. Santiago, K. Shiells, and J. Yang, J. High Energy Phys. 05 (2023) 150.
  14. G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 03 (2023) 241.
  15. G. Duplančić, K. Passek-Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 11 (2018) 179.
  16. R. Boussarie, B. Pire, L. Szymanowski, and S. Wallon, J. High Energy Phys. 02 (2017) 054; J. High Energy Phys.10 (2018) 029(E).
  17. W. Cosyn and B. Pire, Phys. Rev. D 103, 114002 (2021).
  18. A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Phys. Rev. D 101, 114027 (2020).
  19. B. Pire, L. Szymanowski, and S. Wallon, Phys. Rev. D 101, 074005 (2020).
  20. A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Phys. Rev. D 96, 074008 (2017).
  21. M. El Beiyad, B. Pire, M. Segond, L. Szymanowski, and S. Wallon, Phys. Lett. B 688, 154 (2010).
  22. D. Y. Ivanov, B. Pire, L. Szymanowski, and O. V. Teryaev, Phys. Lett. B 550, 65 (2002).
  23. G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, Acta Phys. Pol. B Proc. Suppl. 16, 16 (2023).
  24. J. W. Qiu and Z. Yu, Phys. Rev. D 109, 074023 (2024).
  25. J. W. Qiu and Z. Yu, Phys. Rev. Lett. 131, 161902 (2023).
  26. K. Deja, V. Martinez-Fernandez, B. Pire, P. Sznajder, and J. Wagner, Phys. Rev. D 107, 094035 (2023).
  27. M. Siddikov and I. Schmidt, Phys. Rev. D 107, 034037 (2023).
  28. M. Siddikov and I. Schmidt, Phys. Rev. D 108, 096031 (2023).
  29. J.-W. Qiu and Z. Yu, J. High Energy Phys. 08 (2022) 103.
  30. J.-W. Qiu and Z. Yu, Phys. Rev. D 107, 014007 (2023).
  31. G. Duplan, S. Nabeebaccus, K. Passek-Kumericki, B. Pire, J. Schönleber, L. Szymanowski, and S. Wallon, Proc. Sci. SPIN2023 (2024) 007.
  32. S. Nabeebaccus, J. Schönleber, L. Szymanowski, and S. Wallon, Phys. Rev. D 111, 034040 (2025).
  33. M. Siddikov, Phys. Rev. D 110, 056043 (2024).
  34. J. G. Korner and G. Thompson, Phys. Lett. B 264, 185 (1991).
  35. M. Neubert, Phys. Rep. 245, 259 (1994).
  36. G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D 51, 1125 (1995); 55, 5853(E) (1997).
  37. F. Maltoni, M. L. Mangano, and A. Petrelli, Nucl. Phys. B519, 361 (1998).
  38. N. Brambilla, E. Mereghetti, and A. Vairo, Phys. Rev. D 79, 074002 (2009); 83, 079904(E) (2011).
  39. Y. Feng, J. P. Lansberg, and J. X. Wang, Eur. Phys. J. C 75, 313 (2015).
  40. N. Brambilla et al.; Eur. Phys. J. C 71, 1534 (2011).
  41. P. L. Cho and A. K. Leibovich, Phys. Rev. D 53, 6203 (1996).
  42. P. L. Cho and A. K. Leibovich, Phys. Rev. D 53, 150 (1996).
  43. S. Benić, A. Dumitru, A. Kaushik, L. Motyka, and T. Stebel, Phys. Rev. D 110, 014025 (2024).
  44. S. J. Brodsky, H. C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
  45. H. Mäntysaari, K. Roy, F. Salazar, and B. Schenke, Phys. Rev. D 103, 094026 (2021).
  46. C. F. von Weizsacker, Z. Phys. 88, 612 (1934).
  47. E. J. Williams, Kong. Dan. Vid. Sel. Mat. Fys. Med. 13N4, 1 (1935).
  48. V. M. Budnev, I. F. Ginzburg, G. V. Meledin, and V. G. Serbo, Phys. Rep. 15, 181 (1975).
  49. A. V. Belitsky, D. Mueller, and A. Kirchner, Nucl. Phys. B629, 323 (2002).
  50. A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
  51. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 50, 829 (2007).
  52. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 53, 367 (2008).
  53. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 59, 809 (2009).
  54. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 65, 137 (2010).
  55. S. V. Goloskokov and P. Kroll, Eur. Phys. J. A 47, 112 (2011).
  56. See Supplemental Material at http://link.aps.org/supplemental/10.1103/7wnc-p9h2 contains tabulated data shown in the Figures 7–19, as human- and machine-readable plaintext files. See the file README.txt in the archive for more details. Additional predictions are available from the authors upon reasonable request.
  57. D. Yu. Ivanov, A. Schafer, L. Szymanowski, and G. Krasnikov, Eur. Phys. J. C 34, 297 (2004).
  58. N. Warkentin, M. Diehl, D. Y. Ivanov, and A. Schafer, Eur. Phys. J. A 32, 273 (2007).
  59. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  60. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  61. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 100, 012003 (2019).
  62. J. Czyzewski, J. Kwiecinski, L. Motyka, and M. Sadzikowski, Phys. Lett. B 398, 400 (1997); 411, 402 (1997).
  63. R. Engel, D. Y. Ivanov, R. Kirschner, and L. Szymanowski, Eur. Phys. J. C 4, 93 (1998).
  64. A. Dumitru and T. Stebel, Phys. Rev. D 99, 094038 (2019).
  65. J. Bartels, Nucl. Phys. B175, 365 (1980); T. Jaroszewicz, Acta Phys. Pol. B 11, 965 (1980); J. Kwiecinski and M. Praszalowicz, Phys. Lett. 94B, 413 (1980).
  66. L. Lukaszuk and B. Nicolescu, Lett. Nuovo Cimento Soc. Ital. Fis. 8, 405 (1973); D. Joynson, E. Leader, B. Nicolescu, and C. Lopez, Nuovo Cimento A 30, 345 (1975).
  67. C. Ewerz, arXiv:hep-ph/0306137.
  68. S. Benic, D. Horvatic, A. Kaushik, and E. A. Vivoda, Phys. Rev. D 108, 074005 (2023).
  69. G. Antchev et al. (TOTEM Collaboration), Eur. Phys. J. C 80, 91 (2020).
  70. V. M. Abazov et al. (D0 Collaboration), Phys. Rev. D 86, 012009 (2012).
  71. J. Collins, Camb. Monogr. Part. Phys, Nucl. Phys. Cosmol. 32, 1 (2011).
  72. A. Accardi, P. Achenbach, D. Adhikari, A. Afanasev, C. S. Akondi, N. Akopov, M. Albaladejo, H. Albataineh, M. Albrecht, B. Almeida-Zamora et al., Eur. Phys. J. A 60, 173 (2024).
  73. J. P. Ma and Z. G. Si, Phys. Lett. B 647, 419 (2007).
  74. X. P. Wang and D. Yang, J. High Energy Phys. 06 (2014) 121.
  75. W. Wang, J. Xu, D. Yang, and S. Zhao, J. High Energy Phys. 12 (2017) 012.
  76. V. M. Braun and I. B. Filyanov, Z. Phys. C 48, 239 (1990).
  77. P. Ball, J. High Energy Phys. 01 (1999) 010.
  78. P. Ball and V. M. Braun, Phys. Rev. D 54, 2182 (1996).
  79. P. Ball, V. M. Braun, Y. Koike, and K. Tanaka, Nucl. Phys. B529, 323 (1998).
  80. P. Ball and V. M. Braun, Nucl. Phys. B543, 201 (1999).
  81. I. Babiarz, R. Pasechnik, W. Schaefer, and A. Szczurek, J. High Energy Phys. 06 (2020) 101.
  82. M. Diehl, T. Gousset, and B. Pire, arXiv:hep-ph/9909445.
  83. X. D. Ji, J. Phys. G 24, 1181 (1998).
  84. E. Braaten and J. Lee, Phys. Rev. D 67, 054007 (2003); 72, 099901(E) (2005).

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Phys. Rev. D 112, 014021– Published 9 July, 2025
  • Received 27 March 2025
  • Accepted 2 June 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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