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Near-threshold heavy quarkonium photoproduction in a light-front spectator model

Amrita Sain1,2,3,*, Bheemsehan Gurjar4,5,†, and Chandan Mondal1,2,3,‡

  • *Contact author: amrita@impcas.ac.cn
  • †Contact author: gbheem@ustc.edu.cn
  • ‡Contact author: mondal@impcas.ac.cn

Phys. Rev. D 113, 054041 – Published 27 March, 2026

DOI: https://doi.org/10.1103/gz4s-ynt4

Abstract

The near-threshold photo- and electroproduction of heavy vector quarkonia off the proton provides direct access to its gluonic structure. In particular, the cross section for J/Ψ photoproduction near threshold is governed by the proton’s gluon gravitational form factors (GFFs). In this work, we employ the leading-order generalized parton distribution framework, together with gluon GFFs calculated in a light-front gluon-spectator model inspired by soft-wall AdS/QCD to predict both the differential and total cross sections for near-threshold J/Ψ and ϒ photoproduction. Our results for J/ψ photoproduction show good agreement with the low-momentum-transfer data from the J/ψ−007 experiment and the GlueX Collaboration at Jefferson Lab. However, at large momentum transfer, the next-to-leading order QCD effects are necessary to describe the data.

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References (73)

  1. K. A. Mamo and I. Zahed, Phys. Rev. D 101, 086003 (2020).
  2. K. A. Mamo and I. Zahed, Phys. Rev. D 106, 086004 (2022).
  3. Y. Guo, X. Ji, and F. Yuan, Phys. Rev. D 109, 014014 (2024).
  4. Y. Hatta and D.-L. Yang, Phys. Rev. D 98, 074003 (2018).
  5. R. Boussarie and Y. Hatta, Phys. Rev. D 101, 114004 (2020).
  6. L. Pentchev and E. Chudakov, Phys. Rev. D 112, 052009 (2025).
  7. A. Ali et al. (GlueX Collaboration), Phys. Rev. Lett. 123, 072001 (2019).
  8. S. Adhikari et al. (GlueX Collaboration), Phys. Rev. C 108, 025201 (2023).
  9. P. Sun, X.-B. Tong, and F. Yuan, Phys. Rev. D 105, 054032 (2022).
  10. R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
  11. D. P. Anderle et al., Front. Phys. (Beijing) 16, 64701 (2021).
  12. B. Duran et al., Nature (London) 615, 813 (2023).
  13. W.-Y. Liu and I. Zahed, Phys. Rev. D 110, 054025 (2024).
  14. F. Hechenberger, K. A. Mamo, and I. Zahed, Phys. Rev. D 109, 074013 (2024).
  15. S. J. Brodsky and G. A. Miller, Phys. Lett. B 412, 125 (1997).
  16. P. Sun, X.-B. Tong, and F. Yuan, Phys. Lett. B 822, 136655 (2021).
  17. Y. Guo, X. Ji, and Y. Liu, Phys. Rev. D 103, 096010 (2021).
  18. Y. Hatta and M. Strikman, Phys. Lett. B 817, 136295 (2021).
  19. K. A. Mamo and I. Zahed, Phys. Rev. D 103, 094010 (2021).
  20. Y. Guo, X. Ji, Y. Liu, and J. Yang, Phys. Rev. D 108, 034003 (2023).
  21. L. Frankfurt and M. Strikman, Phys. Rev. D 66, 031502 (2002).
  22. D. A. Pefkou, D. C. Hackett, and P. E. Shanahan, Phys. Rev. D 105, 054509 (2022).
  23. D. C. Hackett, D. A. Pefkou, and P. E. Shanahan, Phys. Rev. Lett. 132, 251904 (2024).
  24. C. Lorcé, H. Moutarde, and A. P. Trawiński, Eur. Phys. J. C 79, 89 (2019).
  25. M. V. Polyakov, Phys. Lett. B 555, 57 (2003).
  26. M. V. Polyakov and P. Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018).
  27. V. D. Burkert, L. Elouadrhiri, F. X. Girod, C. Lorcé, P. Schweitzer, and P. E. Shanahan, Rev. Mod. Phys. 95, 041002 (2023).
  28. C. Lorcé and P. Schweitzer, Acta Phys. Pol. B 56, 3 (2025).
  29. T. Hu, X. Cao, S. Xu, Y. Li, X. Zhao, and J. P. Vary, Phys. Rev. D 111, 074031 (2025).
  30. P. E. Shanahan and W. Detmold, Phys. Rev. Lett. 122, 072003 (2019).
  31. P. E. Shanahan and W. Detmold, Phys. Rev. D 99, 014511 (2019).
  32. C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, G. Koutsou, H. Panagopoulos, and G. Spanoudes, Phys. Rev. D 101, 094513 (2020).
  33. Y.-B. Yang, M. Gong, J. Liang, H.-W. Lin, K.-F. Liu, D. Pefkou, and P. Shanahan, Phys. Rev. D 98, 074506 (2018).
  34. Y.-B. Yang, J. Liang, Y.-J. Bi, Y. Chen, T. Draper, K.-F. Liu, and Z. Liu, Phys. Rev. Lett. 121, 212001 (2018).
  35. C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Avilés-Casco, and C. Wiese, Phys. Rev. Lett. 119, 142002 (2017).
  36. G. F. de Téramond, H. G. Dosch, T. Liu, R. S. Sufian, S. J. Brodsky, and A. Deur (HLFHS Collaboration), Phys. Rev. D 104, 114005 (2021).
  37. B. Gurjar, C. Mondal, and D. Chakrabarti, Phys. Rev. D 107, 054013 (2023).
  38. J. More, A. Mukherjee, S. Nair, and S. Saha, Phys. Rev. D 107, 116005 (2023).
  39. Z. Q. Yao, Y. Z. Xu, D. Binosi, Z. F. Cui, M. Ding, K. Raya, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt, Eur. Phys. J. A 61, 92 (2025).
  40. S. Nair, C. Mondal, S. Xu, X. Zhao, and J. P. Vary (BLFQ Collaboration), Phys. Rev. D 112, 114001 (2025).
  41. X.-B. Tong, J.-P. Ma, and F. Yuan, Phys. Lett. B 823, 136751 (2021).
  42. X.-B. Tong, J.-P. Ma, and F. Yuan, J. High Energy Phys. 10 (2022) 046.
  43. A. Sain, P. Choudhary, B. Gurjar, C. Mondal, D. Chakrabarti, and A. Mukherjee, Phys. Rev. D 111, 094011 (2025).
  44. D. Chakrabarti, P. Choudhary, B. Gurjar, R. Kishore, T. Maji, C. Mondal, and A. Mukherjee, Phys. Rev. D 108, 014009 (2023).
  45. D. Chakrabarti, P. Choudhary, B. Gurjar, T. Maji, C. Mondal, and A. Mukherjee, Phys. Rev. D 109, 114040 (2024).
  46. D. Chakrabarti, B. Gurjar, A. Mukherjee, and K. Saha, Phys. Rev. D 112, 114031 (2025).
  47. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
  48. Z. Lu and B.-Q. Ma, Phys. Rev. D 94, 094022 (2016).
  49. V. E. Lyubovitskij and I. Schmidt, Phys. Rev. D 103, 094017 (2021).
  50. S. J. Brodsky, D. S. Hwang, B.-Q. Ma, and I. Schmidt, Nucl. Phys. B593, 311 (2001).
  51. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 89, 054033 (2014); 92, 019902(E) (2015).
  52. S. J. Brodsky and I. A. Schmidt, Phys. Lett. B 234, 144 (1990).
  53. S. J. Brodsky, M. Burkardt, and I. Schmidt, Nucl. Phys. B441, 197 (1995).
  54. Y. Guo, F. Yuan, and W. Zhao, Phys. Rev. Lett. 135, 111902 (2025).
  55. G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D 51, 1125 (1995); 55, 5853(E) (1997).
  56. D. Y. Ivanov, A. Schafer, L. Szymanowski, and G. Krasnikov, Eur. Phys. J. C 34, 297 (2004); 75, 75(E) (2015).
  57. Z.-Q. Chen and C.-F. Qiao, Phys. Lett. B 797, 134816 (2019); 797, 135759(E) (2020).
  58. C. A. Flett, J. A. Gracey, S. P. Jones, and T. Teubner, J. High Energy Phys. 08 (2021) 150.
  59. X.-D. Ji, Phys. Rev. Lett. 78, 610 (1997).
  60. M. Diehl, Phys. Rep. 388, 41 (2003).
  61. Y. Hatta, H. T. Klest, K. Passek-K., and J. Schoenleber, arXiv:2501.12343.
  62. X. Ji, X. Xiong, and F. Yuan, Phys. Lett. B 717, 214 (2012).
  63. A. Harindranath, R. Kundu, and A. Mukherjee, Phys. Lett. B 728, 63 (2014).
  64. A. Harindranath, R. Kundu, A. Mukherjee, and J. P. Vary, Phys. Lett. B 417, 361 (1998).
  65. G. Wang, Y.-B. Yang, J. Liang, T. Draper, and K.-F. Liu (χQCD Collaboration), Phys. Rev. D 106, 014512 (2022).
  66. Y. Guo, F. P. Aslan, X. Ji, and M. G. Santiago, Phys. Rev. Lett. 135, 261903 (2025).
  67. Y. Hatta, A. Rajan, and D.-L. Yang, Phys. Rev. D 100, 014032 (2019).
  68. R. Van Royen and V. F. Weisskopf, Nuovo Cimento A 50, 617 (1967); 51, 583(E) (1967).
  69. E. J. Eichten and C. Quigg, Phys. Rev. D 52, 1726 (1995).
  70. G. T. Bodwin, E. Braaten, J. Lee, and C. Yu, Phys. Rev. D 74, 074014 (2006).
  71. E. J. Eichten and C. Quigg, arXiv:1904.11542.
  72. B. Gittelman, K. M. Hanson, D. Larson, E. Loh, A. Silverman, and G. Theodosiou, Phys. Rev. Lett. 35, 1616 (1975).
  73. U. Camerini, J. G. Learned, R. Prepost, C. M. Spencer, D. E. Wiser, W. Ash, R. L. Anderson, D. Ritson, D. Sherden, and C. K. Sinclair, Phys. Rev. Lett. 35, 483 (1975).

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