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

sin(2ϕ) azimuthal asymmetry in exclusive π0 production

Chentao Tan and Zhun Lu*

  • *Contact author: zhunlu@seu.edu.cn

Phys. Rev. D 114, 054040 – Published 18 September, 2026

DOI: https://doi.org/10.1103/gqwx-dk7f

Abstract

The sin(2ϕ) azimuthal angular correlation between the transverse momenta of the scattered electron and the recoil proton in the ep→e′p′π0 process provides a probe for quark orbital angular momentum. We numerically calculate this asymmetry for the future Electron-Ion Collider (EIC) in the U.S. and China (EicC) kinematics using a light-front quark-scalar-diquark model, in which the light-front wave functions are derived from the soft-wall AdS/QCD framework. We also investigate the properties of the valence quark angular momentum expressed in terms of helicity-independent and helicity-dependent parton distributions. This study aims to establish theoretical constraints on the asymmetry sensitive to the quark orbital angular momentum prior to its first experimental measurement.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (119)

  1. E. Leader and C. Lorcé, Phys. Rep. 541, 163 (2014).
  2. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. Lett. 115, 092002 (2015).
  3. D. de Florian, R. Sassot, M. Stratmann, and W. Vogelsang, Phys. Rev. Lett. 113, 012001 (2014).
  4. E. R. Nocera et al. (NNPDF Collaboration), Nucl. Phys. B887, 276 (2014).
  5. M. S. Abdallah et al. (STAR Collaboration), Phys. Rev. D 105, 092011 (2022).
  6. R. Abdul Khalek, A. Accardi, J. Adam, D. Adamiak, W. Akers, M. Albaladejo, A. Al-bataineh, M. G. Alexeev, F. Ameli, P. Antonioli et al., Nucl. Phys. A1026, 122447 (2022).
  7. A. Accardi, J. L. Albacete, M. Anselmino, N. Armesto, E. C. Aschenauer, A. Bacchetta, D. Boer, W. K. Brooks, T. Burton, N. B. Chang et al., Eur. Phys. J. A 52, 268 (2016).
  8. D. P. Anderle, V. Bertone, X. Cao, L. Chang, N. Chang, G. Chen, X. Chen, Z. Chen, Z. Cui, L. Dai et al., Front. Phys. (Beijing) 16, 64701 (2021).
  9. D. Müller, D. Robaschik, B. Geyer, F. M. Dittes, and J. Hořejši, Fortschr. Phys. 42, 101 (1994).
  10. X. D. Ji, Phys. Rev. Lett. 78, 610 (1997).
  11. M. Diehl, Phys. Rep. 388, 41 (2003).
  12. A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
  13. X. D. Ji, Phys. Rev. D 55, 7114 (1997).
  14. J. C. Collins and A. Freund, Phys. Rev. D 59, 074009 (1999).
  15. X. D. Ji, J. Phys. G 24, 1181 (1998).
  16. K. Goeke, M. V. Polyakov, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001).
  17. J. C. Collins, L. Frankfurt, and M. Strikman, Phys. Rev. D 56, 2982 (1997).
  18. C. Lorce and B. Pasquini, Phys. Rev. D 84, 014015 (2011).
  19. Y. Hatta, Phys. Lett. B 708, 186 (2012).
  20. C. Lorce, B. Pasquini, X. Xiong, and F. Yuan, Phys. Rev. D 85, 114006 (2012).
  21. A. Mukherjee, S. Nair, and V. K. Ojha, Phys. Rev. D 91, 054018 (2015).
  22. J. More, A. Mukherjee, and S. Nair, Eur. Phys. J. C 78, 389 (2018).
  23. S. Meissner, A. Metz, and M. Schlegel, J. High Energy Phys. 08 (2009) 056.
  24. C. Lorce, Phys. Lett. B 719, 185 (2013).
  25. X. Ji, X. Xiong, and F. Yuan, Phys. Rev. Lett. 109, 152005 (2012).
  26. X. Ji, F. Yuan, and Y. Zhao, Phys. Rev. Lett. 118, 192004 (2017).
  27. Y. Hatta, Y. Nakagawa, F. Yuan, Y. Zhao, and B. Xiao, Phys. Rev. D 95, 114032 (2017).
  28. S. Bhattacharya, R. Boussarie, and Y. Hatta, Phys. Rev. Lett. 128, 182002 (2022).
  29. S. Bhattacharya, A. Metz, V. K. Ojha, J. Y. Tsai, and J. Zhou, Phys. Lett. B 833, 137383 (2022).
  30. R. Boussarie, Y. Hatta, B. W. Xiao, and F. Yuan, Phys. Rev. D 98, 074015 (2018).
  31. A. V. Efremov and A. V. Radyushkin, Theor. Math. Phys. 42, 97 (1980).
  32. G. P. Lepage and S. J. Brodsky, Phys. Lett. B 87, 359 (1979).
  33. S. Bhattacharya, A. Metz, and J. Zhou, Phys. Lett. B 771, 396 (2017); 810, 135866(E) (2020).
  34. S. Bhattacharya, D. Zheng, and J. Zhou, Phys. Rev. Lett. 133, 051901 (2024).
  35. V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).
  36. L. N. Lipatov, Yad. Fiz. 20, 181 (1974).
  37. N. N. K. Borah, D. K. Choudhury, and P. K. Sahariah, Pramana 79, 833 (2012).
  38. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  39. S. J. Brodsky and G. F. de Teramond, Subnuclear series 45, 139 (2009).
  40. S. J. Brodsky and G. F. de Teramond, The Origin of Mass and Strong Coupling Gauge Theories (World Scientific, Singapore, 2008).
  41. G. F. de Teramond and S. J. Brodsky, J. Phys. Conf. Ser. 287, 012007 (2011).
  42. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
  43. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  44. S. J. Brodsky and G. F. de Teramond, Phys. Rev. D 78, 025032 (2008).
  45. S. J. Brodsky and G. F. de Teramond, arXiv:0804.3562.
  46. S. J. Brodsky and G. F. de Teramond, Nucl. Phys. B, Proc. Suppl. 199, 5 (2010).
  47. A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. D 74, 015005 (2006).
  48. S. J. Brodsky and G. F. de Teramond, Phys. Rev. Lett. 96, 201601 (2006).
  49. O. Andreev, Phys. Rev. D 73, 107901 (2006).
  50. I. Kirsch, J. High Energy Phys. 09 (2006) 052.
  51. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
  52. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 87, 016017 (2013).
  53. T. Gutsche, V. E. Lyubovitskij, and I. Schmidt, Nucl. Phys. B952, 114934 (2020).
  54. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 85, 076003 (2012).
  55. S. J. Brodsky and G. F. de Teramond, Phys. Rev. D 77, 056007 (2008).
  56. V. A. Matveev, R. M. Muradyan, and A. N. Tavkhelidze, Lett. Nuovo Cimento 5S2, 907 (1972).
  57. Z. Abidin and C. E. Carlson, Phys. Rev. D 79, 115003 (2009).
  58. A. Vega, I. Schmidt, T. Gutsche, and V. E. Lyubovitskij, Phys. Rev. D 83, 036001 (2011).
  59. T. Branz, T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 82, 074022 (2010).
  60. S. J. Brodsky, F. G. Cao, and G. F. de Teramond, Phys. Rev. D 84, 075012 (2011).
  61. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 86, 036007 (2012).
  62. T. Gutsche, V. E. Lyubovitskij, and I. Schmidt, Phys. Rev. D 94, 116006 (2016).
  63. V. E. Lyubovitskij and I. Schmidt, Phys. Rev. D 102, 094008 (2020).
  64. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 89, 054033 (2014); 92, 019902(E) (2015).
  65. T. Gutsche, V. E. Lyubovitskij, and I. Schmidt, Eur. Phys. J. C 77, 86 (2017).
  66. P. Kroll, M. Schurmann, and W. Schweiger, Z. Phys. A 338, 339 (1991).
  67. R. Jakob, P. Kroll, M. Schurmann, and W. Schweiger, Z. Phys. A 347, 109 (1993).
  68. R. Jakob, P. J. Mulders, and J. Rodrigues, Nucl. Phys. A626, 937 (1997).
  69. A. Bacchetta, F. Conti, and M. Radici, Phys. Rev. D 78, 074010 (2008).
  70. C. Mondal and D. Chakrabarti, Eur. Phys. J. C 75, 261 (2015).
  71. A. Vega, I. Schmidt, T. Gutsche, and V. E. Lyubovitskij, arXiv:1306.1597.
  72. T. Maji, C. Mondal, D. Chakrabarti, and O. V. Teryaev, J. High Energy Phys. 01 (2016) 165.
  73. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Phys. Rev. D 91, 054028 (2015).
  74. C. Lorce and B. Pasquini, Phys. Rev. D 84, 034039 (2011).
  75. J. Soffer, Phys. Rev. Lett. 74, 1292 (1995).
  76. A. Bacchetta, M. Boglione, A. Henneman, and P. J. Mulders, Phys. Rev. Lett. 85, 712 (2000).
  77. H. Avakian, A. V. Efremov, P. Schweitzer, and F. Yuan, Phys. Rev. D 81, 074035 (2010).
  78. H. Primakoff, Phys. Rev. 81, 899 (1951).
  79. G. Liping, R. Miskimen, A. Gasparian, J. Goity, W. Rong, and C. Xurong, Nucl. Phys. Rev. 31, 453 (2014).
  80. M. M. Kaskulov and U. Mosel, Phys. Rev. C 84, 065206 (2011).
  81. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  82. A. Khodjamirian, Eur. Phys. J. C 6, 477 (1999).
  83. Y. Jia, Z. Mo, J. Pan, and J. Y. Zhang, Phys. Rev. D 108, 016015 (2023).
  84. S. Bhattacharya, D. Zheng, and J. Zhou, Phys. Rev. D 109, 096029 (2024).
  85. C. Lorce, B. Pasquini, and M. Vanderhaeghen, J. High Energy Phys. 05 (2011) 041.
  86. A. Mukherjee, S. Nair, and V. K. Ojha, Phys. Rev. D 90, 014024 (2014).
  87. J. More, A. Mukherjee, and S. Nair, Phys. Rev. D 95, 074039 (2017).
  88. T. Liu and B. Q. Ma, Phys. Rev. D 91, 034019 (2015).
  89. D. Chakrabarti, T. Maji, C. Mondal, and A. Mukherjee, Eur. Phys. J. C 76, 409 (2016).
  90. D. Chakrabarti, T. Maji, C. Mondal, and A. Mukherjee, Phys. Rev. D 95, 074028 (2017).
  91. D. Chakrabarti, N. Kumar, T. Maji, and A. Mukherjee, Eur. Phys. J. Plus 135, 496 (2020).
  92. S. Kaur and H. Dahiya, Adv. High Energy Phys. 2020, 9429631 (2020).
  93. N. Kumar and C. Mondal, Nucl. Phys. B931, 226 (2018).
  94. K. Kanazawa, C. Lorcé, A. Metz, B. Pasquini, and M. Schlegel, Phys. Rev. D 90, 014028 (2014).
  95. C. Lorcé, Phys. Lett. B 735, 344 (2014).
  96. V. E. Lyubovitskij and I. Schmidt, Phys. Rev. D 102, 034011 (2020).
  97. T. Maji and D. Chakrabarti, Phys. Rev. D 94, 094020 (2016).
  98. T. Maji, C. Mondal, and D. Kang, Phys. Rev. D 105, 074024 (2022).
  99. T. Maji, C. Mondal, and D. Chakrabarti, Phys. Rev. D 96, 013006 (2017).
  100. T. Maji and D. Chakrabarti, Phys. Rev. D 95, 074009 (2017).
  101. G. D. Cates, C. W. de Jager, S. Riordan, and B. Wojtsekhowski, Phys. Rev. Lett. 106, 252003 (2011).
  102. M. Diehl and P. Kroll, Eur. Phys. J. C 73, 2397 (2013).
  103. A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C 63, 189 (2009).
  104. C. Cocuzza, W. Melnitchouk, A. Metz, and N. Sato (Jefferson Lab Angular Momentum (JAM) Collaboration), Phys. Rev. D 104, 074031 (2021).
  105. M. Glück, E. Reya, and A. Vogt, Eur. Phys. J. C 5, 461 (1998).
  106. R. S. Sufian, T. Liu, and A. Paul, Phys. Rev. D 103, 036007 (2021).
  107. E. Leader, A. V. Sidorov, and D. B. Stamenov, Eur. Phys. J. C 23, 479 (2002).
  108. R. D. Ball et al. (NNPDF Collaboration), Eur. Phys. J. C 82, 428 (2022).
  109. S. J. Brodsky, D. S. Hwang, B. Q. Ma, and I. Schmidt, Nucl. Phys. B593, 311 (2001).
  110. S. J. Brodsky, M. Diehl, and D. S. Hwang, Nucl. Phys. B596, 99 (2001).
  111. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 42, 281 (2005).
  112. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 50, 829 (2007).
  113. P. Sun, X. B. Tong, and F. Yuan, Phys. Lett. B 822, 136655 (2021).
  114. S. V. Goloskokov and P. Kroll, Eur. Phys. J. C 53, 367 (2008).
  115. I. V. Anikin and O. V. Teryaev, Phys. Lett. B 554, 51 (2003).
  116. S. Kaur and H. Dahiya, Phys. Rev. D 100, 074008 (2019).
  117. N. Kaur and H. Dahiya, Eur. Phys. J. A 56, 172 (2020).
  118. M. L. Nekrasov, arXiv:math-ph/0303024.
  119. E. Maina and R. Torasso, Phys. Lett. B 320, 337 (1994).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation