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
  • Access by Xinjiang University

Correlations between heavy mesons and the creation of the charmonia, bottomonia, and Bc mesons in high energy pp collisions

Jiaxing Zhao1,2,3, Joerg Aichelin1, Pol Bernard Gossiaux1, and Klaus Werner1

Phys. Rev. D 113, 116022 – Published 16 June, 2026

DOI: https://doi.org/10.1103/6c95-5r3p

Abstract

The different QCD processes, which can produce a heavy quark-antiquark (QQ¯) pair, induce different correlations between the heavy quarks. Employing the epos4hq event generator, we study the consequences of these correlations and compare the calculation with experimental results on open and hidden heavy flavor mesons, measured in proton-proton (pp) collisions at RHIC and LHC energies. We find that the measured correlations between heavy mesons are a direct image of the different ways in which the heavy quark pair is produced. They also contribute differently to the transverse momentum distribution of open and hidden heavy flavor mesons. The latter are calculated in a Wigner density approach, which also enables us to reproduce quantitatively the measured Bc spectra. This agreement allows conclusions on the spatial distribution of the heavy quark creation processes.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (74)

  1. H. van Hees, V. Greco, and R. Rapp, Phys. Rev. C 73, 034913 (2006).
  2. M. He, R. J. Fries, and R. Rapp, Phys. Rev. C 86, 014903 (2012).
  3. V. Minissale, S. Plumari, and V. Greco, Phys. Lett. B 821, 136622 (2021).
  4. S. Cao, G.-Y. Qin, and S. A. Bass, Phys. Rev. C 92, 024907 (2015).
  5. S. Cao, T. Luo, G.-Y. Qin, and X.-N. Wang, Phys. Rev. C 94, 014909 (2016).
  6. S. Cao et al., Phys. Rev. C 99, 054907 (2019).
  7. S. Cao, K.-J. Sun, S.-Q. Li, S. Y. F. Liu, W.-J. Xing, G.-Y. Qin, and C. M. Ko, Phys. Lett. B 807, 135561 (2020).
  8. P. B. Gossiaux, R. Bierkandt, and J. Aichelin, Phys. Rev. C 79, 044906 (2009).
  9. T. Song, H. Berrehrah, D. Cabrera, J. M. Torres-Rincon, L. Tolos, W. Cassing, and E. Bratkovskaya, Phys. Rev. C 92, 014910 (2015).
  10. T. Song, H. Berrehrah, D. Cabrera, W. Cassing, and E. Bratkovskaya, Phys. Rev. C 93, 034906 (2016).
  11. M. He and R. Rapp, Phys. Rev. Lett. 124, 042301 (2020).
  12. H. T. Li, Z. L. Liu, and I. Vitev, Phys. Lett. B 816, 136261 (2021).
  13. A. Beraudo, A. De Pace, M. Monteno, M. Nardi, and F. Prino, Eur. Phys. J. C 82, 607 (2022).
  14. J. Zhao, J. Aichelin, P. B. Gossiaux, V. Ozvenchuk, and K. Werner, Phys. Rev. C 110, 024909 (2024).
  15. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. Lett. 118, 212301 (2017).
  16. J. Adam et al. (STAR Collaboration), Phys. Rev. C 99, 034908 (2019).
  17. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 01 (2022) 174.
  18. S. Acharya et al. (ALICE Collaboration), Phys. Lett. B 813, 136054 (2021).
  19. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 816, 136253 (2021).
  20. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 782, 474 (2018).
  21. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 06 (2012) 141; 03 (2014) 108(A).
  22. J. Adam et al. (STAR Collaboration), Phys. Lett. B 797, 134917 (2019).
  23. B. B. Abelev et al. (ALICE Collaboration), Phys. Lett. B 734, 314 (2014).
  24. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 10 (2020) 141.
  25. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. Lett. 111, 052301 (2013).
  26. M. Cacciari, M. Greco, and P. Nason, J. High Energy Phys. 05 (1998) 007.
  27. M. Cacciari, P. Nason, and R. Vogt, Phys. Rev. Lett. 95, 122001 (2005).
  28. E. Norrbin and T. Sjostrand, Eur. Phys. J. C 17, 137 (2000).
  29. R. Vogt, Phys. Rev. C 98, 034907 (2018).
  30. D. Souza and N. H. Brook, J. Phys. G 43, 015001 (2016).
  31. R. Maciula and A. Szczurek, EPJ Web Conf. 81, 01007 (2014).
  32. H. Fritzsch, Phys. Lett. 67B, 217 (1977).
  33. J. F. Amundson, O. J. P. Eboli, E. M. Gregores, and F. Halzen, Phys. Lett. B 372, 127 (1996).
  34. V. Cheung and R. Vogt, Phys. Rev. D 98, 114029 (2018).
  35. C.-H. Chang, Nucl. Phys. B172, 425 (1980).
  36. R. Baier and R. Ruckl, Phys. Lett. 102B, 364 (1981).
  37. G. T. Bodwin, E. Braaten, T. C. Yuan, and G. P. Lepage, Phys. Rev. D 46, R3703 (1992).
  38. G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D 51, 1125 (1995); 55, 5853(E) (1997).
  39. M. Butenschoen and B. A. Kniehl, Phys. Rev. Lett. 108, 172002 (2012).
  40. B. Gong, L.-P. Wan, J.-X. Wang, and H.-F. Zhang, Phys. Rev. Lett. 110, 042002 (2013).
  41. K.-T. Chao, Y.-Q. Ma, H.-S. Shao, K. Wang, and Y.-J. Zhang, Phys. Rev. Lett. 108, 242004 (2012).
  42. T. Song, J. Aichelin, and E. Bratkovskaya, Phys. Rev. C 96, 014907 (2017).
  43. D. Y. A. Villar, J. Zhao, J. Aichelin, and P. B. Gossiaux, Phys. Rev. C 107, 054913 (2023).
  44. T. Song, J. Aichelin, J. Zhao, P. B. Gossiaux, and E. Bratkovskaya, Phys. Rev. C 108, 054908 (2023).
  45. K. Werner, Phys. Rev. C 108, 064903 (2023).
  46. K. Werner and B. Guiot, Phys. Rev. C 108, 034904 (2023).
  47. K. Werner, Phys. Rev. C 109, 034918 (2024).
  48. K. Werner, Phys. Rev. C 109, 014910 (2024).
  49. J. Zhao, J. Aichelin, P. B. Gossiaux, and K. Werner, Phys. Rev. D 109, 054011 (2024).
  50. T. Sjöstrand, S. Ask, J. R. Christiansen, R. Corke, N. Desai, P. Ilten, S. Mrenna, S. Prestel, C. O. Rasmussen, and P. Z. Skands, Comput. Phys. Commun. 191, 159 (2015).
  51. S. Frixione, P. Nason, and C. Oleari, J. High Energy Phys. 11 (2007) 070.
  52. R. Vogt, Phys. Rev. C 98, 034907 (2018).
  53. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 11 (2017) 030.
  54. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 05 (2021) 220.
  55. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 06 (2017) 147.
  56. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. Lett. 113, 142301 (2014); 121, 229901(E) (2018).
  57. E. A. Remler, Ann. Phys. (N.Y.) 136, 293 (1981).
  58. M. Gyulassy, K. Frankel, and E. a. Remler, Nucl. Phys. A402, 596 (1983).
  59. T. Song, J. Aichelin, and E. Bratkovskaya, Phys. Rev. C 107, 054906 (2023).
  60. R. J. Fries, V. Greco, and P. Sorensen, Annu. Rev. Nucl. Part. Sci. 58, 177 (2008).
  61. R. J. Fries, B. Muller, C. Nonaka, and S. A. Bass, Phys. Rev. C 68, 044902 (2003).
  62. R. L. Workman and Others (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  63. S. Shlomo and M. Prakash, Nucl. Phys. A357, 157 (1981).
  64. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 03 (2022) 190.
  65. S. Acharya et al. (ALICE Collaboration), J. High Energy Phys. 10 (2019) 084.
  66. M. Aaboud et al. (ATLAS Collaboration), Eur. Phys. J. C 78, 171 (2018).
  67. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 790, 509 (2019).
  68. A. Adare et al. (PHENIX Collaboration), Phys. Rev. D 85, 092004 (2012).
  69. J. Adam et al. (STAR Collaboration), Phys. Lett. B 786, 87 (2018).
  70. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 790, 270 (2019).
  71. A. Tumasyan et al. (CMS Collaboration), Phys. Rev. Lett. 128, 252301 (2022).
  72. D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D 68, 094020 (2003).
  73. E. Hernandez, J. Nieves, and J. M. Verde-Velasco, Phys. Rev. D 74, 074008 (2006).
  74. C.-F. Qiao and R.-L. Zhu, Phys. Rev. D 87, 014009 (2013).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation