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  • Letter
  • Open Access

Shedding light on charmonium

Zhiguo Wang1, Meijian Li2,*, Yang Li1, and James P. Vary3

  • 1Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • 2Instituto Galego de Fisica de Altas Enerxias (IGFAE), Universidade de Santiago de Compostela, E-15782 Galicia, Spain
  • 3Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011

  • *meijian.li@usc.es
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Phys. Rev. D 109, L031902 – Published 29 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L031902

Abstract

We investigate E1 radiative transitions within charmonium in a relativistic approach based on light-front QCD. In quantum field theory, two sets of processes are pure E1: χc0→J/ψγ (ψ→χc0γ) and hc→ηcγ (ηc′→hcγ), both involving the P-wave charmonia. We compute the E1 radiative decay widths as well as the corresponding transition form factors of various processes including those involving 2P states. These observables provide an access to the microscopic structures of the P-wave charmonium. We show that our parameter-free predictions are in excellent agreement with the experimental measurements as well as lattice simulations whenever available.

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References (90)

  1. N. Brambilla, S. Eidelman, B. K. Heltsley, R. Vogt, G. T. Bodwin, E. Eichten, A. D. Frawley, A. B. Meyer, R. E. Mitchell, V. Papadimitriou et al., Eur. Phys. J. C 71, 1534 (2011).
  2. N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, Phys. Rep. 873, 1 (2020).
  3. H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Rep. Prog. Phys. 86, 026201 (2023).
  4. F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  5. S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
  6. T. Barnes and S. Godfrey, Phys. Rev. D 69, 054008 (2004).
  7. T. Barnes, S. Godfrey, and E. S. Swanson, Phys. Rev. D 72, 054026 (2005).
  8. E. S. Swanson, Phys. Rep. 429, 243 (2006).
  9. T. Barnes and E. S. Swanson, Phys. Rev. C 77, 055206 (2008).
  10. M. R. Pennington and D. J. Wilson, Phys. Rev. D 76, 077502 (2007).
  11. S. Godfrey and S. L. Olsen, Annu. Rev. Nucl. Part. Sci. 58, 51 (2008).
  12. I. V. Danilkin and Y. A. Simonov, Phys. Rev. Lett. 105, 102002 (2010).
  13. J. Ferretti, G. Galatà, and E. Santopinto, Phys. Rev. C 88, 015207 (2013).
  14. P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Phys. Lett. B 778, 1 (2018).
  15. R. Bruschini and P. González, J. High Energy Phys. 02 (2023) 216.
  16. F. K. Guo and U. G. Meissner, Phys. Rev. D 86, 091501 (2012).
  17. S. L. Olsen, Phys. Rev. D 91, 057501 (2015).
  18. Z. Y. Zhou, Z. Xiao, and H. Q. Zhou, Phys. Rev. Lett. 115, 022001 (2015).
  19. G. L. Yu, Z. G. Wang, and Z. Y. Li, Chin. Phys. C 42, 4 (2018).
  20. F. Gross, E. Klempt, S. J. Brodsky, A. J. Buras, V. D. Burkert, G. Heinrich, K. Jakobs, C. A. Meyer, K. Orginos, M. Strickland et al., Eur. Phys. J. C 83, 1125 (2023).
  21. A. B. Henriques, B. H. Kellett, and R. G. Moorhouse, Phys. Lett. 64B, 85 (1976).
  22. K. Konigsmann, Phys. Rep. 139, 243 (1986).
  23. O. Lakhina and E. S. Swanson, Phys. Rev. D 74, 014012 (2006).
  24. E. Eichten, S. Godfrey, H. Mahlke, and J. L. Rosner, Rev. Mod. Phys. 80, 1161 (2008).
  25. C. W. Zhao, G. Li, X. H. Liu, and F. L. Shao, Eur. Phys. J. C 73, 2482 (2013).
  26. P. Guo, T. Yépez-Martínez, and A. P. Szczepaniak, Phys. Rev. D 89, 116005 (2014).
  27. W. J. Deng, H. Liu, L. C. Gui, and X. H. Zhong, Phys. Rev. D 95, 034026 (2017).
  28. E. Kou et al. (Belle-II Collaboration), Prog. Theor. Exp. Phys. 2019, 123C01 (2019); 2020, 029201(E) (2020).
  29. M. Hoferichter and P. Stoffer, J. High Energy Phys. 05 (2020) 159.
  30. X. Yao, Int. J. Mod. Phys. A 36, 2130010 (2021).
  31. G. Ganbold, T. Gutsche, M. A. Ivanov, and V. E. Lyubovitskij, Phys. Rev. D 104, 094048 (2021).
  32. K. H. Hong, H. C. Kim, and U. Yakhshiev, Prog. Theor. Exp. Phys. 2022, 103D02 (2022).
  33. I. Babiarz, V. P. Goncalves, R. Pasechnik, W. Schäfer, and A. Szczurek, Phys. Rev. D 100, 054018 (2019).
  34. F. Feng, Y. Jia, and W. L. Sang, Phys. Rev. Lett. 115, 222001 (2015).
  35. F. Feng, Y. Jia, and W. L. Sang, Phys. Rev. Lett. 119, 252001 (2017).
  36. S. Abreu, M. Becchetti, C. Duhr, and M. A. Ozcelik, J. High Energy Phys. 02 (2023) 250.
  37. J. Chen, M. Ding, L. Chang, and Y. x. Liu, Phys. Rev. D 95, 016010 (2017).
  38. Y. Li, M. Li, and J. P. Vary, Phys. Rev. D 105, L071901 (2022).
  39. M. Li, Y. Li, P. Maris, and J. P. Vary, Phys. Rev. D 98, 034024 (2018).
  40. Yang Li, Heavy quarkonium light front wave functions from basis light-front quantization with a running coupling, Mendeley data, V2, 10.17632/cjs4ykv8cv.2 (2019).
  41. P. Maris, S. Jia, M. Li, Y. Li, S. Tang, and J. P. Vary, Proc. Sci. LC2019 (2020) 007 [arXiv:2002.06489].
  42. J. P. Vary, H. Honkanen, J. Li, P. Maris, S. J. Brodsky, A. Harindranath, G. F. de Teramond, P. Sternberg, E. G. Ng, and C. Yang, Phys. Rev. C 81, 035205 (2010).
  43. Y. Li, P. Maris, and J. P. Vary, Phys. Rev. D 96, 016022 (2017).
  44. L. Adhikari, Y. Li, M. Li, and J. P. Vary, Phys. Rev. C 99, 035208 (2019).
  45. G. Chen, Y. Li, K. Tuchin, and J. P. Vary, Phys. Rev. C 100, 025208 (2019).
  46. J. Lan, C. Mondal, M. Li, Y. Li, S. Tang, X. Zhao, and J. P. Vary, Phys. Rev. D 102, 014020 (2020).
  47. T. Lappi, H. Mäntysaari, and J. Penttala, Phys. Rev. D 102, 054020 (2020).
  48. I. Babiarz, R. Pasechnik, W. Schäfer, and A. Szczurek, Phys. Rev. D 107, L071503 (2023).
  49. S. Leitão, A. Stadler, M. T. Peña, and E. P. Biernat, Phys. Rev. D 96, 074007 (2017).
  50. C. S. Fischer, S. Kubrak, and R. Williams, Eur. Phys. J. A 51, 10 (2015).
  51. R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  52. X. L. Wang et al. (Belle Collaboration), Phys. Rev. D 105, 112011 (2022).
  53. J. J. Dudek, R. G. Edwards, and D. G. Richards, Phys. Rev. D 73, 074507 (2006).
  54. S. D. Drell and T. M. Yan, Phys. Rev. Lett. 24, 181 (1970).
  55. S. J. Brodsky, H. C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
  56. J. Carbonell, B. Desplanques, V. A. Karmanov, and J. F. Mathiot, Phys. Rep. 300, 215 (1998).
  57. J. Lan, K. Fu, C. Mondal, X. Zhao, and J. P. Vary (BLFQ Collaboration), Phys. Lett. B 825, 136890 (2022).
  58. S. Xu, C. Mondal, X. Zhao, Y. Li, and J. P. Vary, arXiv:2209.08584.
  59. B. Pasquini, S. Rodini, and S. Venturini (MAP (Multi-dimensional Analyses of Partonic distributions) Collaboration), Phys. Rev. D 107, 114023 (2023).
  60. N. E. Adam et al. (CLEO Collaboration), Phys. Rev. Lett. 94, 232002 (2005).
  61. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 96, 032001 (2017).
  62. J. S. Whitaker, W. M. Tanenbaum, G. S. Abrams, M. S. Alam, A. Boyarski, M. Breidenbach, W. Chinowsky, R. DeVoe, G. J. Feldman, C. E. Friedberg et al., Phys. Rev. Lett. 37, 1596 (1976).
  63. C. J. Biddick, T. H. Burnett, G. E. Masek, E. S. Miller, J. G. Smith, J. P. Stronski, M. K. Sullivan, W. Vernon, D. H. Badtke, B. A. Barnett et al., Phys. Rev. Lett. 38, 1324 (1977).
  64. J. Gaiser, E. D. Bloom, F. Bulos, G. Godfrey, C. M. Kiesling, W. S. Lockman, M. Oreglia, D. L. Scharre, C. Edwards, R. Partridge et al., Phys. Rev. D 34, 711 (1986).
  65. S. B. Athar et al. (CLEO Collaboration), Phys. Rev. D 70, 112002 (2004).
  66. R. A. Briere et al. (CLEO Collaboration), Phys. Rev. D 74, 031106 (2006).
  67. M. Ablikim et al. (BESIII Collaboration), Phys. Lett. B 753, 103 (2016).
  68. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 86, 092009 (2012).
  69. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 106, 072007 (2022).
  70. S. Dobbs et al. (CLEO Collaboration), Phys. Rev. Lett. 101, 182003 (2008).
  71. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 104, 132002 (2010).
  72. J. L. Rosner et al. (CLEO Collaboration), Phys. Rev. Lett. 95, 102003 (2005).
  73. See the Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.109.L031902 for the values of the decay widths.
  74. J. J. Dudek, R. Edwards, and C. E. Thomas, Phys. Rev. D 79, 094504 (2009).
  75. Y. Chen, D. C. Du, B. Z. Guo, N. Li, C. Liu, H. Liu, Y. B. Liu, J. P. Ma, X. F. Meng, Z. Y. Niu et al., Phys. Rev. D 84, 034503 (2011).
  76. D. Becirevic and F. Sanfilippo, J. High Energy Phys. 01 (2013) 028.
  77. N. Li, C. C. Liu, and Y. J. Wu, Europhys. Lett. 133, 11001 (2021).
  78. J. Delaney, C. E. Thomas, and S. M. Ryan, arXiv:2301.08213.
  79. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
  80. A. Cisek, W. Schäfer, and A. Szczurek, J. High Energy Phys. 04 (2015) 159.
  81. G. Chen, Y. Li, P. Maris, K. Tuchin, and J. P. Vary, Phys. Lett. B 769, 477 (2017).
  82. V. P. Gonçalves, M. V. T. Machado, B. D. Moreira, F. S. Navarra, and G. S. dos Santos, Phys. Rev. D 96, 094027 (2017).
  83. E. C. Aschenauer, S. Fazio, J. H. Lee, H. Mantysaari, B. S. Page, B. Schenke, T. Ullrich, R. Venugopalan, and P. Zurita, Rep. Prog. Phys. 82, 024301 (2019).
  84. V. P. Goncalves, D. E. Martins, and C. R. Sena, Nucl. Phys. A1004, 122055 (2020).
  85. 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).
  86. 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).
  87. H. Mäntysaari and J. Penttala, J. High Energy Phys. 08 (2022) 247.
  88. R. Abir, I. Akushevich, T. Altinoluk, D. P. Anderle, F. P. Aslan, A. Bacchetta, B. Balantekin, J. Barata, M. Battaglieri, C. A. Bertulani et al., arXiv:2305.14572.
  89. A. Accardi, P. Achenbach, D. Adhikari, A. Afanasev, C. S. Akondi, N. Akopov, M. Albaladejo, H. Albataineh, M. Albrecht, B. Almeida-Zamora et al., arXiv:2306.09360.
  90. I. Babiarz, V. P. Goncalves, W. Schäfer, and A. Szczurek, Phys. Lett. B 843, 138046 (2023).

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Phys. Rev. D 109, L031902– Published 29 February, 2024
  • Received 10 December 2023
  • Accepted 6 February 2024
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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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