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

Final-state rescattering mechanism of doubly-charmed baryon decays: Bcc→BcV

Xiao-Hui Hu1,2,*, Fu-Sheng Yu3,2,†, and Ye Xing1,‡

  • 1The College of Materials and physics, China University of mining and technology, Xuzhou 221116, China
  • 2Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
  • 3Frontiers Science Center for Rare Isotopes, and School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China

  • *Contact author: huxiaohui@cumt.edu.cn
  • †Contact author: yufsh@lzu.edu.cn
  • ‡Contact author: xingye_guang@cumt.edu.cn

Phys. Rev. D 114, 056025 – Published 24 September, 2026

DOI: https://doi.org/10.1103/j8wm-bx8n

Abstract

We study the nonleptonic weak decays of doubly charmed baryons (Bcc) into singly charmed baryons (Bc) and vector mesons (V), denoted as Bcc→BcV. The short-distance contributions are calculated within the naive factorization hypothesis, while the long-distance final-state interaction effects are modeled via hadronic triangle diagrams. Unlike previous approaches, which compute only the imaginary part using the Cutkosky cutting rule, we evaluate the complete loop integrals to obtain both the real and imaginary parts of the amplitudes. These provide the nontrivial strong phases essential for CP violation. The model parameters are determined using experimental data. With this improved calculation method, we predict the branching ratios and decay asymmetry parameters for various decay channels, as well as CP violations for short-distance dominated and singly Cabibbo-suppressed channels. This strengthens our theoretical framework for future study of doubly charmed baryons. Certain decays, primarily driven by long-distance effects, have been calculated, and their observation in future experiments could help clarify the role of final-state interactions in charm baryon decays. Therefore, our calculation of Bcc→BcV provides crucial predictions for branching ratios, decay asymmetry parameters, and CP violation, which are essential for guiding experimental study at LHCb.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (94)

  1. M. Mattson et al. (SELEX Collaboration), Phys. Rev. Lett. 89, 112001 (2002).
  2. A. Ocherashvili et al. (SELEX Collaboration), Phys. Lett. B 628, 18 (2005).
  3. S. P. Ratti, Nucl. Phys. B, Proc. Suppl. 115, 33 (2003).
  4. B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 74, 011103 (2006).
  5. R. Chistov et al. (Belle Collaboration), Phys. Rev. Lett. 97, 162001 (2006).
  6. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 12 (2013) 090.
  7. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 119, 112001 (2017).
  8. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 121, 162002 (2018).
  9. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 121, 052002 (2018).
  10. R. Aaij et al. (LHCb Collaboration), Chin. Phys. C 44, 022001 (2020).
  11. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 05 (2022) 038.
  12. J. He and H. Yin, Chin. Sci. Bull. 69, 4550 (2024).
  13. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 12 (2021) 107.
  14. R. Aaij et al. (LHCb Collaboration), Sci. China Phys. Mech. Astron. 63, 221062 (2020).
  15. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 137, 021902 (2026).
  16. R. Aaij et al. (LHCb Collaboration), Sci. China Phys. Mech. Astron. 64, 101062 (2021).
  17. R. Aaij et al. (LHCb Collaboration), Chin. Phys. C 47, 093001 (2023).
  18. R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 11 (2020) 095.
  19. R. Aaij et al. (LHCb Collaboration), Chin. Phys. C 45, 093002 (2021).
  20. R. Aaij et al. (LHCb Collaboration), Nat. Phys. 18, 751 (2022).
  21. R. Aaij et al. (LHCb Collaboration), Nat. Commun. 13, 3351 (2022).
  22. F. S. Yu, H. Y. Jiang, R. H. Li, C. D. Lü, W. Wang, and Z. X. Zhao, Chin. Phys. C 42, 051001 (2018).
  23. V. V. Kiselev and A. K. Likhoded, Phys. Usp. 45, 455 (2002).
  24. D. Ebert, R. N. Faustov, V. O. Galkin, A. P. Martynenko, and V. A. Saleev, Z. Phys. C 76, 111 (1997).
  25. S. P. Tong, Y. B. Ding, X. H. Guo, H. Y. Jin, X. Q. Li, P. N. Shen, and R. Zhang, Phys. Rev. D 62, 054024 (2000).
  26. D. Ebert, R. N. Faustov, V. O. Galkin, and A. P. Martynenko, Phys. Rev. D 66, 014008 (2002).
  27. S. S. Gershtein, V. V. Kiselev, A. K. Likhoded, and A. I. Onishchenko, Phys. Rev. D 62, 054021 (2000).
  28. W. Roberts and M. Pervin, Int. J. Mod. Phys. A 23, 2817 (2008).
  29. A. Valcarce, H. Garcilazo, and J. Vijande, Eur. Phys. J. A 37, 217 (2008).
  30. Q. F. Lü, K. L. Wang, L. Y. Xiao, and X. H. Zhong, Phys. Rev. D 96, 114006 (2017).
  31. G. L. Yu, Z. Y. Li, Z. G. Wang, J. Lu, and M. Yan, Eur. Phys. J. A 59, 126 (2023).
  32. R. H. Li, C. D. Lü, W. Wang, F. S. Yu, and Z. T. Zou, Phys. Lett. B 767, 232 (2017).
  33. D. Ebert, R. N. Faustov, V. O. Galkin, and A. P. Martynenko, Phys. Rev. D 70, 014018 (2004); Phys. Rev. D77, 079903(E) (2008).
  34. W. Roberts and M. Pervin, Int. J. Mod. Phys. A 24, 2401 (2009).
  35. T. Branz, A. Faessler, T. Gutsche, M. A. Ivanov, J. G. Korner, V. E. Lyubovitskij, and B. Oexl, Phys. Rev. D 81, 114036 (2010).
  36. C. Albertus, E. Hernandez, and J. Nieves, Phys. Lett. B 690, 265 (2010).
  37. Q. Qin, Y. J. Shi, W. Wang, G. H. Yang, F. S. Yu, and R. Zhu, Phys. Rev. D 105, L031902 (2022).
  38. H. Bahtiyar, K. U. Can, G. Erkol, M. Oka, and T. T. Takahashi, Phys. Rev. D 98, 114505 (2018).
  39. H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Rep. Prog. Phys. 80, 076201 (2017).
  40. H. Y. Cheng, Chin. J. Phys. (Taipei) 78, 324 (2022).
  41. H. X. Chen, W. Chen, R. R. Dong, and N. Su, Chin. Phys. Lett. 37, 101201 (2020).
  42. Y. J. Shi, Y. Xing, and Z. X. Zhao, Eur. Phys. J. C 79, 501 (2019).
  43. X. H. Hu and Y. J. Shi, Eur. Phys. J. C 80, 56 (2020).
  44. X. H. Hu and Y. J. Shi, Phys. Rev. D 107, 036007 (2023).
  45. T. M. Aliev, S. Bilmis, and M. Savci, Eur. Phys. J. C 82, 862 (2022).
  46. T. M. Aliev, M. Savci, and S. Bilmis, Phys. Rev. D 106, 034017 (2022).
  47. L. J. Jiang, B. He, and R. H. Li, Eur. Phys. J. C 78, 961 (2018).
  48. C. D. Lu, Y. M. Wang, H. Zou, A. Ali, and G. Kramer, Phys. Rev. D 80, 1 (2009).
  49. H. n. Li, C. D. Lu, and F. S. Yu, Phys. Rev. D 86, 036012 (2012).
  50. J. W. Li, M. Z. Yang, and D. S. Du, High Energy Phys. Nucl. Phys. 27, 665 (2003), arXiv:hep-ph/0206154.
  51. M. Ablikim, D. S. Du, and M. Z. Yang, Phys. Lett. B 536, 34 (2002).
  52. X. Q. Li and B. S. Zou, Phys. Lett. B 399, 297 (1997).
  53. Y. S. Dai, D. S. Du, X. Q. Li, Z. T. Wei, and B. S. Zou, Phys. Rev. D 60, 014014 (1999).
  54. M. P. Locher, Y. Lu, and B. S. Zou, Z. Phys. A 347, 281 (1994).
  55. H. Y. Cheng, C. K. Chua, and A. Soni, Phys. Rev. D 71, 014030 (2005).
  56. C. D. Lu, Y. L. Shen, and W. Wang, Phys. Rev. D 73, 034005 (2006).
  57. J. J. Han, H. Y. Jiang, W. Liu, Z. J. Xiao, and F. S. Yu, Chin. Phys. C 45, 053105 (2021).
  58. T. M. Aliev, K. Azizi, and M. Savci, Phys. Lett. B 696, 220 (2011).
  59. T. M. Yan, H. Y. Cheng, C. Y. Cheung, G. L. Lin, Y. C. Lin, and H. L. Yu, Phys. Rev. D 46, 1148 (1992); 55, 5851(E) (1997).
  60. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. 281, 145 (1997).
  61. U. G. Meissner, Phys. Rep. 161, 213 (1988).
  62. N. Li and S. L. Zhu, Phys. Rev. D 86, 014020 (2012).
  63. T. M. Aliev, K. Azizi, and M. Savci, Nucl. Phys. A852, 141 (2011).
  64. X. H. Hu, C. P. Jia, Y. Xing, and F. S. Yu, Phys. Rev. D 111, 076002 (2025).
  65. R. Aaij et al. (LHCb Collaboration), Phys. Lett. B 724, 27 (2013).
  66. T. Gutsche, M. A. Ivanov, J. G. Körner, and V. E. Lyubovitskij, Phys. Rev. D 98, 074011 (2018).
  67. Q. X. Yu and X. H. Guo, Nucl. Phys. B947, 114727 (2019).
  68. A. V. Berezhnoy, A. K. Likhoded, and A. V. Luchinsky, Phys. Rev. D 98, 113004 (2018).
  69. H. Y. Cheng and C. W. Liu, arXiv:2604.10939.
  70. S. Navas et al. (Particle Data Group Collaboration), Phys. Rev. D 110, 030001 (2024).
  71. H. M. Choi, C. R. Ji, Z. Li, and H. Y. Ryu, Phys. Rev. C 92, 055203 (2015).
  72. T. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D 58, 114006 (1998).
  73. W. Wang, F. S. Yu, and Z. X. Zhao, Eur. Phys. J. C 77, 781 (2017).
  74. K. Nakayama, Y. Oh, J. Haidenbauer, and T. S. H. Lee, Phys. Lett. B 648, 351 (2007).
  75. T. M. Aliev, K. Azizi, and M. Savci, Eur. Phys. J. C 71, 1675 (2011).
  76. Y. H. Lin, C. W. Shen, F. K. Guo, and B. S. Zou, Phys. Rev. D 95, 114017 (2017).
  77. E. Oset and A. Ramos, Eur. Phys. J. A 44, 445 (2010).
  78. A. V. Berezhnoy, V. V. Kiselev, A. K. Likhoded, and A. I. Onishchenko, Phys. Rev. D 57, 4385 (1998).
  79. J. P. Ma and Z. G. Si, Phys. Lett. B 568, 135 (2003).
  80. C. H. Chang, J. P. Ma, C. F. Qiao, and X. G. Wu, J. Phys. G 34, 845 (2007).
  81. C. H. Chang, C. F. Qiao, J. X. Wang, and X. G. Wu, Phys. Rev. D 73, 094022 (2006).
  82. J. W. Zhang, X. G. Wu, T. Zhong, Y. Yu, and Z. Y. Fang, Phys. Rev. D 83, 034026 (2011).
  83. C. H. Chang, C. F. Qiao, J. X. Wang, and X. G. Wu, Phys. Rev. D 71, 074012 (2005).
  84. Y. B. Li et al. (Belle Collaboration), Phys. Rev. D 100, 031101 (2019).
  85. R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 102, 071101 (2020).
  86. S. Zeng, F. Xu, and Y. Gu, Eur. Phys. J. C 85, 184 (2025).
  87. Y. K. Hsiao, L. Yang, C. C. Lih, and S. Y. Tsai, Eur. Phys. J. C 80, 1066 (2020).
  88. M. Adinolfi et al. (LHCb RICH Group Collaboration), Eur. Phys. J. C 73, 2431 (2013).
  89. R. Aaij et al. (LHCb Collaboration), J. Instrum. 10, P02007 (2015).
  90. I. M. Belyaev, E. M. Govorkova, V. Y. Egorychev, and D. V. Savrina, Moscow Univ. Phys. Bull. 70, 497 (2015).
  91. E. Govorkova, Phys. At. Nucl. 79, 1474 (2016).
  92. M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, Nucl. Phys. B591, 313 (2000).
  93. M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, Phys. Rev. D 72, 098501 (2005).
  94. M. Ciuchini, E. Franco, L. Giusti, V. Lubicz, and G. Martinelli, Nucl. Phys. B573, 201 (2000).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation