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

Hunting for BB¯ molecular state Xb0 via radiative transition of ϒ(10753)

Yuan-Jun Gao1, Gang Li1,*, Shi-Dong Liu1,†, and Qi Wu2,‡

  • *Contact author: gli@qfnu.edu.cn
  • †Contact author: liusd@qfnu.edu.cn
  • ‡Contact author: wuqi@htu.edu.cn

Phys. Rev. D 113, 094027 – Published 21 May, 2026

DOI: https://doi.org/10.1103/59l3-3wwk

Abstract

We investigate the radiative decay ϒ(10753)→γXb0 within the framework of nonrelativistic effective field theory (NREFT). The ϒ(10753) is treated as an S−D mixed state of the ϒ(4S) and ϒ1(3D31), while the Xb0 is interpreted as a weakly bound BB¯ molecule with JPC=0++. The decay process was assumed to occur via the intermediate meson loops involving the S-wave B(*) and P-wave B1(′) mesons. Our calculated results indicate that the decay ϒ(10753)→γXb0 is dominated by the B1(′) meson loops. The partial decay width is predicted to be 0.2–1.5 keV for a binding energy range of εX=0–10  MeV, corresponding to a branching fraction of 10−6−10−5. The decay width is found to be insensitive to the full width of the B1′ meson. Our study suggests that the radiative decay of the ϒ(10753) is a promising channel to search for the Xb0 state, which is crucial for testing heavy quark symmetries and understanding the exotic hadron spectrum in the bottom sector.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (70)

  1. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  2. S. Godfrey and S. L. Olsen, The exotic XYZ Charmonium-like mesons, Annu. Rev. Nucl. Part. Sci. 58, 51 (2008).
  3. X. Liu, An overview of XYZ new particles, Chin. Sci. Bull. 59, 3815 (2014).
  4. R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Heavy-quark QCD exotica, Prog. Part. Nucl. Phys. 93, 143 (2017).
  5. F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Hadronic molecules, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  6. N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C. E. Thomas, A. Vairo, and C.-Z. Yuan, The XYZ states: Experimental and theoretical status and perspectives, Phys. Rep. 873, 1 (2020).
  7. H.-X. Chen, W. Chen, X. Liu, Y.-R. Liu, and S.-L. Zhu, An updated review of the new hadron states, Rep. Prog. Phys. 86, 026201 (2023).
  8. S. K. Choi et al. (Belle Collaboration), Observation of a Narrow Charmoniumlike state in exclusive B±→K±π+π−J/ψ decays, Phys. Rev. Lett. 91, 262001 (2003).
  9. R. Aaij et al. (LHCb Collaboration), Determination of the X(3872) meson quantum numbers, Phys. Rev. Lett. 110, 222001 (2013).
  10. W.-S. Hou, Searching for the bottom counterparts of X(3872) and Y(4260) via π+π−ϒ, Phys. Rev. D 74, 017504 (2006).
  11. A. Ozpineci, C. W. Xiao, and E. Oset, Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry, Phys. Rev. D 88, 034018 (2013).
  12. Y.-C. Yang, Z.-Y. Tan, J. Ping, and H.-S. Zong, Possible D(*)D¯(*) and B(*)B¯(*) molecular states in the extended constituent quark models, Eur. Phys. J. C 77, 575 (2017).
  13. Z.-M. Ding, H.-Y. Jiang, and J. He, Molecular states from D(*)D¯(*)/B(*)B¯(*) and D(*)D(*)/B¯(*)B¯(*) interactions, Eur. Phys. J. C 80, 1179 (2020).
  14. M.-J. Zhao, Z.-Y. Wang, C. Wang, and X.-H. Guo, Investigation of the possible DD¯*/BB¯* and DD*/B¯B¯* bound states, Phys. Rev. D 105, 096016 (2022).
  15. S. Chatrchyan et al. (CMS Collaboration), Search for a new bottomonium state decaying to ϒ(1S)π+π− in pp collisions at s=8  TeV, Phys. Lett. B 727, 57 (2013).
  16. G. Aad et al. (ATLAS Collaboration), Search for the Xb and other hidden-beauty states in the π+π−ϒ(1S) channel at ATLAS, Phys. Lett. B 740, 199 (2015).
  17. F.-K. Guo, U.-G. Meißner, W. Wang, and Z. Yang, Production of the bottom analogs and the spin partner of the X(3872) at hadron colliders, Eur. Phys. J. C 74, 3063 (2014).
  18. G. Li and W. Wang, Hunting for the Xb via radiative decays, Phys. Lett. B 733, 100 (2014).
  19. G. Li and Z. Zhou, Hunting for the Xb via hidden bottomonium decays, Phys. Rev. D 91, 034020 (2015).
  20. X. H. He et al. (Belle Collaboration), Observation of e+e−→π+π−π0χbJ and search for Xb→ωϒ(1S) at s=10.867  GeV, Phys. Rev. Lett. 113, 142001 (2014).
  21. I. Adachi et al. (Belle-II Collaboration), Observation of e+e−→ωχbJ(1P) and search for Xb→ωϒ(1S) at s near 10.75 GeV, Phys. Rev. Lett. 130, 091902 (2023).
  22. Z.-S. Jia, Z.-H. Zhang, W.-H. Qin, and G. Li, Hunting for Xb via hidden bottomonium decays Xb→ππχbJ, Phys. Rev. D 109, 034017 (2024).
  23. X.-Y. Wang, Z.-X. Cai, G. Li, S.-D. Liu, C.-S. An, and J.-J. Xie, Production of Xb via ϒ(5S,6S) radiative decays, Eur. Phys. J. C 83, 186 (2023).
  24. S.-D. Liu, H.-D. Cai, Z.-X. Cai, H.-S. Gao, G. Li, F. Wang, and J.-J. Xie, Production of Xb via radiative transition of ϒ(10753), Phys. Rev. D 109, 094045 (2024).
  25. I. Adachi et al. (Belle-II Collaboration), Observation of e+e−→ηϒ(2S) and search for e+e−→ηϒ(1S), γXb at s near 10.75 GeV, Phys. Rev. D 113, L051102 (2026).
  26. N. A. Tornqvist, From the deuteron to deusons, an analysis of deuteronlike meson-meson bound states, Z. Phys. C 61, 525 (1994).
  27. D. Ebert, R. N. Faustov, and V. O. Galkin, Masses of heavy tetraquarks in the relativistic quark model, Phys. Lett. B 634, 214 (2006).
  28. R. D. Matheus, S. Narison, M. Nielsen, and J. M. Richard, Can the X(3872) be a 1++ four-quark state?, Phys. Rev. D 75, 014005 (2007).
  29. A. Ali, C. Hambrock, I. Ahmed, and M. J. Aslam, A case for hidden bb¯ tetraquarks based on e+e−→bb¯ cross section between s=10.54 and 11.20 GeV, Phys. Lett. B 684, 28 (2010).
  30. F.-K. Guo, C. Hidalgo-Duque, J. Nieves, and M. P. Valderrama, Consequences of heavy-quark symmetries for hadronic molecules, Phys. Rev. D 88, 054007 (2013).
  31. T. Aushev et al., Physics at super B factory, arXiv:1002.5012.
  32. M. Ablikim et al. (BESIII Collaboration), Observation of e+e−→γX(3872) at BESIII, Phys. Rev. Lett. 112, 092001 (2014).
  33. H.-W. Ke, X.-Q. Li, Y.-L. Shi, G.-L. Wang, and X.-H. Yuan, Is Zb(10610) a molecular state?, J. High Energy Phys. 04 (2012) 056.
  34. Y.-R. Liu and Z.-Y. Zhang, Bound state problem of S-wave heavy quark meson-aitimeson systems, Phys. Rev. C 80, 015208 (2009).
  35. M. T. Li, W. L. Wang, Y. B. Dong, and Z. Y. Zhang, Possible DD¯ and BB¯ molecular states in a chiral quark model, Int. J. Mod. Phys. A 27, 1250161 (2012).
  36. A. L. M. Britto and L. M. Abreu, Production of a BB¯ bound state via ϒ(4S) radiative decays, Phys. Rev. D 110, 056008 (2024).
  37. F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, and Q. Zhao, Production of the X(3872) in charmonia radiative decays, Phys. Lett. B 725, 127 (2013).
  38. R. Mizuk et al. (Belle Collaboration), Observation of a new structure near 10.75 GeV in the energy dependence of the e+e−→ϒ(nS)π+π− (n=1, 2, 3) cross sections, J. High Energy Phys. 10 (2019) 220.
  39. Y.-S. Li, Z.-Y. Bai, Q. Huang, and X. Liu, Hidden-bottom hadronic decays of ϒ(10753) with a η(′) or ω emission, Phys. Rev. D 104, 034036 (2021).
  40. Y.-S. Li, Z.-Y. Bai, and X. Liu, Investigating the ϒ(10753)→ϒ(1D3J)η transitions, Phys. Rev. D 105, 114041 (2022).
  41. Z.-Y. Bai, Y.-S. Li, Q. Huang, X. Liu, and T. Matsuki, ϒ(10753)→ϒ(nS)π+π− decays induced by hadronic loop mechanism, Phys. Rev. D 105, 074007 (2022).
  42. I. Adachi et al. (Belle-II Collaboration), Search for the e+e−→ηb(1S)ω and e+e→χb0(1P)ω processes at s=10.745  GeV, Phys. Rev. D 109, 072013 (2024).
  43. B. Chen, A. Zhang, and J. He, Bottomonium spectrum in the relativistic flux tube model, Phys. Rev. D 101, 014020 (2020).
  44. Z.-G. Wang, Vector hidden-bottom tetraquark candidate: Y(10750), Chin. Phys. C 43, 123102 (2019).
  45. A. Ali, L. Maiani, A. Y. Parkhomenko, and W. Wang, Interpretation of Yb(10753) as a tetraquark and its production mechanism, Phys. Lett. B 802, 135217 (2020).
  46. J. Tarrús Castellà, Spin structure of heavy-quark hybrids, AIP Conf. Proc. 2249, 020008 (2020).
  47. A. M. Badalian, B. L. G. Bakker, and I. V. Danilkin, Possibility to observe higher nD31 bottomonium states in the e+e− processes, Phys. Rev. D 79, 037505 (2009).
  48. A. M. Badalian, B. L. G. Bakker, and I. V. Danilkin, Dielectron widths of the S-, D-vector bottomonium states, Phys. At. Nucl. 73, 138 (2010).
  49. S. Godfrey and K. Moats, Bottomonium mesons and strategies for their observation, Phys. Rev. D 92, 054034 (2015).
  50. J. Segovia, P. G. Ortega, D. R. Entem, and F. Fernández, Bottomonium spectrum revisited, Phys. Rev. D 93, 074027 (2016).
  51. J.-Z. Wang, Z.-F. Sun, X. Liu, and T. Matsuki, Higher bottomonium zoo, Eur. Phys. J. C 78, 915 (2018).
  52. Q. Li, M.-S. Liu, Q.-F. Lü, L.-C. Gui, and X.-H. Zhong, Canonical interpretation of Y(10750) and ϒ(10860) in the ϒ family, Eur. Phys. J. C 80, 59 (2020).
  53. R.-H. Ni, Q. Deng, J.-J. Wu, and X.-H. Zhong, Bottomonia in an unquenched quark model, Phys. Rev. D 111, 114027 (2025).
  54. Z.-L. Luo, Y.-L. Song, and F.-K. Guo, Decays of ϒ(10860) and ϒ(10753) into ωχbJ, Phys. Lett. B 870, 139960 (2025).
  55. V. Baru, E. Epelbaum, A. A. Filin, C. Hanhart, and A. V. Nefediev, Spin partners of the Zb (10610) and Zb (10650) revisited, J. High Energy Phys. 06 (2017) 158.
  56. W.-H. Liang, N. Ikeno, and E. Oset, ϒ(nl) decay into B(*)B¯(*), Phys. Lett. B 803, 135340 (2020).
  57. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phenomenology of heavy meson chiral Lagrangians, Phys. Rep. 281, 145 (1997).
  58. J. Hu and T. Mehen, Chiral Lagrangian with heavy quark-diquark symmetry, Phys. Rev. D 73, 054003 (2006).
  59. H.-S. Gao, Z.-X. Cai, G. Li, and S.-D. Liu, Light hadronic decays of spin-0 partner of X(3872), Chin. Phys. Lett. 42, 100201 (2025).
  60. S. Weinberg, Evidence that the deuteron is not an elementary particle, Phys. Rev. 137, B672 (1965).
  61. V. Baru, J. Haidenbauer, C. Hanhart, Y. Kalashnikova, and A. E. Kudryavtsev, Evidence that the a0(980) and f0(980) are not elementary particles, Phys. Lett. B 586, 53 (2004).
  62. J. F. Amundson, C. G. Boyd, E. E. Jenkins, M. E. Luke, A. V. Manohar, J. L. Rosner, M. J. Savage, and M. B. Wise, Radiative D* decay using heavy quark and chiral symmetry, Phys. Lett. B 296, 415 (1992).
  63. I. Asghar, B. Masud, E. S. Swanson, F. Akram, and M. Atif Sultan, Decays and spectrum of bottom and bottom strange mesons, Eur. Phys. J. A 54, 127 (2018).
  64. S.-L. Zhu, W.-Y. P. Hwang, and Z.-s. Yang, D*→Dγ and B*→Bγ as derived from QCD sum rules, Mod. Phys. Lett. A 12, 3027 (1997).
  65. H.-M. Choi, Decay constants and radiative decays of heavy mesons in light-front quark model, Phys. Rev. D 75, 073016 (2007).
  66. M.-L. Du, M. Albaladejo, P. Fernández-Soler, F.-K. Guo, C. Hanhart, U.-G. Meißner, J. Nieves, and D.-L. Yao, Towards a new paradigm for heavy-light meson spectroscopy, Phys. Rev. D 98, 094018 (2018).
  67. Q. Wu, D.-Y. Chen, and F.-K. Guo, Production of the Zb(′) states from the ϒ(5S,6S) decays, Phys. Rev. D 99, 034022 (2019).
  68. F.-K. Guo, C. Hanhart, G. Li, U.-G. Meißner, and Q. Zhao, Effect of charmed meson loops on charmonium transitions, Phys. Rev. D 83, 034013 (2011).
  69. F.-K. Guo, C. Hanhart, G. Li, U.-G. Meißner, and Q. Zhao, Novel analysis of the decays ψ′→hcπ0 and ηc′→χc0π0, Phys. Rev. D 82, 034025 (2010).
  70. F.-K. Guo and U.-G. Meißner, Light quark mass dependence in heavy Quarkonium physics, Phys. Rev. Lett. 109, 062001 (2012).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation