Skip to main content
SpringerLink
Log in

Baryonium, tetraquark state and glueball in large-Nc QCD

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

From the large-\(N_c\) QCD point of view, baryonia, tetraquark states, hybrids, and glueballs are studied. The existence of these states is argued for. They are constructed from baryons. In \(N_f=1\) large-\(N_c\) QCD, a baryonium is always identical to a glueball with \(N_c\) valence gluons. The ground state \(0^{-+}\) glueball has a mass of about 2450 MeV. \(f_0(1710)\) is identified as the lowest \(0^{++}\) glueball. The lowest four-quark nonet should be \(f_0(1370)\), \(a_0(1450)\), \(K^{\ast}_0(1430)\) and \(f_0(1500)\). Combining with the heavy quark effective theory, spectra of heavy baryonia and heavy tetraquark states are predicted. \(1/N_c\) corrections are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. ’t Hooft, Nucl. Phys. B 72, 461 (1974)

    Article  ADS  Google Scholar 

  2. G. Veneziano, Nucl. Phys. B 117, 519 (1976)

    Article  ADS  Google Scholar 

  3. E. Witten, Nucl. Phys. B 160, 57 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  4. E. Witten, Nucl. Phys. B 223, 433 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  5. T.H.R. Skyrme, Proc. R. Soc. London A 260, 127 (1961)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. E. Fermi, C.-N. Yang, Phys. Rev. 76, 1739 (1949)

    Article  MATH  ADS  Google Scholar 

  7. S. Sakita, Prog. Theor. Phys. 16, 686 (1956)

    Article  ADS  Google Scholar 

  8. C.-Z. Yuan, X.-H. Mo, P. Wang, Phys. Lett. B 626, 95 (2005)

    Article  ADS  Google Scholar 

  9. J.-L. Gervais, B. Sakita, Phys. Rev. Lett. 52, 87 (1984)

    Article  ADS  Google Scholar 

  10. R.F. Dashen, A.V. Manohar, Phys. Lett. B 315, 425 (1993)

    Article  ADS  Google Scholar 

  11. C. Carone, H. Georgi, S. Osofsky, Phys. Lett. B 322, 227 (1994)

    Article  ADS  Google Scholar 

  12. M.A. Luty, J. March-Russell, Nucl. Phys. B 426, 71 (1994)

    Article  ADS  Google Scholar 

  13. E. Jenkins, Phys. Lett. B 315, 431 (1993)

    Article  ADS  Google Scholar 

  14. E. Jenkins, Phys. Rev. D 54, 4515 (1996)

    Article  ADS  Google Scholar 

  15. E. Jenkins, Phys. Rev. D 55, R10 (1997)

    Article  ADS  Google Scholar 

  16. M.-L. Yan, S. Li, B. Wu, B.-Q. Ma, Phys. Rev. D 72, 034027 (2005)

    Article  ADS  Google Scholar 

  17. G.-J. Ding, M.-L. Yan, Phys. Rev. C 72, 015208 (2005)

    Article  ADS  Google Scholar 

  18. I.S. Shapiro, Phys. Rep. 35, 129 (1978)

    Article  ADS  Google Scholar 

  19. C.B. Dover, Tucson Part. Nucl. Phys., 381 (1991)

  20. J.-M. Richard, Nucl. Phys. Proc. Suppl. 86, 361 (2000) [nucl-th/9909030]

    Article  ADS  Google Scholar 

  21. C.B. Dover, T. Gutsche, A. Faessler, Phys. Rev. C 43, 379 (1991)

    Article  ADS  Google Scholar 

  22. D.R. Entem, F. Fernández, Phys. Rev. C 73, 045214 (2006)

    Article  ADS  Google Scholar 

  23. R. Alkofer, L. von Smekal, Phys. Rep. 353, 281 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  24. BES Collaboration, J.Z. Bai et al., Phys. Rev. Lett. 91, 022001 (2003)

    Article  ADS  Google Scholar 

  25. BES Collaboration, M. Ablikim et al., Phys. Rev. Lett. 95, 262001 (2005)

    Article  ADS  Google Scholar 

  26. J.L. Rosner, Phys. Rev. D 68, 014004 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  27. A. Datta, P.J. O’Donnell, Phys. Lett. B 567, 273 (2003)

    Article  ADS  Google Scholar 

  28. C.-S. Gao, S.-L. Zhu, Commun. Theor. Phys. 42, 844 (2004)

    Google Scholar 

  29. B.-S. Zou, H.-C. Chiang, Phys. Rev. D 69, 034004 (2004)

    Article  ADS  Google Scholar 

  30. C.-H. Chang, H.-R. Pang, Commun. Theor. Phys. 43, 275 (2005)

    Google Scholar 

  31. N. Kochelev, D.-P. Min, Phys. Lett. B 633, 283 (2006)

    Article  ADS  Google Scholar 

  32. X.-G. He, X.-Q. Li, X. Liu, J.P. Ma, Eur. Phys. J. C 49, 731 (2007)

    Article  ADS  Google Scholar 

  33. B.-A. Li, Phys. Rev. D 74, 034019 (2006)

    Article  ADS  Google Scholar 

  34. Z.-G. Wang, S.-L. Wan, J. Phys. G 34, 505 (2007)

    Article  ADS  Google Scholar 

  35. BES Collaboration, M. Ablikim et al., Phys. Rev. Lett. 93, 112002 (2004)

    Article  ADS  Google Scholar 

  36. C. Morningstar, M. Peardon, Phys. Rev. D 56, 4043 (1997)

    Article  ADS  Google Scholar 

  37. W. Lee, D. Weingarten, Phys. Rev. D 61, 014015 (2000)

    Article  ADS  Google Scholar 

  38. Chuan Liu, Chin. Phys. Lett. 18, 187 (2001)

    Article  ADS  Google Scholar 

  39. A. Hart, M. Teper, Phys. Rev. D 65, 34502 (2002)

    Article  ADS  Google Scholar 

  40. C. Michael, in: Hadronic Physics from Lattice QCD, p. 103 [hep-lat/0302001]

  41. Particle Data Group, W.-M. Yao et al., J. Phys. G 33, 1 (2006)

    Article  ADS  Google Scholar 

  42. R.L. Jaffe, Phys. Rev. D 15, 267 (1977), 281

    Article  ADS  Google Scholar 

  43. H.J. Lipkin, Phys. Lett. B 70, 113 (1977)

    Article  ADS  Google Scholar 

  44. H.-Y. Cheng, W.-S. Hou, Phys. Lett. B 566, 193 (2003)

    Article  ADS  Google Scholar 

  45. T. Barnes, F.E. Close, H.J. Lipkin, Phys. Rev. D 68, 054006 (2003)

    Article  ADS  Google Scholar 

  46. A.P. Szczepaniak, Phys. Lett. B 567, 23 (2003)

    Article  ADS  Google Scholar 

  47. K. Terasaki, Phys. Rev. D 68, 011501(R) (2003)

    Article  ADS  Google Scholar 

  48. Y.-Q. Chen, X.-Q. Li, Phys. Rev. Lett. 93, 232001 (2003)

    Article  ADS  Google Scholar 

  49. Y.-R. Liu, S.-L. Zhu, Y.-B. Dai, C. Liu, Phys. Rev. D 70, 094009 (2004)

    Article  ADS  Google Scholar 

  50. T. Browder, S. Pakvasa, A. Petrov, Phys. Lett. B 578, 365 (2004)

    Article  ADS  Google Scholar 

  51. J. Vijande, F. Fernandez, A. Valcarce, Phys. Rev. D 73, 034002 (2006)

    Article  ADS  Google Scholar 

  52. S.L. Olsen, Int. J. Mod. Phys. A 20, 240 (2005)

    Article  ADS  Google Scholar 

  53. N. Barnea, J. Vijande, A. Valcarce, Phys. Rev. D 73, 054004 (2006)

    Article  ADS  Google Scholar 

  54. H.-X. Zhang, W.-L. Wang, Y.-B. Dai, Z.-Y. Zhang, hep-ph/0607207

  55. F. Buccella, H. Hogaasen, J.-M. Richard, P. Sorba, Eur. Phys. J. C 49, 743 (2007)

    Article  ADS  Google Scholar 

  56. L. Maiani, V. Riquer, F. Piccinini, A.D. Polosa, Phys. Rev. D 72, 031502 (2005)

    Article  ADS  Google Scholar 

  57. L. Maiani, F. Piccinini, A.D. Polosa, V. Riquer, Phys. Rev. Lett. 93, 212002 (2004)

    Article  ADS  Google Scholar 

  58. L. Maiani, F. Piccinini, A.D. Polosa, V. Riquer, Eur. Phys. J. C 50, 609 (2007)

    Article  ADS  Google Scholar 

  59. N. Isgur, M.B. Wise, In: B Decays, 2nd edn., ed. by B. Stone (World Scientific, Singapore, 1994), p. 231

    Google Scholar 

  60. M. Neubert, Phys. Rep. 245, 259 (1994)

    Article  ADS  Google Scholar 

  61. I. Bigi, M. Shifman, N. Uraltsev, Ann. Rev. Nucl. Part. Sci. 47, 591 (1997)

    Article  ADS  Google Scholar 

  62. E. Jenkins, A.V. Manohar, M.B. Wise, Nucl. Phys. B 396, 27 (1993)

    Article  ADS  Google Scholar 

  63. E. Jenkins, A.V. Manohar, M.B. Wise, Nucl. Phys. B 396, 38 (1993)

    Article  ADS  Google Scholar 

  64. C.G. Callan, I. Klebanov, Nucl. Phys. B 262, 222 (1985)

    Google Scholar 

  65. Y.-S. Oh, D.-P. Min, M. Rho, N.N. Scoccola, Nucl. Phys. A 534, 493 (1991)

    Article  ADS  Google Scholar 

  66. C.-K. Chow, M.B. Wise, Phys. Rev. D 50, 2135 (1994)

    Article  ADS  Google Scholar 

  67. C.-K. Chow, Phys. Rev. D 51, 1224 (1995)

    Article  ADS  Google Scholar 

  68. C.-K. Chow, T.D. Cohen, Phys. Rev. Lett. 84, 5474 (2000)

    Article  ADS  Google Scholar 

  69. C. Liu, Phys. Rev. D 57, 1991 (1998)

    Article  ADS  Google Scholar 

  70. J.-P. Lee, C. Liu, H.S. Song, Phys. Rev. D 58, 014013 (1998)

    Article  ADS  Google Scholar 

  71. J.-P. Lee, C. Liu, H.S. Song, Phys. Rev. D 59, 034002 (1999)

    Article  ADS  Google Scholar 

  72. J.-P. Lee, C. Liu, H.S. Song, Phys. Rev. D 62, 096001 (2000)

    Article  ADS  Google Scholar 

  73. Y.-B. Dai, C.-S. Huang, M.-Q. Huang, C. Liu, Phys. Lett. B 387, 379 (1996)

    Article  ADS  Google Scholar 

  74. C.-F. Qiao, Phys. Lett. B 639, 263 (2006)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing, 100080, P.R. China

    Chun Liu

Authors
  1. Chun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chun Liu.

Additional information

PACS

12.39.Mk; 14.20.-c; 12.38.Lg

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, C. Baryonium, tetraquark state and glueball in large-Nc QCD. Eur. Phys. J. C 53, 413–419 (2008). https://doi.org/10.1140/epjc/s10052-007-0471-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-007-0471-8

Keywords

Search

Navigation