Skip to main content
Log in

Magnetic moment of the pentaquark Θ+(1540) as diquark-diquark-antiquark state with QCD sum rules

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

Abstract.

In this article, we study the magnetic moment of the pentaquark state Θ+(1540) as a diquark-diquark-antiquark (\([ud][ud]\bar{s}\)) state with the QCD sum rules in an external weak electromagnetic field (EFSR) and the light-cone QCD sum rules (LCSR) respectively. The numerical results indicate that the magnetic moment is about \(\mu_{\Theta^ + } = -(0.11\pm 0.02)\mu_N\) for the EFSR and \(\mu_{\Theta^ + }\approx-(0.1\)-\(0.5)\mu_N\) for the LCSR. As the values obtained from the EFSR are more stable than the corresponding ones from the LCSR, \(\mu_{\Theta^ + } = -(0.11\pm 0.02)\mu_N\) is more reliable.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. LEPS collaboration, T. Nakano et al. , Phys. Rev. Lett. 91, 012002 (2003); DIANA Collaboration, V.V. Barmin et al. , Phys. Atom. Nucl. 66, 1715 (2003); CLAS Collaboration, S. Stepanyan et al. , Phys. Rev. Lett. 91, 252001 (2003); CLAS Collaboration, V. Kubarovsky et al. , Phys. Rev. Lett. 92, 032001 (2004); SAPHIR Collaboration, J. Barth et al. , Phys. Lett. B 572, 127 (2003); A.E. Asratyan, A.G. Dolgolenko, M.A. Kubantsev, Phys. Atom. Nucl. 67, 682 (2004); HERMES Collaboration, A. Airapetian et al. , Phys. Lett. B 585, 213 (2004); SVD Collaboration, A. Aleev et al. , hep-ex/0401024; ZEUS Collaboration, S.V. Chekanov, hep-ex/0404007; CLAS Collaboration, H.G. Juengst, nucl-ex/0312019

    Google Scholar 

  2. For example, D. Diakonov, V. Petrov, M.V. Polyakov, Z. Phys. A 359, 305 (1997); R. Jaffe, F. Wilczek, Phys. Rev. Lett. 91, 232003 (2003); M. Karliner, H.J. Lipkin, Phys. Lett. B 575, 249 (2003); S.L. Zhu, Phys. Rev. Lett. 91, 232002 (2003); J. Sugiyama, T. Doi, M. Oka, Phys. Lett. B 581, 167 (2004); M. Eidemüller, Phys. Lett. B 597, 314 (2004); T.W. Chiu, T.H. Hsieh, hep-ph/0403020; C.E. Carlson C.D. Carone, H.J. Kwee, V. Nazaryan, Phys. Rev. D 70, 037501 (2004); E. Shuryak, I. Zahed, Phys. Lett. B 589, 21 (2004); F. Huang, Z.Y. Zhang, Y.W. Yu, B.S. Zou, Phys. Lett. B 586, 69 (2004); C.E. Carlson, C.D. Carone, H.J. Kwee, V. Nazaryan, Phys. Lett. B 579, 52 (2004); Y.S. Oh, H.C. Kim, S.H. Lee, Phys. Rev. D 69, 014009 (2004); J. Haidenbauer, G. Krein, Phys. Rev. C 68, 052201 (2003); F. Csikor, Z. Fodor, S.D. Katz, T.G. Kovacs, JHEP 0311, 070 (2003); T.D. Cohen, Phys. Lett. B 581, 175 (2004); L.Ya. Glozman, Phys. Lett. B 575, 18 (2003); N. Ishii, T. Doi, H. Iida, M. Oka, F. Okiharu, H. Suganuma, Phys. Rev. D 71, 034001 (2005); N. Mathur, F.X. Lee, A. Alexandru, C. Bennhold, Y. Chen, S.J. Dong, T. Draper, I. Horvath, K.F. Liu, S. Tamhankar, J.B. Zhang, Phys. Rev. D 70, 074508 (2004); F. Stancu, D.O. Riska, Phys. Lett. B 575, 242 (2003); C.E. Carlson C.D. Carone, H.J. Kwee, V. Nazaryan, Phys. Lett. B 573, 101 (2003); Z.G. Wang, W.M. Yang, S.L. Wan, hep-ph/0504151; S. Sasaki, Phys. Rev. Lett. 93, 152001 (2004); hep-lat/0410016

    Google Scholar 

  3. M. Oka, Prog. Theor. Phys. 112, 1 (2004); S.L. Zhu, Int. J. Mod. Phys. A 19, 3439 (2004); hep-ph/0410002; F.E. Close, hep-ph/0311087; B.K. Jennings, K. Maltman, Phys. Rev. D 69, 094020 (2004); and references therein

    Article  ADS  MATH  Google Scholar 

  4. A.W. Thomas, K. Hicks, A. Hosaka, Prog. Theor. Phys. 111, 291 (2004)

    Article  ADS  Google Scholar 

  5. P.Z. Huang, W.Z. Deng, X.L. Chen, S.L. Zhu, Phys. Rev. D 69, 074004 (2004)

    ADS  Google Scholar 

  6. Q. Zhao, Phys. Rev. D 69, 053009 (2004); [Erratum D 70, 039901 (2004)]

    Article  ADS  Google Scholar 

  7. H.C. Kim, M. Praszalowicz, Phys. Lett. B 585, 99 (2004)

    ADS  Google Scholar 

  8. S.I. Nam, A. Hosaka, H.C. Kim, Phys. Lett. B 579, 43 (2004)

    ADS  Google Scholar 

  9. Y.R. Liu, P.Z. Huang, W.Z. Deng, X.L. Chen, S.L. Zhu, Phys. Rev. C 69, 035205 (2004)

    ADS  Google Scholar 

  10. T. Inoue, V.E. Lyubovitskij, T. Gutsche, A. Faessler, hep-ph/0408057

  11. R. Bijker, M.M. Giannini, E. Santopinto, Phys. Lett. B 595, 260 (2004)

    ADS  Google Scholar 

  12. K. Goeke, H.C. Kim, M. Praszalowicz, G.S. Yang, hep-ph/0411195

  13. D.K. Hong, Y.J. Sohn, I. Zahed, Phys. Lett. B 596, 191 (2004)

    ADS  Google Scholar 

  14. P. Jimenez Delgado, hep-ph/0409128

  15. Z.G. Wang, W.M. Yang, S.L. Wan, J. Phys. G 31, 703 (2005)

    ADS  Google Scholar 

  16. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385, 448 (1979)

    ADS  Google Scholar 

  17. B.L. Ioffe, A.V. Smilga Nucl. Phys. B 232, 109 (1984); I.I. Balitsky, A.V. Yung, Phys. Lett. B 129, 328 (1983)

    ADS  Google Scholar 

  18. I.I. Balitsky, V.M. Braun, A.V. Kolesnichenko, Sov. J. Nucl. Phys. 44, 1028 (1986); Nucl. Phys. B 312, 509 (1989); V.L. Chernyak, I.R. Zhitnitsky, Nucl. Phys. B 345, 137 (1990); Phys. Rep. 112, 173 (1984)

    Google Scholar 

  19. V.M. Braun, I.E. Filyanov, Z. Phys. C 44, 157 (1989)

    Article  Google Scholar 

  20. T.M. Aliev, I. Kanik, M. Savci, Phys. Rev. D 68, 056002 (2003); T.M. Aliev, A. Ozpineci, M. Savci, Phys. Rev. D 66, 016002 (2002) [Erratum D 67, 039901 (2003)]; D 65, 096004 (2002); D 65, 056008 (2002); Phys. Lett. B 516, 299 (2001); Nucl. Phys. A 678, 443 (2000); T.M. Aliev, A. Ozpineci, Phys. Rev. D 62, 053012 (2000)

    Article  ADS  Google Scholar 

  21. R.D. Matheus, F.S. Navarra, M. Nielsen, R. Rodrigues da Silva, S.H. Lee, Phys. Lett. B 578, 323 (2004)

    ADS  Google Scholar 

  22. A. De Rujula, H. Georgi, S.L. Glashow, Phys. Rev. D 12, 147 (1975); T. DeGrand, R.L. Jaffe, K. Johnson, J.E. Kiskis, Phys. Rev. D 12, 2060 (1975); G. 't Hooft, Phys. Rev. D 14, 3432 (1976) [Erratum D 18, 2199 (1978)]; E.V. Shuryak, Nucl. Phys. B 203, 93 (1982); T. Schafer, E.V. Shuryak, Rev. Mod. Phys. 70, 323 (1998); E. Shuryak, I. Zahed, Phys. Lett. B 589, 21 (2004)

    ADS  Google Scholar 

  23. M. Eidemuller, F.S. Navarra, M. Nielsen, R. Rodrigues da Silva, hep-ph/0503193

  24. M. Aw, M.K. Banerjee, H. Forkel, Phys. Lett. B 454, 147 (1999); H. Forkel, hep-ph/0009274

    ADS  Google Scholar 

  25. V. Chung, H.G. Dosch, M. Kremer, D. Scholl, Nucl. Phys. B 197, 55 (1982); H.G. Dosch, M. Jamin, S. Narison, Phys. Lett. B 220, 251 (1989)

    Article  ADS  Google Scholar 

  26. Z.G. Wang, W.M. Yang, S.L. Wan, hep-ph/0501015

  27. V.M. Belyaev, Y.I. Kogan, Yad. Fiz. 40, 1035 (1984)

    Google Scholar 

  28. Z.G. Wang, J. Phys. G 28, 3007 (2002)

    ADS  Google Scholar 

  29. V.M. Braun, I.E. Filyanov, Z. Phys. C 48, 239 (1990); A. Ali, V.M. Braun, Phys. Lett. B 359, 223 (1995); G. Eilam, I. Halperin, R.R. Mendel, Phys. Lett. B 361, 137 (1995); P. Ball, V.M. Braun, N. Kivel, Nucl. Phys. B 649, 263 (2003)

    Article  Google Scholar 

  30. V.M. Belyaev, V.M. Braun, A. Khodjamirian, R. Rückl, Phys. Rev. D 51, 6177 (1995); H. Kim, S.H. Lee, M. Oka, Prog. Theor. Phys. 109, 371 (2003); Z.G. Wang, W.M. Yang, S.L. Wan, Eur. Phys. J. C 37, 223 (2004)

    Article  ADS  Google Scholar 

  31. P. Colangelo, A. Khodjamirian, hep-ph/0010175; B.L. Ioffe, hep-ph/0502148

  32. R.D. Matheus, S. Narison, hep-ph/0412063

  33. W. Wei, P.Z. Huang, H.X. Chen, S.L. Zhu, hep-ph/0503166

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Z. G. Wang.

Additional information

Received: 29 March 2005, Revised: 28 June 2005, Published online: 21 October 2005

PACS:

12.38.Aw, 12.38.Lg, 12.39.Ba, 12.39.-x

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, Z.G., Wan, S.L. & Yang, W.M. Magnetic moment of the pentaquark Θ+(1540) as diquark-diquark-antiquark state with QCD sum rules. Eur. Phys. J. C 45, 201–209 (2006). https://doi.org/10.1140/epjc/s2005-02400-1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2005-02400-1

Keywords

Navigation