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Analysis of the Ξb(6227) as the \(\frac {1}{2}^{\pm }\) Pentaquark Molecular States with QCD Sum Rules

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Abstract

In this paper, we design the Ξb(6227) as the pentaquark molecular states with quantum numbers \(J^{P}=\frac {1}{2}^{\pm }\) to study its inner structure. We employ the QCD sum rule approach to calculate the masses and pole residues of pentaquark molecular states by taking the vacuum condensates up to dimension 13 in the operator product expansion. In comparison with the experiment data, it is found that our calculation results support assigning the Ξb(6227) to be the pentaquark molecular state with quantum number \(J^{P}=\frac {1}{2}^{-}\).

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References

  1. Aaltonen, T., et al.: . Phys. Rev. Lett. 99, 202001 (2007)

    ADS  Google Scholar 

  2. Basile, M., et al.: . Lett. Nuovo. Cimento. 31, 97 (1981)

    Google Scholar 

  3. Aaij, R., et al.: . Phys. Rev. Lett. 24, 242002 (2014)

    ADS  Google Scholar 

  4. Aaij, R., et al.: . Phys. Rev. Lett. 114, 062004 (2015)

    ADS  Google Scholar 

  5. Aaij, R., et al.: . Phys. Rev. Lett. 113, 032001 (2014)

    ADS  Google Scholar 

  6. Aaij, R., et al.: . Phys. Rev. Lett. 113, 242002 (2014)

    ADS  Google Scholar 

  7. Aaij, R., et al.: . J. High Energy Phys. 05, 161 (2016)

    ADS  Google Scholar 

  8. Aaij, R., et al.: . Phys. Rev. Lett. 109, 172003 (2012)

    ADS  Google Scholar 

  9. Aaltonen, T.A., et al.: . Phys. Rev. D88, 071101 (2013)

    ADS  Google Scholar 

  10. Aaij, R., et al.: . Phys. Rev. Lett. 121, 072002 (2018)

    ADS  Google Scholar 

  11. Chen, B., Wei, K.W., Liu, X., Zhang, A.: . Phys. Rev. D98, 031502 (2017)

    ADS  Google Scholar 

  12. Wang, K.L., Lu, Q.F., Zhong, X.H.: . Phys. Rev. D99, 014011 (2019)

    ADS  Google Scholar 

  13. Aliev, T.M., Azizi, K., Sarac, Y. , Sundu, H.: . Phys. Rev. D98, 094014 (2018)

    ADS  Google Scholar 

  14. Huang, Y., Xiao, C.j., Geng, L.S., He, J.: . Phys. Rev. D99, 014008 (2019)

    ADS  Google Scholar 

  15. Yu, Q.X., Pavao, C.R., Debastiani, V.R., Oset, E.: . Eur. Phys. J. C79, 167 (2019)

    ADS  Google Scholar 

  16. Garcia-Recio, C., Nieves, J., Romanets, O., Salcedo, L.L., Tolos, L.: . Phys. Rev. D 87, 034032 (2013)

    ADS  Google Scholar 

  17. Shifman, M.A., Vainshtein, A.I., Zakharov, V.I.: . Nucl. Phys. B147, 385 (1979)

    ADS  Google Scholar 

  18. Reinders, L.J., Rubinstein, H., Yazaki, S.: . Phys. Rept. 127, 1 (1985)

    ADS  Google Scholar 

  19. Liu, X., Chen, H.X., Liu, Y.R., Hosaka, A., Zhu, S.L.: . Phys. Rev. D77, 014031 (2008)

    ADS  Google Scholar 

  20. Wang, Z.G.: . Eur. Phys. J. C54, 231 (2008)

    ADS  Google Scholar 

  21. Wang, Z.G.: . Eur. Phys. J. C68, 459 (2010)

    ADS  Google Scholar 

  22. Wang, Z.G.: . Eur. Phys. J A47, 81 (2011)

    ADS  Google Scholar 

  23. Mao, Q., Chen, H.X., Chen, W., Hosaka, A., Liu, X., Zhu, S.L.: . Phys. Rev. D92, 114007 (2015)

    ADS  Google Scholar 

  24. Agaev, S.S., Azizi, K., Sundu, H.: . EPL B118, 61001 (2017)

    ADS  Google Scholar 

  25. Chen, H.X., Mao, Q., Hosaka, A., Liu, X., Zhu, S.L.: . Phys. Rev. D94, 114016 (2016)

    ADS  Google Scholar 

  26. Durues, F.O., Nielsen, M.: . Phys. Lett. B658, 40 (2007)

    ADS  Google Scholar 

  27. Wang, Z.G.: . Int. J. Mod. Phys. A34, 1950097 (2019)

    ADS  Google Scholar 

  28. Wang, Z.G., Zhang, J.X.: . Eur. Phys. J C78, 503 (2018)

    ADS  Google Scholar 

  29. Chen, H.X., Mao, Q., Chen, W., Hosaka, A., Liu, X., Zhu, S.L.: . Phys. Rev. D95, 094008 (2017)

    ADS  Google Scholar 

  30. Wang, Z.G., Wei, X.N., Yan, Z.H.: . Eur. Phys. J C77, 832 (2017)

    ADS  Google Scholar 

  31. Wang, Z.G.: . Eur. Phys. J C77, 325 (2017)

    ADS  Google Scholar 

  32. Chen, H.X., Chen, W., Liu, X., Zhu, S.L.: . Phys. Rept. 639, 1 (2016)

    ADS  Google Scholar 

  33. Chen, H.X., Chen, W., Liu, X., Steele, T.G., Zhu, S.L.: . Phys. Rev. Lett. 115, 172001 (2015)

    ADS  Google Scholar 

  34. Chung, Y., Dosch, H.G., Kremer, M., Schall, D.: . Nucl. Phys. B197, 55 (1982)

    ADS  Google Scholar 

  35. Jido, D., Kodama, N., Oka, M.: . Phys. Rev. D54, 4532 (1996)

    ADS  Google Scholar 

  36. Wang, Z.G.: . Eur. Phys. J C76, 70 (2016)

    ADS  Google Scholar 

  37. Wang, Z.G., Huang, T.: . Eur. Phys. J C76, 43 (2016)

    ADS  Google Scholar 

  38. Wang, Z.G.: . Eur. Phys. J C76, 142 (2016)

    ADS  Google Scholar 

  39. Wang, Z.G.: . Nucl. Phys. B913, 163 (2016)

    ADS  Google Scholar 

  40. Shifman, M.A., Vainshtein, A.I., Zakharov, V.I.: . Nucl. Phys. B147, 385,448 (1979)

    Google Scholar 

  41. Reinders, L.J., Rubinstein, H., Yazaki, S.: . Phys. Rept. 127, 1 (1985)

    ADS  Google Scholar 

  42. Pascual, P., Tarrach, R.: QCD: Renormalization for the Practitioner. Springer, Berlin (1984)

    Google Scholar 

  43. Wang, Z.G., Huang, T.: . Phys. Rev. D89, 054019 (2014)

    ADS  Google Scholar 

  44. Wang, Z.G.: . Eur. Phys. J C74, 2874 (2014)

    ADS  Google Scholar 

  45. Wang, Z.G., Huang, T.: . Nucl. Phys. A930, 63 (2014)

    ADS  Google Scholar 

  46. Wang, Z.G.: . Commun. Theor. Phys. 63, 466 (2015)

    ADS  Google Scholar 

  47. Colangelo, P., Khodjamirian, A.: arXiv:hep-ph/0010175

  48. Patrignani, C., et al.: . Chin. Phys. C40, 100001 (2016)

    ADS  Google Scholar 

  49. Narison, S., Tarrach, R.: . Phys. Lett. B125, 217 (1983)

    ADS  Google Scholar 

  50. Narison, S.: QCD As a theory of hadrons from partons to confinement. Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 17, 1 (2007)

    Google Scholar 

  51. Wang, Z.G.: . Eur. Phys. J. C79, 489 (2019)

    ADS  Google Scholar 

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Acknowledgements

This work is supported by National Natural Science Foundation, Grant Number 11775079.

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Correspondence to Zhi-Gang Wang.

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Wang, HJ., Di, ZY. & Wang, ZG. Analysis of the Ξb(6227) as the \(\frac {1}{2}^{\pm }\) Pentaquark Molecular States with QCD Sum Rules. Int J Theor Phys 59, 3124–3133 (2020). https://doi.org/10.1007/s10773-020-04566-2

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  • DOI: https://doi.org/10.1007/s10773-020-04566-2

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