Thermal properties of the exotic X(3872) state via QCD sum rule

Regular Article
  • 10 Downloads

Abstract.

In this work we investigate the X(3872) meson with quantum numbers \( J^{PC}=1^{++}\) in the framework of the thermal QCD sum rules method. We use a diquark-antidiquark current with the corresponding quantum numbers and calculate the two-point correlation function including contributions of non-perturbative condensates up to six dimensions. Analysis of the obtained thermal sum rule allows us to study contributions of a medium to the mass and coupling constant of the X(3872) resonance. Our numerical calculations demonstrate that the mass and the meson-current coupling constant are insensitive to the variation of temperature up to \(T=110\) MeV; however, after this point, they start to fall by increasing the temperature. At deconfinement temperature, the meson-current coupling constants attain roughly to 34% of the vacuum value.

References

  1. 1.
    Belle Collaboration (S.K. Choi et al.), Phys. Rev. Lett. 91, 262001 (2003)CrossRefGoogle Scholar
  2. 2.
    CDF Collaboration (D. Acosta et al.), Phys. Rev. Lett. 93, 072001 (2004)CrossRefGoogle Scholar
  3. 3.
    D0 Collaboration (V.M. Abazov et al.), Phys. Rev. Lett. 93, 162002 (2004)CrossRefGoogle Scholar
  4. 4.
    Belle Collaboration (I. Adachi et al.), Phys. Rev. Lett. 108, 032001 (2012)CrossRefGoogle Scholar
  5. 5.
    Belle Collaboration (K.F. Chen et al.), Phys. Rev. Lett. 100, 112001 (2008)CrossRefGoogle Scholar
  6. 6.
    LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 115, 072001 (2015)ADSCrossRefGoogle Scholar
  7. 7.
    E.S. Swanson, Phys. Rep. 429, 243 (2006)ADSCrossRefGoogle Scholar
  8. 8.
    J.M. Richard, Nucl. Phys. (Proc. Suppl.) B 164, 131 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    S.L. Zhu, Int. J. Mod. Phys. E 17, 283 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    S. Godfrey, S.L. Olsen, Ann. Rev. Nucl. Part. Sci. 58, 51 (2008)ADSCrossRefGoogle Scholar
  11. 11.
    M. Nielsen, F.S. Navarra, S.H. Lee, Phys. Rep. 497, 41 (2010)ADSCrossRefGoogle Scholar
  12. 12.
    W. Chen, S.L. Zhu, Phys. Rev. D 83, 034010 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    N. Brambilla et al., Eur. Phys. J. C 71, 1534 (2011)ADSCrossRefGoogle Scholar
  14. 14.
    R.M. Albuquerque, PhD Thesis, Univ. São Paulo (Brazil) and Univ. Montpellier 2 (France), arXiv:1306.4671 [hep-ph]Google Scholar
  15. 15.
    X. Liu, Chin. Sci. Bull. 59, 3815 (2014)CrossRefGoogle Scholar
  16. 16.
    G.T. Bodwin, E. Braaten, E. Eichten, S.L. Olsen, T.K. Pedlar, J. Russ, FERMILAB-CONF-13-665-T, arXiv:1307.7425 [hep-ph]Google Scholar
  17. 17.
    M. Nielsen, Nucl. Part. Phys. Proc. 258-259, 139 (2015)CrossRefGoogle Scholar
  18. 18.
    E. Braaten, EPJ Web of Conferences 113, 01015 (2016)CrossRefGoogle Scholar
  19. 19.
    A. Esposito, A.L. Guerrieri, F. Piccinini, A. Pilloni, A.D. Polosa, Int. J. Mod. Phys. A 30, 1530002 (2015)ADSCrossRefGoogle Scholar
  20. 20.
    H.-X. Chen et al., Phys. Rep. 631, 1 (2016)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    R.A. Briceno et al., Chin. Phys. C 40, 042001 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    Z.G. Wang, Eur. Phys. J. C 76, 387 (2016)ADSCrossRefGoogle Scholar
  23. 23.
    A. Ali, DESY 16-090, arXiv:1605.05954 [hep-ph]Google Scholar
  24. 24.
    Z.G. Wang, Eur. Phys. J. C 77, 78 (2017)ADSCrossRefGoogle Scholar
  25. 25.
    Z.G. Wang, Eur. Phys. J. C 76, 657 (2016)ADSCrossRefGoogle Scholar
  26. 26.
    BaBar Collaboration (B. Aubert et al.), Phys. Rev. D 71, 071103 (2005)CrossRefGoogle Scholar
  27. 27.
    BaBar Collaboration (B. Aubert et al.), Phys. Rev. Lett. 95, 142001 (2005)CrossRefGoogle Scholar
  28. 28.
    LHCb Collaboration (R. Aaij et al.), Nucl. Phys. B 886, 665 (2014)CrossRefGoogle Scholar
  29. 29.
    M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)ADSCrossRefGoogle Scholar
  30. 30.
    L.J. Reinders, H. Rubinstein, S. Yazaki, Phys. Rep. 127, 1 (1985)ADSCrossRefGoogle Scholar
  31. 31.
    P. Colangelo, A. Khodjamirian, in At the Frontier of Particle Physics, edited by M. Shifman, (World Scientific, 2001) pp. 1495--1576Google Scholar
  32. 32.
    S. Narison, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 17, 1 (2002)Google Scholar
  33. 33.
    A.I. Bochkarev, M.E. Shaposhnikov, Nucl. Phys. B 268, 220 (1986)ADSCrossRefGoogle Scholar
  34. 34.
    T. Hatsuda, Y. Koike, S.H. Lee, Nucl. Phys. B 394, 221 (1993)ADSCrossRefGoogle Scholar
  35. 35.
    K. Morita, S.H. Lee, Phys. Rev. Lett. 100, 022301 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    P. Gubler, K. Morita, M. Oka, Phys. Rev. Lett. 107, 092003 (2011)ADSCrossRefGoogle Scholar
  37. 37.
    K. Azizi, G. Kaya, J. Phys. G 43, 055002 (2016)ADSGoogle Scholar
  38. 38.
    K. Azizi, G. Bozkir, Eur. Phys. J. C 76, 521 (2016)ADSCrossRefGoogle Scholar
  39. 39.
    K. Azizi, G. Kaya, Eur. Phys. J. Plus 130, 172 (2015)CrossRefGoogle Scholar
  40. 40.
    K. Azizi, N. Katirci, Eur. Phys. J. Plus 131, 163 (2016)CrossRefGoogle Scholar
  41. 41.
    K. Azizi, N. Er, Phys. Rev. D 81, 096001 (2010)ADSCrossRefGoogle Scholar
  42. 42.
    E.V. Veliev, H. Sundu, K. Azizi, M. Bayar, Phys. Rev. D 82, 056012 (2010)ADSCrossRefGoogle Scholar
  43. 43.
    K. Azizi, A. Türkan, E. Veli Veliev, H. Sundu, Adv. High Energy Phys. 2015, 794243 (2015)CrossRefGoogle Scholar
  44. 44.
    E.V. Veliev, K. Azizi, H. Sundu, G. Kaya, Rom. J. Phys. 59-63, 140 (2014)Google Scholar
  45. 45.
    E. Yazici, H. Sundu, E.V. Veliev, Eur. Phys. J. C 76, 89 (2016)ADSCrossRefGoogle Scholar
  46. 46.
    E.V. Veliev, T.M. Aliev, J. Phys. G 35, 125002 (2008)ADSCrossRefGoogle Scholar
  47. 47.
    S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 95, 114003 (2017)ADSCrossRefGoogle Scholar
  48. 48.
    S.S. Agaev, K. Azizi, H. Sundu, Eur. Phys. J. C 77, 321 (2017)ADSCrossRefGoogle Scholar
  49. 49.
    S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 95, 034008 (2017)ADSCrossRefGoogle Scholar
  50. 50.
    S.S. Agaev, K. Azizi, B. Barsbay, H. Sundu, Eur. Phys. J. A 53, 11 (2017)ADSCrossRefGoogle Scholar
  51. 51.
    S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 93, 114036 (2016)ADSCrossRefGoogle Scholar
  52. 52.
    H. Sundu, SDU J. Nat. Appl. Sci. 20, 448 (2016)Google Scholar
  53. 53.
    L.M. Abreu, K.P. Khemchandani, A. Martínez Torres, F.S. Navarra, M. Nielsen, A.L. Vasconcellos, Phys. Rev. D 95, 096002 (2017)ADSCrossRefGoogle Scholar
  54. 54.
    ExHIC Collaboration (S. Cho et al.), Prog. Part. Nucl. Phys. 95, 279 (2017)CrossRefGoogle Scholar
  55. 55.
    L.M. Abreu, K.P. Khemchandani, A.M. Torres, F.S. Navarra, M. Nielsen, J. Phys. Conf. Ser. 736, 012026 (2016)CrossRefGoogle Scholar
  56. 56.
    L.M. Abreu, K.P. Khemchandani, A. Martinez Torres, F.S. Navarra, M. Nielsen, Phys. Lett. B 761, 303 (2016)ADSCrossRefGoogle Scholar
  57. 57.
    Z.G. Wang, Eur. Phys. J. C 77, 432 (2017)ADSCrossRefGoogle Scholar
  58. 58.
    Z.G. Wang, Eur. Phys. J. C 77, 174 (2017)ADSCrossRefGoogle Scholar
  59. 59.
    Z.G. Wang, Chin. Phys. C 41, 083103 (2017)ADSCrossRefGoogle Scholar
  60. 60.
    R.D. Matheus, S. Narison, M. Nielsen, J.M. Richard, Phys. Rev. D 75, 014005 (2007)ADSCrossRefGoogle Scholar
  61. 61.
    Z.G. Wang, Z.C. Liu, X.H. Zhang, Eur. Phys. J. C 64, 373 (2009)ADSCrossRefGoogle Scholar
  62. 62.
    S. Mallik, Phys. Lett. B 416, 373 (1998)ADSMathSciNetCrossRefGoogle Scholar
  63. 63.
    S.S. Agaev, K. Azizi, H. Sundu, Phys. Rev. D 93, 074002 (2016)ADSCrossRefGoogle Scholar
  64. 64.
    Particle Data Group Collaboration (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016) and 2017 updateADSCrossRefGoogle Scholar
  65. 65.
    A. Ayala, A. Bashir, C.A. Dominguez, E. Gutierrez, M. Loewe, A. Raya, Phys. Rev. D 84, 056004 (2011)ADSCrossRefGoogle Scholar
  66. 66.
    A. Bazavov et al., Phys. Rev. D 80, 014504 (2009)ADSCrossRefGoogle Scholar
  67. 67.
    M. Cheng et al., Phys. Rev. D 81, 054504 (2010)ADSCrossRefGoogle Scholar
  68. 68.
    M. Cheng et al., Phys. Rev. D 77, 014511 (2008) arXiv:0710.0354 [hep-lat]ADSCrossRefGoogle Scholar
  69. 69.
    A. Ayala, C.A. Dominguez, M. Loewe, Y. Zhang, Phys. Rev. D 86, 114036 (2012)ADSCrossRefGoogle Scholar
  70. 70.
    C.A. Dominguez, M. Loewe, J.C. Rojas, Y. Zhang, Phys. Rev. D 81, 014007 (2010)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsKocaeli UniversityIzmitTurkey
  2. 2.Education FacultyKocaeli UniversityIzmitTurkey

Personalised recommendations