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Regge-like spectra of excited singly heavy mesons

  • Duojie JiaEmail author
  • Wen-Chao Dong
Regular Article
  • 17 Downloads

Abstract.

In this work, we study the Regge-like spectra of excited singly heavy mesons by proposing a general Regge-like mass relation, in which the slope ratio \( \alpha^{\prime}/\beta^{\prime}\) between the radial and angular-momentum Regge trajectories is \( \pi\)/2 and the hadron mass undergoes a shift including the heavy quark mass and an extra binding energy between heavy quark and strange anti-quark. The relation is successfully tested against the observed spin-averaged data of the singly heavy mesons in their radially and angularly excited states. Some new predictions are made for more excited heavy-light mesons and the discussion is given associated with the QCD string (flux tube) picture.

References

  1. 1.
    Particle Data Group (M. Tanabashi et al.), Phys. Rev. D 98, 030001 (2018)Google Scholar
  2. 2.
    CDF Collaboration (T.A. Aaltonen et al.), Phys. Rev. D 90, 012013 (2014) arXiv:1309.5961 [hep-ex]ADSCrossRefGoogle Scholar
  3. 3.
    LHCb Collaboration (R. Aaij et al.), JHEP 04, 024 (2015) arXiv:1502.02638 [hep-ex]Google Scholar
  4. 4.
    LHCb Collaboration (R. Aaij et al.), JHEP 09, 145 (2013) arXiv:1307.4556 [hep-ex]Google Scholar
  5. 5.
    LHCb Collaboration (R. Aaij et al.), Phys. Rev. D 94, 072001 (2016) arXiv:1608.01289 [hep-ex]ADSCrossRefGoogle Scholar
  6. 6.
    S. Godfrey, K. Moats, Phys. Rev. D 93, 034035 (2016) arXiv:1510.08305 [hep-ph]ADSCrossRefGoogle Scholar
  7. 7.
    H.W. Ke, J.H. Zhou, X.Q. Li, Eur. Phys. J. C 75, 28 (2015) arXiv:1411.0376 [hep-ph]ADSCrossRefGoogle Scholar
  8. 8.
    Q.T. Song, D.Y. Chen, X. Liu, T. Matsuki, Eur. Phys. J. C 75, 30 (2015) arXiv:1408.0471 [hep-ph]ADSCrossRefGoogle Scholar
  9. 9.
    Q.T. Song, D.Y. Chen, X. Liu, T. Matsuki, Phys. Rev. D 92, 074011 (2015) arXiv:1503.05728 [hep-ph]ADSCrossRefGoogle Scholar
  10. 10.
    Y. Sun, X. Liu, T. Matsuki, Phys. Rev. D 88, 094020 (2013) arXiv:1309.2203 [hep-ph]ADSCrossRefGoogle Scholar
  11. 11.
    Z.G. Wang, Phys. Rev. D 83, 014009 (2011) arXiv:1009.3605 [hep-ph]ADSCrossRefGoogle Scholar
  12. 12.
    E.V. Beveren, G. Rupp, Phys. Rev. D 81, 118101 (2010) arXiv:0908.1142 [hep-ph]ADSCrossRefGoogle Scholar
  13. 13.
    A.M. Badalian, B.L.G. Bakker, Phys. Rev. D 84, 034006 (2011) arXiv:1104.1918 [hep-ph]ADSCrossRefGoogle Scholar
  14. 14.
    F.E. Close, C.E. Thomas, O. Lakhina, E.S. Swanson, Phys. Lett. B 647, 159 (2007) hep-ph/0608139ADSCrossRefGoogle Scholar
  15. 15.
    S. Godfrey, I.T. Jardine, Phys. Rev. D 89, 074023 (2014) arXiv:1312.6181 [hep-ph]ADSCrossRefGoogle Scholar
  16. 16.
    G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, L. Liu, JHEP 05, 021 (2013) arXiv:1301.7670 [hep-ph]ADSCrossRefGoogle Scholar
  17. 17.
    R. Lewis, R.M. Woloshyn, Phys. Rev. D 62, 114507 (2000) hep-lat/0003011ADSCrossRefGoogle Scholar
  18. 18.
    H.X. Chen, W. Chen, X. Liu, Y.R. Liu, S.L. Zhu, Rep. Prog. Phys. 80, 076201 (2017) arXiv:1609.08928 [hep-ph]ADSCrossRefGoogle Scholar
  19. 19.
    Y. Sun, Q.T. Song, D.Y. Chen, X. Liu, S.L. Zhu, Phys. Rev. D 89, 054026 (2014) arXiv:1401.1595 [hep-ph]ADSCrossRefGoogle Scholar
  20. 20.
    L.Y. Xiao, X.H. Zhong, Phys. Rev. D 90, 074029 (2014) arXiv:1407.7408 [hep-ph]ADSCrossRefGoogle Scholar
  21. 21.
    J.Z. Wang, D.Y. Chen, Q.T. Song, X. Liu, T. Matsuki, Phys. Rev. D 94, 094044 (2016) arXiv:1608.04186 [hep-ph]ADSCrossRefGoogle Scholar
  22. 22.
    K. Chen, Y. Dong, X. Liu, Q.F. Lü, T. Matsuki, Eur. Phys. J. C 78, 20 (2018) arXiv:1709.07196 [hep-ph]ADSCrossRefGoogle Scholar
  23. 23.
    T. Regge, Nuovo Cim. 14, 951 (1959)ADSCrossRefGoogle Scholar
  24. 24.
    P.D.B. Collins, An Introduction to Regge Theory and High-Energy Physics (Cambridge University Press, Cambridge, 1977)Google Scholar
  25. 25.
    M. Baker, R. Steinke, Phys. Rev. D 65, 094042 (2002) hep-th/0201169ADSCrossRefGoogle Scholar
  26. 26.
    T.J. Allen, C. Goebel, M.G. Olsson, S. Veseli, Phys. Rev. D 64, 094011 (2001) hep-ph/0106026ADSCrossRefGoogle Scholar
  27. 27.
    S.S. Afonin, Mod. Phys. Lett. A 22, 1359 (2007) hep-ph/0701089ADSCrossRefGoogle Scholar
  28. 28.
    S.S. Afonin, Phys. Rev. C 76, 015202 (2007) arXiv:0707.0824 [hep-ph]ADSCrossRefGoogle Scholar
  29. 29.
    P. Bicudo, Phys. Rev. D 76, 094005 (2007) hep-ph/0703114ADSCrossRefGoogle Scholar
  30. 30.
    A.V. Anisovich, V.V. Anisovich, A.V. Sarantsev, Phys. Rev. D 62, 051502 (2000) hep-ph/0003113ADSCrossRefGoogle Scholar
  31. 31.
    H. Forkel, M. Beyer, T. Frederico, Int. J. Mod. Phys. E 16, 2794 (2007) arXiv:0705.4115 [hep-ph]ADSCrossRefGoogle Scholar
  32. 32.
    P. Masjuan, E.R. Arriola, W. Broniowski, Phys. Rev. D 85, 094006 (2012) arXiv:1203.4782 [hep-ph]ADSCrossRefGoogle Scholar
  33. 33.
    D.V. Bugg, Phys. Rep. 397, 257 (2004) hep-ex/0412045ADSCrossRefGoogle Scholar
  34. 34.
    F. Brau, Phys. Rev. D 62, 014005 (2000) hep-ph/0412170ADSCrossRefGoogle Scholar
  35. 35.
    M.G. Olsson, Phys. Rev. D 55, 5479 (1997) hep-ph/9611340ADSCrossRefGoogle Scholar
  36. 36.
    D. Ebert, R.N. Faustov, V.O. Galkin, Eur. Phys. J. C 66, 197 (2010) arXiv:0910.5612 [hep-ph]ADSCrossRefGoogle Scholar
  37. 37.
    A. Chodos, C.B. Thorn, Nucl. Phys. B 72, 509 (1974)ADSCrossRefGoogle Scholar
  38. 38.
    P. Goddard, J. Goldstone, C. Rebbi, C.B. Thorn, Nucl. Phys. B 56, 109 (1973)ADSCrossRefGoogle Scholar
  39. 39.
    Y. Nambu, Phys. Rev. D 10, 4262 (1974)ADSCrossRefGoogle Scholar
  40. 40.
    T. Goto, Prog. Theor. Phys. 46, 1560 (1971)ADSCrossRefGoogle Scholar
  41. 41.
    K. Johnson, C. Nohl, Phys. Rev. D 19, 291 (1979)ADSCrossRefGoogle Scholar
  42. 42.
    A. Selem, F. Wilczek, Hadron systematics and emergent diquarks, in Proceedings of Rindberg Workshop on New Trends in HERA Physics (2005)  https://doi.org/10.1142/9789812773524_0030, hep-ph/0602128
  43. 43.
    J. Sonnenschein, D. Weissman, JHEP 08, 013 (2014) arXiv:1402.5603 [hep-ph]ADSCrossRefGoogle Scholar
  44. 44.
    B. Chen, K.W. Wei, A. Zhang, Eur. Phys. J. A 51, 82 (2015) arXiv:1406.6561 [hep-ph]ADSCrossRefGoogle Scholar
  45. 45.
    T.J. Burns, F. Piccinini, A.D. Polosa, C. Sabelli, Phys. Rev. D 82, 074003 (2010) arXiv:1008.0018[hep-ph]ADSCrossRefGoogle Scholar
  46. 46.
    G. Cotugno, R. Faccini, A.D. Polosa, C. Sabelli, Phys. Rev. Lett. 104, 132005 (2010) arXiv:1008.0018[hep-ph]ADSCrossRefGoogle Scholar
  47. 47.
    B. Chen, D.X. Wang, A. Zhang, Chin. Phys. C 33, 1327 (2009) arXiv:0906.3934 [hep-ph]ADSCrossRefGoogle Scholar
  48. 48.
    C. Rebbi, Phys. Rep. 12, 1 (1974)ADSCrossRefGoogle Scholar
  49. 49.
    C. Lovelace, Phys. Lett. B 28, 264 (1968)ADSCrossRefGoogle Scholar
  50. 50.
    J.A. Shapiro, Phys. Rev. 179, 1345 (1969)ADSCrossRefGoogle Scholar
  51. 51.
    G. Veneziano, Nuovo Cim. A 57, 190 (1968)ADSCrossRefGoogle Scholar
  52. 52.
    S.S. Afonin, Mod. Phys. Lett. A 32, 1750155 (2017) arXiv:1708.08259 [hep-ph]ADSMathSciNetCrossRefGoogle Scholar
  53. 53.
    D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 79, 114029 (2009) arXiv:0903.5183 [hep-ph]ADSCrossRefGoogle Scholar
  54. 54.
    D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 84, 014025 (2011) arXiv:1105.0583 [hep-ph]ADSCrossRefGoogle Scholar
  55. 55.
    M. Karliner, J.L. Rosner, Phys. Rev. D 90, 094007 (2014) arXiv:1408.5877 [hep-ph]ADSCrossRefGoogle Scholar
  56. 56.
    M. Karliner, J.L. Rosner, Phys. Rev. D 97, 094006 (2018) arXiv:1803.01657 [hep-ph]ADSCrossRefGoogle Scholar
  57. 57.
    M. Karliner, J.L. Rosner, Phys. Rev. D 98, 074026 (2018) arXiv:1808.07869 [hep-ph]ADSCrossRefGoogle Scholar
  58. 58.
    M. Baker, R. Steinke, Phys. Rev. D 65, 094042 (2002) hep-th/0201169ADSCrossRefGoogle Scholar
  59. 59.
    Y. Nambu, Phys. Lett. B 80, 372 (1979)ADSCrossRefGoogle Scholar
  60. 60.
    S. Veseli, M.G. Olsson, Phys. Lett. B 383, 109 (1996) hep-ph/9606257ADSCrossRefGoogle Scholar
  61. 61.
    L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon Press, Oxford, 1977)Google Scholar
  62. 62.
    E.R. Arriola, W. Broniowski, Eur. Phys. J. A 31, 739 (2007) hep-ph/0609266ADSCrossRefGoogle Scholar
  63. 63.
    P. Cea, P. Colangelo, G. Nardulli, G. Paiano, G. Preparata, Phys. Rev. D 26, 1157 (1982)ADSCrossRefGoogle Scholar
  64. 64.
    D. LaCourse, M.G. Olsson, Phys. Rev. D 39, 2751 (1989)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Theoretical Physics, College of Physics and Electronic EngineeringNorthwest Normal UniversityLanzhouChina

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