Advertisement

Remarks on the Pc structures and triangle singularities

  • Feng-Kun GuoEmail author
  • Ulf-G. Meißner
  • Juan Nieves
  • Zhi YangEmail author
Regular Article - Theoretical Physics
Part of the following topical collections:
  1. Exotic phenomena at the interface of nuclear and particle physics

Abstract.

It was proposed that the narrow \(P_{c}(4450)\) structure observed by the LHCb Collaboration in the reaction \(\Lambda_{b}\rightarrow J/\psi p K\) might be due to a triangle singularity around the \(\chi_{c1}\)-proton threshold at 4.45 GeV. We discuss the occurrence of a similar triangle singularity in the \(J/\psi p\) invariant mass distribution for the decay \(\Lambda_{b}\rightarrow J/\psi p \pi\), which could explain the bump around 4.45 GeV in the data. More precise measurements of this process would provide valuable information towards an understanding of the \(P_{c}\) structures.

References

  1. 1.
    LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 115, 072001 (2015) arXiv:1507.03414 [hep-ex]ADSCrossRefGoogle Scholar
  2. 2.
    L. Roca, E. Oset, arXiv:1602.06791 [hep-ph]
  3. 3.
    LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 117, 082002 (2016) arXiv:1604.05708 [hep-ex]ADSCrossRefGoogle Scholar
  4. 4.
    J.J. Wu, R. Molina, E. Oset, B.S. Zou, Phys. Rev. Lett. 105, 232001 (2010) arXiv:1007.0573 [nucl-th]ADSCrossRefGoogle Scholar
  5. 5.
    J.J. Wu, R. Molina, E. Oset, B.S. Zou, Phys. Rev. C 84, 015202 (2011) arXiv:1011.2399 [nucl-th]ADSCrossRefGoogle Scholar
  6. 6.
    Z.C. Yang, Z.F. Sun, J. He, X. Liu, S.L. Zhu, Chin. Phys. C 36, 6 (2012) arXiv:1105.2901 [hep-ph]ADSCrossRefGoogle Scholar
  7. 7.
    C.W. Xiao, J. Nieves, E. Oset, Phys. Rev. D 88, 056012 (2013) arXiv:1304.5368 [hep-ph]ADSCrossRefGoogle Scholar
  8. 8.
    R. Chen, X. Liu, X.Q. Li, S.L. Zhu, Phys. Rev. Lett. 115, 132002 (2015) arXiv:1507.03704 [hep-ph]ADSCrossRefGoogle Scholar
  9. 9.
    H.X. Chen, W. Chen, X. Liu, T.G. Steele, S.L. Zhu, Phys. Rev. Lett. 115, 172001 (2015) arXiv:1507.03717 [hep-ph]ADSCrossRefGoogle Scholar
  10. 10.
    L. Roca, J. Nieves, E. Oset, Phys. Rev. D 92, 094003 (2015) arXiv:1507.04249 [hep-ph]ADSCrossRefGoogle Scholar
  11. 11.
    A. Mironov, A. Morozov, JETP Lett. 102, 271 (2015) (Pisma Zh. Eksp. Teor. Fiz. 102ADSCrossRefGoogle Scholar
  12. 12.
    L. Maiani, A.D. Polosa, V. Riquer, Phys. Lett. B 749, 289 (2015) arXiv:1507.04980 [hep-ph]ADSCrossRefGoogle Scholar
  13. 13.
    J. He, Phys. Lett. B 753, 547 (2016) arXiv:1507.05200 [hep-ph]ADSCrossRefGoogle Scholar
  14. 14.
    R.F. Lebed, Phys. Lett. B 749, 454 (2015) arXiv:1507.05867 [hep-ph]ADSCrossRefGoogle Scholar
  15. 15.
    U.-G. Meißner, J.A. Oller, Phys. Lett. B 751, 59 (2015) arXiv:1507.07478 [hep-ph]ADSCrossRefGoogle Scholar
  16. 16.
    G.N. Li, X.G. He, M. He, JHEP 12, 128 (2015) arXiv:1507.08252 [hep-ph]ADSCrossRefGoogle Scholar
  17. 17.
    Z.G. Wang, Eur. Phys. J. C 76, 70 (2016) arXiv:1508.01468 [hep-ph]ADSCrossRefGoogle Scholar
  18. 18.
    N.N. Scoccola, D.O. Riska, M. Rho, Phys. Rev. D 92, 051501 (2015) arXiv:1508.01172 [hep-ph]ADSCrossRefGoogle Scholar
  19. 19.
    V.V. Anisovich, M.A. Matveev, J. Nyiri, A.V. Sarantsev, A.N. Semenova, Int. J. Mod. Phys. A 30, 1550190 (2015) arXiv:1509.04898 [hep-ph]ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    G.J. Wang, L. Ma, X. Liu, S.L. Zhu, Phys. Rev. D 93, 034031 (2016) arXiv:1511.04845 [hep-ph]ADSCrossRefGoogle Scholar
  21. 21.
    G. Yang, J. Ping, arXiv:1511.09053 [hep-ph]
  22. 22.
    Q.F. Lü, Y.B. Dong, Phys. Rev. D 93, 074020 (2016) arXiv:1603.00559 [hep-ph]ADSCrossRefGoogle Scholar
  23. 23.
    Y. Shimizu, D. Suenaga, M. Harada, Phys. Rev. D 93, 114003 (2016) arXiv:1603.02376 [hep-ph]ADSCrossRefGoogle Scholar
  24. 24.
    C.W. Shen, F.K. Guo, J.J. Xie, B.S. Zou, Nucl. Phys. A 954, 393 (2016) arXiv:1603.04672 [hep-ph]ADSCrossRefGoogle Scholar
  25. 25.
    E. Santopinto, A. Giachino, arXiv:1604.03769 [hep-ph]
  26. 26.
    T.J. Burns, Eur. Phys. J. A 51, 152 (2015) arXiv:1509.02460 [hep-ph]ADSCrossRefGoogle Scholar
  27. 27.
    H.X. Chen, W. Chen, X. Liu, S.L. Zhu, Phys. Rep. 639, 1 (2016) arXiv:1601.02092 [hep-ph]ADSMathSciNetCrossRefGoogle Scholar
  28. 28.
    R.J. Eden, P.V. Landshoff, D.I. Olive, J.C. Polkinghorne, The Analytic S-Matrix (Cambridge University Press, Cambridge, 1966)Google Scholar
  29. 29.
    T.S. Chang, Introduction to Dispersion Relation (2 volumes, in Chinese, written in 1965) (Science Press, Beijing, 1980). Google Scholar
  30. 30.
    I.J.R. Aitchison, arXiv:1507.02697 [hep-ph]
  31. 31.
    A.V. Anisovich, V.V. Anisovich, M.A. Matveev, V.A. Nikonov, J. Nyiri, A.V. Sarantsev, Three-Particle Physics and Dispersion Relation Theory (World Scientific, Singapore, 2013)Google Scholar
  32. 32.
    S. Coleman, R.E. Norton, Nuovo Cimento 38, 438 (1965)CrossRefGoogle Scholar
  33. 33.
    J.J. Wu, X.H. Liu, Q. Zhao, B.S. Zou, Phys. Rev. Lett. 108, 081803 (2012) arXiv:1108.3772 [hep-ph]ADSCrossRefGoogle Scholar
  34. 34.
    X.G. Wu, J.J. Wu, Q. Zhao, B.S. Zou, Phys. Rev. D 87, 014023 (2013) arXiv:1211.2148 [hep-ph]ADSCrossRefGoogle Scholar
  35. 35.
    Q. Wang, C. Hanhart, Q. Zhao, Phys. Lett. B 725, 106 (2013) arXiv:1305.1997 [hep-ph]ADSCrossRefGoogle Scholar
  36. 36.
    M. Mikhasenko, B. Ketzer, A. Sarantsev, Phys. Rev. D 91, 094015 (2015) arXiv:1501.07023 [hep-ph]ADSCrossRefGoogle Scholar
  37. 37.
    N.N. Achasov, A.A. Kozhevnikov, G.N. Shestakov, Phys. Rev. D 92, 036003 (2015) arXiv:1504.02844 [hep-ph]ADSCrossRefGoogle Scholar
  38. 38.
    I.T. Lorenz, H.-W. Hammer, U.-G. Meißner, Phys. Rev. D 92, 034018 (2015) arXiv:1506.02282 [hep-ph]ADSCrossRefGoogle Scholar
  39. 39.
    A.P. Szczepaniak, Phys. Lett. B 747, 410 (2015) arXiv:1501.01691 [hep-ph]ADSCrossRefGoogle Scholar
  40. 40.
    F.-K. Guo, U.-G. Meißner, W. Wang, Z. Yang, Phys. Rev. D 92, 071502 (2015) arXiv:1507.04950 [hep-ph]ADSCrossRefGoogle Scholar
  41. 41.
    X.H. Liu, Q. Wang, Q. Zhao, Phys. Lett. B 757, 231 (2016) arXiv:1507.05359 [hep-ph]ADSCrossRefGoogle Scholar
  42. 42.
    C. Schmid, Phys. Rev. 154, 1363 (1967)ADSCrossRefGoogle Scholar
  43. 43.
    X.H. Liu, M. Oka, Q. Zhao, Phys. Lett. B 753, 297 (2016) arXiv:1507.01674 [hep-ph]CrossRefGoogle Scholar
  44. 44.
    Q. Wang, X.H. Liu, Q. Zhao, Phys. Rev. D 92, 034022 (2015) arXiv:1508.00339 [hep-ph]ADSCrossRefGoogle Scholar
  45. 45.
    V. Kubarovsky, M.B. Voloshin, Phys. Rev. D 92, 031502 (2015) arXiv:1508.00888 [hep-ph]ADSCrossRefGoogle Scholar
  46. 46.
    M. Karliner, J.L. Rosner, Phys. Lett. B 752, 329 (2016) arXiv:1508.01496 [hep-ph]ADSCrossRefGoogle Scholar
  47. 47.
    Y. Huang, J.J. Xie, J. He, X. Chen, H.F. Zhang, arXiv:1604.05969 [nucl-th]
  48. 48.
    Q.F. Lü, X.Y. Wang, J.J. Xie, X.R. Chen, Y.B. Dong, Phys. Rev. D 93, 034009 (2016) arXiv:1510.06271 [hep-ph]ADSCrossRefGoogle Scholar
  49. 49.
    X.H. Liu, M. Oka, Nucl. Phys. A 954, 352 (2016) arXiv:1602.07069 [hep-ph]ADSCrossRefGoogle Scholar
  50. 50.
    R.Q. Wang, J. Song, K.J. Sun, L.W. Chen, G. Li, F.L. Shao, arXiv:1601.02835 [hep-ph]
  51. 51.
    I. Schmidt, M. Siddikov, Phys. Rev. D 93, 094005 (2016) arXiv:1601.05621 [hep-ph]ADSCrossRefGoogle Scholar
  52. 52.
    LHCb Collaboration (R. Aaij et al.), JHEP 07, 103 (2014) arXiv:1406.0755 [hep-ex]Google Scholar
  53. 53.
    E. Wang, H.X. Chen, L.S. Geng, D.M. Li, E. Oset, Phys. Rev. D 93, 094001 (2016) arXiv:1512.01959 [hep-ph]ADSCrossRefGoogle Scholar
  54. 54.
    L.D. Landau, Nucl. Phys. 13, 181 (1959)CrossRefGoogle Scholar
  55. 55.
    I.J.R. Aitchison, Phys. Rev. 133, B1257 (1964)ADSMathSciNetCrossRefGoogle Scholar
  56. 56.
    Particle Data Group Collaboration (K.A. Olive et al.), Chin. Phys. C 38, 090001 (2014)CrossRefGoogle Scholar
  57. 57.
    E. Witten, Nucl. Phys. B 160, 57 (1979)ADSCrossRefGoogle Scholar
  58. 58.
    S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.-W. Lin, K. Orginos, A. Parreo, M.J. Savage, Phys. Rev. D 91, 114503 (2015) arXiv:1410.7069 [hep-lat]ADSCrossRefGoogle Scholar
  59. 59.
    LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 117, 082003 (2016) arXiv:1606.06999 [hep-ex]ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.CAS Key Laboratory of Theoretical Physics, Institute of Theoretical PhysicsChinese Academy of ScienceBeijingChina
  2. 2.Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical PhysicsUniversität BonnBonnGermany
  3. 3.Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron PhysicsForschungszentrum JülichJülichGermany
  4. 4.Instituto de Física Corpuscular (IFIC)Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigación de PaternaValenciaSpain

Personalised recommendations