Advertisement

Journal of the Korean Physical Society

, Volume 73, Issue 2, pp 165–178 | Cite as

Heavy Baryons in a Pion Mean-Field Approach: A Brief Review

  • Hyun-Chul KimEmail author
Review Articles
Part of the following topical collections:
  1. JKPS 50th Anniversary Reviews

Abstract

We review in this paper a series of recent works on properties of singly heavy baryons, based on a pion mean-field approach. In the limit of an infinitely heavy-quark mass, the heavy quark inside a heavy baryon can be regarded as a static color source. In this limit, a heavy baryon can be viewed as Nc − 1 valence quarks bound by the pion mean fields which are created self-consistently by the presence of the Nc valence quarks. We show that this mean-field approach can successfully describe the masses and the magnetic moments of the lowest-lying singly heavy baryons, using all the parameters fixed in the light-baryon sector except for the hyperfine spin-spin interactions. We also review a recent work on identifying the newly found excited Ωc baryons reported by the LHCb Collaboration. We discuss possible scenarios to identify them. Finally, we give a future perspective on this pion mean-field approach.

Keywords

Heavy baryons Pion mean fields Chiral quark-soliton model Flavor SU(3) symmetry breaking 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    N. Isgur and M. B. Wise, Phys. Lett. B 232, 113 (1989).ADSCrossRefGoogle Scholar
  2. [2]
    N. Isgur and M. B. Wise, Phys. Rev. Lett. 66, 1130 (1991).ADSCrossRefGoogle Scholar
  3. [3]
    H. Georgi, Phys. Lett. B 240, 447 (1990).ADSCrossRefGoogle Scholar
  4. [4]
    A. V. Manohar and M. B. Wise, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10, 1 (2000).Google Scholar
  5. [5]
    T. Aaltonen et al. [CDF Collaboration], Phys. Rev. Lett. 99, 202001 (2007).ADSCrossRefGoogle Scholar
  6. [6]
    S. Chatrchyan et al. [CMS Collaboration], Phys. Rev. Lett. 108, 252002 (2012).ADSCrossRefGoogle Scholar
  7. [7]
    V. M. Abazov et al. [D0 Collaboration], Phys. Rev. Lett. 101, 232002 (2008).ADSCrossRefGoogle Scholar
  8. [8]
    T. Kuhr [CDF and D0 Collaborations], arXiv:1109.1944 [hep-ex].Google Scholar
  9. [9]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 109, 172003 (2012).ADSCrossRefGoogle Scholar
  10. [10]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 110, 182001 (2013).ADSCrossRefGoogle Scholar
  11. [11]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 113, 032001 (2014).ADSCrossRefGoogle Scholar
  12. [12]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 113, 242002 (2014).ADSCrossRefGoogle Scholar
  13. [13]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 114, 062004 (2015).ADSCrossRefGoogle Scholar
  14. [14]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 115, 072001 (2015) [arXiv:1507.03414 [hep-ex]].ADSCrossRefGoogle Scholar
  15. [15]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 117, 082002 (2016) [arXiv:1604.05708 [hep-ex]].ADSCrossRefGoogle Scholar
  16. [16]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 117, 082003 (2016) Addendum: [Phys. Rev. Lett. 117, 109902 (2016)] Addendum: [Phys. Rev. Lett. 118, 119901 (2017)] [arXiv:1606.06999 [hep-ex]].ADSCrossRefGoogle Scholar
  17. [17]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 118, 022003 (2017) [arXiv:1606.07895 [hep-ex]].ADSCrossRefGoogle Scholar
  18. [18]
    R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 118, 182001 (2017).ADSCrossRefGoogle Scholar
  19. [19]
    J. Yelton et al. [Belle Collaboration], Phys. Rev. D 97, 051102 (2018) [arXiv:1711.07927 [hep-ex]].ADSCrossRefGoogle Scholar
  20. [20]
    E. Witten, Nucl. Phys. B 160, 57 (1979).ADSCrossRefGoogle Scholar
  21. [21]
    E. Witten, Nucl. Phys. B 223, 422 (1983) and Nucl. Phys. B 223, 433 (1983).ADSCrossRefGoogle Scholar
  22. [22]
    W. Pauli and S. M. Dancoff, Phys. Rev. 62, 85 (1942).ADSMathSciNetCrossRefGoogle Scholar
  23. [23]
    T. H. R. Skyrme, Proc. Roy. Soc. Lond. A 260, 127 (1961).ADSMathSciNetCrossRefGoogle Scholar
  24. [24]
    S. Coleman, Aspects of Symmetry (Cambridge University Press, New York, 1985).CrossRefzbMATHGoogle Scholar
  25. [25]
    D. Diakonov, V. Y. Petrov and P. V. Pobylitsa, Nucl. Phys. B 306, 809 (1988).ADSCrossRefGoogle Scholar
  26. [26]
    C. V. Christov, A. Blotz, H-Ch. Kim, P. Pobylitsa, T. Watabe, T. Meissner, E. Ruiz Arriola and K. Goeke, Prog. Part. Nucl. Phys. 37, 91 (1996).ADSCrossRefGoogle Scholar
  27. [27]
    D. Diakonov, hep-ph/9802298.Google Scholar
  28. [28]
    D. Diakonov and V. Y. Petrov, Nucl. Phys. B 245, 259 (1984).ADSCrossRefGoogle Scholar
  29. [29]
    D. Diakonov and V. Y. Petrov, Nucl. Phys. B 272, 457 (1986).ADSCrossRefGoogle Scholar
  30. [30]
    E. Guadagnini, Nucl. Phys. B 236, 35 (1984).ADSCrossRefGoogle Scholar
  31. [31]
    P. O. Mazur, M. A. Nowak and M. Praszałowicz, Phys. Lett. 147B, 137 (1984).ADSCrossRefGoogle Scholar
  32. [32]
    S. Jain and S. R. Wadia, Nucl. Phys. B 258, 713 (1985).ADSCrossRefGoogle Scholar
  33. [33]
    A. Blotz, D. Diakonov, K. Goeke, N. W. Park, V. Petrov and P. V. Pobylitsa, Nucl. Phys. A 555, 765 (1993).ADSCrossRefGoogle Scholar
  34. [34]
    G. S. Yang and H-Ch. Kim, Prog. Theor. Phys. 128, 397 (2012) [arXiv:1010.3792 [hep-ph]].ADSCrossRefGoogle Scholar
  35. [35]
    H-Ch. Kim, A. Blotz, M. V. Polyakov and K. Goeke, Phys. Rev. D 53, 4013 (1996).ADSCrossRefGoogle Scholar
  36. [36]
    A. Silva, H-Ch. Kim and K. Goeke, Phys. Rev. D 65, 014016 (2002) Erratum: [Phys. Rev. D 66, 039902 (2002)].ADSCrossRefGoogle Scholar
  37. [37]
    T. Ledwig, A. Silva and H-Ch. Kim, Phys. Rev. D 82, 034022 (2010).ADSCrossRefGoogle Scholar
  38. [38]
    H-Ch. Kim, M. V. Polyakov, A. Blotz and K. Goeke, Nucl. Phys. A 598, 379 (1996) [hep-ph/9506422].ADSCrossRefGoogle Scholar
  39. [39]
    M. Wakamatsu and N. Kaya, Prog. Theor. Phys. 95, 767 (1996).ADSCrossRefGoogle Scholar
  40. [40]
    H-Ch. Kim, M. Praszalowicz and K. Goeke, Phys. Rev. D 57, 2859 (1998) [hep-ph/9706531].ADSCrossRefGoogle Scholar
  41. [41]
    H-Ch. Kim, M. Polyakov, M. Praszalowicz, G. S. Yang and K. Goeke, Phys. Rev. D 71, 094023 (2005) [hepph/0503237].ADSCrossRefGoogle Scholar
  42. [42]
    T. Ledwig, A. Silva, H-Ch. Kim and K. Goeke, JHEP 0807, 132 (2008).ADSCrossRefGoogle Scholar
  43. [43]
    G. S. Yang and H-Ch. Kim, Phys. Rev. C 92, 035206 (2015) [arXiv:1504.04453 [hep-ph]].ADSCrossRefGoogle Scholar
  44. [44]
    D. Diakonov, V. Petrov, P. Pobylitsa, M. V. Polyakov and C. Weiss, Nucl. Phys. B 480, 341 (1996).ADSCrossRefGoogle Scholar
  45. [45]
    M. Wakamatsu, Phys. Rev. D 67, 034005 (2003).ADSCrossRefGoogle Scholar
  46. [46]
    H-Ch. Kim, M. V. Polyakov and K. Goeke, Phys. Rev. D 53, 4715R (1996) [hep-ph/9509283].ADSCrossRefGoogle Scholar
  47. [47]
    H-Ch. Kim, M. V. Polyakov and K. Goeke, Phys. Lett. B 387, 577 (1996) [hep-ph/9604442].ADSCrossRefGoogle Scholar
  48. [48]
    P. Schweitzer, D. Urbano, M. V. Polyakov, C. Weiss, P. V. Pobylitsa and K. Goeke, Phys. Rev. D 64, 034013 (2001) [hep-ph/0101300].ADSCrossRefGoogle Scholar
  49. [49]
    K. Goeke, M. V. Polyakov and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001) [hep-ph/0106012].ADSCrossRefGoogle Scholar
  50. [50]
    Gh-S. Yang, H-Ch. Kim, M. V. Polyakov and M. Praszałowicz, Phys. Rev. D 94, 071502 (2016).ADSCrossRefGoogle Scholar
  51. [51]
    D. Diakonov, arXiv:1003.2157 [hep-ph].Google Scholar
  52. [52]
    J. Y. Kim, H-Ch. Kim and G. S. Yang, arXiv:1801.09405 [hep-ph].Google Scholar
  53. [53]
    G. S. Yang and H-Ch. Kim, arXiv:1802.05416 [hep-ph].Google Scholar
  54. [54]
    J. Y. Kim and H-Ch. Kim, arXiv:1803.04069 [hep-ph].Google Scholar
  55. [55]
    H-Ch. Kim, M. V. Polyakov and M. Praszałowicz, Phys. Rev. D 96, 014009 (2017) Addendum: [Phys. Rev. D 96, 039902 (2017)] [arXiv:1704.04082 [hep-ph]].ADSCrossRefGoogle Scholar
  56. [56]
    H-Ch. Kim, M. V. Polyakov, M. Praszalowicz and G. S. Yang, Phys. Rev. D 96, 094021 (2017) Erratum: [Phys. Rev. D 97, 039901 (2018)] [arXiv:1709.04927 [hepph]].ADSCrossRefGoogle Scholar
  57. [57]
    G. S. Yang, H-Ch. Kim and M. V. Polyakov, Phys. Lett. B 695, 214 (2011).ADSCrossRefGoogle Scholar
  58. [58]
    Ya.B. Zeldovich and A.D. Sakharov, Yad. Fiz 4, 395 (1966); Sov. J. Nucl. Phys. 4, 283 (1967); Acta Phys. Hung. 22, 153 (1967).Google Scholar
  59. [59]
    R. Aaij et al. [LHCb Collaboration], arXiv:1707.01621 [hep-ex].Google Scholar
  60. [60]
    C. Patrignani et al. (Particle Data Group), Chin. Phys. C 40, 100001 (2016) and 2017 update.ADSGoogle Scholar
  61. [61]
    M. Praszalowicz, T. Watabe and K. Goeke, Nucl. Phys. A 647, 49 (1999) [hep-ph/9806431].ADSCrossRefGoogle Scholar
  62. [62]
    M. C. Banuls, I. Scimemi, J. Bernabeu, V. Gimenez and A. Pich, Phys. Rev. D 61, 074007 (2000) [hepph/9905488].ADSCrossRefGoogle Scholar
  63. [63]
    S. R. Coleman and S. L. Glashow, Phys. Rev. Lett. 6, 423 (1961).ADSCrossRefGoogle Scholar
  64. [64]
    D. I. Diakonov, V. Y. Petrov and A. A. Vladimirov, Theor. Math. Phys. 170, 114 (2012) [Teor. Mat. Fiz. 170, 140 (2012)].CrossRefGoogle Scholar
  65. [65]
    D. Diakonov, V. Petrov and A. A. Vladimirov, Phys. Rev. D 88, 074030 (2013) [arXiv:1308.0947 [hep-ph]].ADSCrossRefGoogle Scholar
  66. [66]
    M. Karliner and J. L. Rosner, Phys. Rev. D 95, 114012 (2017) [arXiv:1703.07774 [hep-ph]].ADSCrossRefGoogle Scholar

Copyright information

© The Korean Physical Society 2018

Authors and Affiliations

  1. 1.Department of PhysicsInha UniversityIncheonKorea
  2. 2.School of PhysicsKorea Institute for Advanced Study (KIAS)SeoulKorea

Personalised recommendations