Advertisement

Journal of the Korean Physical Society

, Volume 61, Issue 12, pp 1956–1964 | Cite as

Mass splittings of the baryon decuplet and antidecuplet with second-order flavor symmetry breakings within a chiral soliton model

  • Ghil-Seok Yang
  • Hyun-Chul Kim
Article

Abstract

We revisit the mass splittings of SU(3) baryons, taking into account the second-order effects of isospin and SU(3) flavor symmetry breakings within the framework of a chiral soliton model. Compared to the baryon masses with the first-order corrections, those of the baryon decuplet turn out to be improved. The mass of the N* as a member of the baryon antidecuplet is obtained as M N * = (1689.8 ± 6.8) MeV, which is in agreement with the recent experimental data. The pion-nucleon sigma term becomes Σ πN = (50.5 ± 5.4) MeV.

Keywords

Mass splittings of SU(3) baryons Chiral soliton model Flavor symmetry breaking 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    M. Praszałowicz, in Proceedings of the Workshop on Skyrmions and Anomalies (Krakow, Poland, 1987), editted by M. Jezabek and M. Praszałowicz (World Scientific, Singapore, 1987).Google Scholar
  2. [2]
    D. Diakonov, V. Petrov and M. V. Polyakov, Z. Phys. A 359, 305 (1997).ADSCrossRefGoogle Scholar
  3. [3]
    M. Praszałowicz, Phys. Lett. B 575, 234 (2003).ADSCrossRefGoogle Scholar
  4. [4]
    T. Nakano et al. [LEPS Collaboration], Phys. Rev. Lett. 91, 012002 (2003)ADSCrossRefGoogle Scholar
  5. [5]
    M. Battaglieri et al. [CLAS Collaboration], Phys. Rev. Lett. 96, 042001 (2006).ADSCrossRefGoogle Scholar
  6. [6]
    B. McKinnon et al. [CLAS Collaboration]Google Scholar
  7. [7]
    S. Niccolai et al. [CLAS Collaboration], Phys. Rev. Lett. 97, 032001 (2006).ADSCrossRefGoogle Scholar
  8. [8]
    R. De Vita et al. [CLAS Collaboration], Phys. Rev. D 74, 032001 (2006).ADSCrossRefGoogle Scholar
  9. [9]
    V. V. Barmin et al. [DIANA Collaboration], Phys. Atom. Nucl. 70, 35 (2007).ADSCrossRefGoogle Scholar
  10. [10]
    V. V. Barmin et al. [DIANA Collaboration], Phys. Atom. Nucl. 73, 1168 (2010).ADSCrossRefGoogle Scholar
  11. [11]
    A. Aleev et al. [SVD Collaboration], hep-ex/0509033.Google Scholar
  12. [12]
    T. Hotta [LEPS Collaboration], Acta Phys. Pol. B 36, 2173 (2005).ADSGoogle Scholar
  13. [13]
    K. Miwa et al. [KEK-PS E522 Collaboration], Phys. Lett. B 635, 72 (2006).ADSCrossRefGoogle Scholar
  14. [14]
    A. Aleev et al. [SVD Collaboration], arXiv:0803.3313 [hep-ex]Google Scholar
  15. [15]
    T. Nakano et al. [LEPS Collaboration], Phys. Rev. C 79 025210 (2009).ADSCrossRefGoogle Scholar
  16. [16]
    V. Kuznetsov [GRAAL Collaboration], arXiv:hep-ex/0409032.Google Scholar
  17. [17]
    V. Kuznetsov et al., arXiv:hep-ex/0601002.Google Scholar
  18. [18]
    V. Kuznetsov [GRAAL Collaboration], Phys. Lett. B 647, 23 (2007).ADSCrossRefGoogle Scholar
  19. [19]
    A. Fix, L. Tiator and M. V. Polyakov, Eur. Phys. J. A 32, 311 (2007).ADSCrossRefGoogle Scholar
  20. [20]
    M. V. Polyakov and A. Rathke, Eur. Phys. J. A 18, 691 (2003).ADSCrossRefGoogle Scholar
  21. [21]
    H. -Ch. Kim, M. Polyakov, M. Praszałowicz, G.-S. Yang and K. Goeke, Phys. Rev. D 71, 094023 (2005).ADSCrossRefGoogle Scholar
  22. [22]
    V. Kuznetsov, M. Polyakov, T. Boiko, J. Jang, A. Kim, W. Kim and A. Ni, arXiv:hep-ex/0703003.Google Scholar
  23. [23]
    V. Kuznetsov et al., arXiv:0801.0778 [hep-ex].Google Scholar
  24. [24]
    V. Kuznetsov et al., arXiv:1003.4585 [hep-ex].Google Scholar
  25. [25]
    V. Kuznetsov et al., Acta Phys. Pol. B 39, 1949 (2008), arXiv:0807.2316 [hep-ex].ADSGoogle Scholar
  26. [26]
    V. Kuznetsov and M. V. Polyakov, JETP Lett. 88, 347 (2008), arXiv:0807.3217 [hep-ph].ADSCrossRefGoogle Scholar
  27. [27]
    D. Elsner and [CBELSA Collaboration], Eur. Phys. J. A 33, 147 (2007).ADSCrossRefGoogle Scholar
  28. [28]
    Y. Azimov, V. Kuznetsov, M. V. Polyakov and I. Strakovsky, Eur. Phys. J. A 25, 325 (2005).ADSCrossRefGoogle Scholar
  29. [29]
    K. S. Choi, S. Nam, A. Hosaka and H.-Ch. Kim, Phys. Lett. B 636, 253 (2006).ADSCrossRefGoogle Scholar
  30. [30]
    K. S. Choi, S. Nam, A. Hosaka and H.-Ch. Kim, J. Phys. G 36, 015008 (2009).ADSCrossRefGoogle Scholar
  31. [31]
    D. Diakonov and V. Petrov, Phys. Rev. D 69, 094011 (2004).ADSCrossRefGoogle Scholar
  32. [32]
    R. A. Arndt, Y. I. Azimov, M. V. Polyakov, I. I. Strakovsky and R. L. Workman, Phys. Rev. C 69, 035208 (2004).ADSCrossRefGoogle Scholar
  33. [33]
    I. I. Strakovsky, R. A. Arndt, Ya. I. Azimov, M. V. Polyakov and R. L. Workman, AIP Conf. Proc. 775, 41 (2005).ADSCrossRefGoogle Scholar
  34. [34]
    J. R. Ellis, M. Karliner and M. Praszałowicz, J. High Energy Phys. 0405, 002 (2004).ADSCrossRefGoogle Scholar
  35. [35]
    C. V. Christov, A. Blotz, K. Goeke, P. Pobylitsa, V. Petrov, M. Wakamatsu and T. Watabe, Phys. Lett. B 325, 467 (1994).ADSCrossRefGoogle Scholar
  36. [36]
    A. Blotz, M. Praszałowicz and K. Goeke, Phys. Rev. D 53, 485 (1996).ADSCrossRefGoogle Scholar
  37. [37]
    H. Walliser, in Proceedings of the Workshop on Baryons as Skyrme Solitons (Siegen, Germany, 1992), edited by G. Holzwarth (World Scientific, Singapore, 1992).Google Scholar
  38. [38]
    H. Walliser, Nucl. Phys. A 548, 649 (1992).ADSCrossRefGoogle Scholar
  39. [39]
    A. Blotz, K. Goeke, N. W. Park, D. Diakonov, V. Petrov and P. V. Pobylitsa, Phys. Lett. B 287, 29 (1992).ADSCrossRefGoogle Scholar
  40. [40]
    A. Blotz, D. Diakonov, K. Goeke, N. W. Park, V. Petrov and P. V. Pobylitsa, Nucl. Phys. A 555, 765 (1993).ADSCrossRefGoogle Scholar
  41. [41]
    T. Ledwig, H.-Ch. Kim and K. Goeke, Phys. Rev. D 78, 054005 (2008), arXiv:0805.4063 [hep-ph].ADSCrossRefGoogle Scholar
  42. [42]
    G. -S. Yang, H.-Ch. Kim and M. V. Polyakov, Phys. Lett. B 695, 214 (2011), 1009.5250 [hep-ph].ADSCrossRefGoogle Scholar
  43. [43]
    G. -S. Yang and H.-Ch. Kim, arXiv:1010.3792 [hep-ph], Prog. Theor. Phys., in print.Google Scholar
  44. [44]
    G. -S. Yang and H.-Ch. Kim, arXiv:1204.5644 [hep-ph].Google Scholar
  45. [45]
    G. Morpurgo, Phys. Rev. Lett. 68, 139 (1992).ADSCrossRefGoogle Scholar
  46. [46]
    H. Weigel, Lect. Notes Phys. 743, 1 (2008).CrossRefGoogle Scholar
  47. [47]
    B. Y. Park and M. Rho, Z. Phys. A 331, 151 (1988).ADSGoogle Scholar
  48. [48]
    A. Blotz, K. Goeke and M. Praszałowicz, Acta Phys. Pol. B 25, 1443 (1994).Google Scholar
  49. [49]
    H. -Ch. Kim, M. Praszałowicz, M. V. Polyakov and K. Goeke, Phys. Rev. D 58, 114027 (1998).ADSCrossRefGoogle Scholar
  50. [50]
    K. Nakamura et al., [Particle Data Group], J. Phys. G 37, 075021 (2010).ADSCrossRefGoogle Scholar
  51. [51]
    J. Gasser, H. Leutwyler and M. E. Sainio, Phys. Lett. B 253, 252 (1991).ADSCrossRefGoogle Scholar
  52. [52]
    M. M. Pavan, I. I. Strakovsky, R. L. Workman and R. A. Arndt, PiN Newslett. 16, 110 (2002).Google Scholar
  53. [53]
    P. Schweitzer, Eur. Phys. J. A 22, 89 (2004).ADSCrossRefGoogle Scholar
  54. [54]
    V. Shklyar, H. Lenske and U. Mosel, Phys. Lett. B 650, 172 (2007), arXiv:nucl-th/0611036.ADSCrossRefGoogle Scholar
  55. [55]
    C. Alt et al., [NA49 Collaboration], Phys. Rev. Lett. 92, 042003 (2004).ADSCrossRefGoogle Scholar
  56. [56]
    K. Goeke, M. V. Polyakov and M. Praszałowicz, arXiv:0912.0469 [hep-ph].Google Scholar
  57. [57]
    H. -Ch. Kim, M. Praszalowicz and K. Goeke, Phys. Rev. D 57, 2859 (1998), arXiv:hep-ph/9706531.ADSCrossRefGoogle Scholar
  58. [58]
    H. -Ch. Kim, M. Praszalowicz and K. Goeke, Phys. Rev. D 61, 114006 (2000), arXiv:hep-ph/9910282.ADSCrossRefGoogle Scholar
  59. [59]
    G. -S. Yang, H.-Ch. Kim and K. Goeke, Phys. Rev. D 75, 094004 (2007), arXiv:hep-ph/0701168.ADSCrossRefGoogle Scholar
  60. [60]
    G. -S. Yang and H.-Ch. Kim, in preparation.Google Scholar

Copyright information

© The Korean Physical Society 2012

Authors and Affiliations

  1. 1.Center for High Energy Physics and Department of PhysicsKyungpook National UniversityDaeguKorea
  2. 2.Department of PhysicsInha UniversityIncheonKorea

Personalised recommendations