Advertisement

Mass and residue of \(\Lambda (1405)\) as hybrid and excited ordinary baryon

  • K. Azizi
  • B. Barsbay
  • H. Sundu
Regular Article
  • 19 Downloads

Abstract.

The nature of the \(\Lambda (1405)\) has been a puzzle for decades, whether it is a standard three-quark baryon, a hybrid baryon or a baryon-meson molecule. More information on the decay channels of this particle and its strong, weak and electromagnetic interactions with other hadrons is needed to clarify its internal organization. The residue of this particle is one of the main inputs in investigation of its decay properties in many approaches. We calculate the mass and residue of the \(\Lambda (1405)\) state in the context of QCD sum rules considering it as a hybrid baryon with three-quark-one-gluon content as well as an excited ordinary baryon with quantum numbers \(I(J^{P})=0(1/2^{-})\). The comparison of the obtained results on the mass with the average experimental value presented in PDG allows us to interpret this state as a hybrid baryon.

References

  1. 1.
    S.L. Olsen, Hyperfine Interact. 229, 7 (2014) arXiv:1403.1254 [hep-ex]CrossRefGoogle Scholar
  2. 2.
    Belle Collaboration (S.K. Choi et al.), Phys. Rev. Lett. 91, 262001 (2003) hep-ex/0309032CrossRefGoogle Scholar
  3. 3.
    C. Shen, AIP Conf. Proc. 1735, 060002 (2016)CrossRefGoogle Scholar
  4. 4.
    A. Pimikov, H.J. Lee, N. Kochelev, P. Zhang, Phys. Rev. D 95, 071501 (2017) arXiv:1611.08698 [hep-ph]ADSCrossRefGoogle Scholar
  5. 5.
    J. Ho, D. Harnett, T.G. Steele, arXiv:1609.06750 [hep-ph]Google Scholar
  6. 6.
    M.S. Chanowitz, S.R. Sharpe, Nucl. Phys. B 222, 211 (1983) 228ADSCrossRefGoogle Scholar
  7. 7.
    S.F. Tuan, Phys. Rev. D 15, 3478 (1977)ADSCrossRefGoogle Scholar
  8. 8.
    F. Goerke, T. Gutsche, M.A. Ivanov, J.G. Korner, V.E. Lyubovitskij, P. Santorelli, Phys. Rev. D 94, 094017 (2016) arXiv:1608.04656 [hep-ph]ADSCrossRefGoogle Scholar
  9. 9.
    H.X. Chen, E.L. Cui, W. Chen, X. Liu, T.G. Steele, S.L. Zhu, Eur. Phys. J. C 76, 572 (2016) arXiv:1602.02433 [hep-ph]ADSCrossRefGoogle Scholar
  10. 10.
    A. Gal, H. Garcilazo, Nucl. Phys. A 928, 73 (2014) arXiv:1402.3171 [nucl-th]ADSCrossRefGoogle Scholar
  11. 11.
    R.L. Jaffe, K. Johnson, Phys. Lett. B 60, 201 (1976)ADSCrossRefGoogle Scholar
  12. 12.
    T. Barnes, F.E. Close, F. de Viron, J. Weyers, Nucl. Phys. B 224, 241 (1983)ADSCrossRefGoogle Scholar
  13. 13.
    T. Barnes, F.E. Close, E.S. Swanson, Phys. Rev. D 52, 5242 (1995) hep-ph/9501405ADSCrossRefGoogle Scholar
  14. 14.
    F.E. Close, P.R. Page, Nucl. Phys. B 443, 233 (1995) hep-ph/9411301ADSCrossRefGoogle Scholar
  15. 15.
    J.N. Hedditch, W. Kamleh, B.G. Lasscock, D.B. Leinweber, A.G. Williams, J.M. Zanotti, Phys. Rev. D 72, 114507 (2005) hep-lat/0509106ADSCrossRefGoogle Scholar
  16. 16.
    H.Y. Jin, J.G. Korner, T.G. Steele, Phys. Rev. D 67, 014025 (2003) hep-ph/0211304ADSCrossRefGoogle Scholar
  17. 17.
    D. Horn, J. Mandula, Phys. Rev. D 17, 898 (1978)ADSCrossRefGoogle Scholar
  18. 18.
    J. Govaerts, L.J. Reinders, P. Francken, X. Gonze, J. Weyers, Nucl. Phys. B 284, 674 (1987)ADSCrossRefGoogle Scholar
  19. 19.
    R. Kleiv, arXiv:1407.2292 [hep-ph]Google Scholar
  20. 20.
    W. Chen, T.G. Steele, S.L. Zhu, J. Phys. G 41, 025003 (2014) arXiv:1306.3486 [hep-ph]ADSCrossRefGoogle Scholar
  21. 21.
    W. Chen, T.G. Steele, S.L. Zhu, Universe 2, 13 (2014) arXiv:1403.7457 [hep-ph]Google Scholar
  22. 22.
    A.A. Petrov, hep-ph/9808347Google Scholar
  23. 23.
    Hadron Spectrum Collaboration (L. Liu et al.), JHEP 1207, 126 (2012) arXiv:1204.5425 [hep-ph]Google Scholar
  24. 24.
    T. Barnes, nucl-th/0009011Google Scholar
  25. 25.
    A. Engler, H.E. Fisk, R.w. Kraemer, C.M. Meltzer, J.B. Westgard, Phys. Rev. Lett. 15, 224 (1965)ADSCrossRefGoogle Scholar
  26. 26.
    R.H. Dalitz, T.C. Wong, G. Rajasekaran, Phys. Rev. 153, 1617 (1967)ADSCrossRefGoogle Scholar
  27. 27.
    D.W. Thomas, A. Engler, H.E. Fisk, R.W. Kraemer, Nucl. Phys. B 56, 15 (1973)ADSCrossRefGoogle Scholar
  28. 28.
    R.J. Hemingway, Nucl. Phys. B 253, 742 (1985)ADSCrossRefGoogle Scholar
  29. 29.
    M. Niiyama et al., Phys. Rev. C 78, 035202 (2008) arXiv:0805.4051 [hep-ex]ADSCrossRefGoogle Scholar
  30. 30.
    CLAS Collaboration (K. Moriya et al.), Phys. Rev. C 88, 045201 (2013) 88Google Scholar
  31. 31.
    HADES Collaboration (G. Agakishiev et al.), Phys. Rev. C 87, 025201 (2013) arXiv:1208.0205 [nucl-ex]CrossRefGoogle Scholar
  32. 32.
    CLAS Collaboration (K. Moriya et al.), Phys. Rev. Lett. 112, 082004 (2014) arXiv:1402.2296 [hep-ex]ADSCrossRefGoogle Scholar
  33. 33.
    ExHIC Collaboration (S. Cho), arXiv:1702.00486 [nucl-th]Google Scholar
  34. 34.
    D. Jido, E. Oset, T. Sekihara, Eur. Phys. J. A 42, 257 (2009) arXiv:0904.3410 [nucl-th]ADSCrossRefGoogle Scholar
  35. 35.
    T. Hyodo, W. Weise, D. Jido, L. Roca, A. Hosaka, Mod. Phys. Lett. A 23, 2393 (2008) arXiv:0802.2212 [hep-ph]ADSCrossRefGoogle Scholar
  36. 36.
    Y. Akaishi, T. Yamazaki, M. Obu, M. Wada, Nucl. Phys. A 835, 67 (2010) arXiv:1002.2560 [nucl-th]ADSCrossRefGoogle Scholar
  37. 37.
    C.S. An, B. Saghai, S.G. Yuan, J. He, Phys. Rev. C 81, 045203 (2010) arXiv:1002.4085 [nucl-th]ADSCrossRefGoogle Scholar
  38. 38.
    D. Jido, T. Sekihara, Y. Ikeda, T. Hyodo, Y. Kanada-En’yo, E. Oset, Nucl. Phys. A 835, 59 (2010) arXiv:1003.4560 [nucl-th]ADSCrossRefGoogle Scholar
  39. 39.
    A. Martinez Torres, D. Jido, Phys. Rev. C 82, 038202 (2010) arXiv:1008.0457 [nucl-th]ADSCrossRefGoogle Scholar
  40. 40.
    C. An, B. Saghai, Int. J. Mod. Phys. A 26, 619 (2011) arXiv:1008.1177 [nucl-th]ADSCrossRefGoogle Scholar
  41. 41.
    T.T. Takahashi, M. Oka, Prog. Theor. Phys. Suppl. 186, 172 (2010) arXiv:1009.1790 [hep-lat]ADSCrossRefGoogle Scholar
  42. 42.
    T. Sekihara, T. Hyodo, D. Jido, Phys. Rev. C 83, 055202 (2011) arXiv:1012.3232 [nucl-th]ADSCrossRefGoogle Scholar
  43. 43.
    T. Hyodo, D. Jido, Prog. Part. Nucl. Phys. 67, 55 (2012) arXiv:1104.4474 [nucl-th]ADSCrossRefGoogle Scholar
  44. 44.
    T. Sekihara, T. Hyodo, D. Jido, arXiv:1109.0061 [nucl-th]Google Scholar
  45. 45.
    B.J. Menadue, W. Kamleh, D.B. Leinweber, M.S. Mahbub, Phys. Rev. Lett. 108, 112001 (2012) arXiv:1109.6716 [hep-lat]ADSCrossRefGoogle Scholar
  46. 46.
    A. Martinez Torres, M. Bayar, D. Jido, E. Oset, Phys. Rev. C 86, 055201 (2012) arXiv:1202.4297 [hep-lat]ADSCrossRefGoogle Scholar
  47. 47.
    J. Revai, Few Body Syst. 54, 1865 (2013) 54ADSCrossRefGoogle Scholar
  48. 48.
    J.A. Oller, Int. J. Mod. Phys. Conf. Ser. 26, 1460096 (2014) arXiv:1309.2196 [nucl-th]CrossRefGoogle Scholar
  49. 49.
    S.X. Nakamura, D. Jido, Progr. Theor. Exp. Phys. 2014, 023D01 (2014) arXiv:1310.5768 [nucl-th]CrossRefGoogle Scholar
  50. 50.
    T. Sekihara, S. Kumano, Phys. Rev. C 89, 025202 (2014) arXiv:1311.4637 [nucl-th]ADSCrossRefGoogle Scholar
  51. 51.
    B.J. Menadue, W. Kamleh, D.B. Leinweber, M. Selim Mahbub, B.J. Owen, PoS Lattice 2013, 280 (2014) arXiv:1311.5026 [hep-lat]Google Scholar
  52. 52.
    S.X. Nakamura, D. Jido, PoS Hadron 2013, 141 (2013) arXiv:1312.6768 [nucl-th]Google Scholar
  53. 53.
    A. Dot, T. Myo, Nucl. Phys. A 930, 86 (2014) arXiv:1406.1540 [nucl-th]ADSCrossRefGoogle Scholar
  54. 54.
    S. Ohnishi, Y. Ikeda, T. Hyodo, E. Hiyama, W. Weise, J. Phys. Conf. Ser. 569, 012077 (2014) arXiv:1408.0118 [nucl-th]CrossRefGoogle Scholar
  55. 55.
    J.M.M. Hall, W. Kamleh, D.B. Leinweber, B.J. Menadue, B.J. Owen, A.W. Thomas, R.D. Young, Phys. Rev. Lett. 114, 132002 (2015) arXiv:1411.3402 [hep-lat]ADSCrossRefGoogle Scholar
  56. 56.
    T. Sekihara, S. Kumano, JPS Conf. Proc. 8, 022006 (2015) arXiv:1411.3414 [hep-ph]Google Scholar
  57. 57.
    J.M.M. Hall, W. Kamleh, D.B. Leinweber, B.J. Menadue, B.J. Owen, A.W. Thomas, R.D. Young, PoS Lattice 2014, 094 (2014) arXiv:1411.3781 [hep-lat]Google Scholar
  58. 58.
    S.i. Nam, H.K. Jo, arXiv:1503.00419 [hep-ph]Google Scholar
  59. 59.
    K. Miyahara, T. Hyodo, Phys. Rev. C 93, 015201 (2016) arXiv:1506.05724 [nucl-th]ADSCrossRefGoogle Scholar
  60. 60.
    K. Miyahara, T. Hyodo, E. Oset, Phys. Rev. C 92, 055204 (2015) arXiv:1508.04882 [nucl-th]ADSCrossRefGoogle Scholar
  61. 61.
    K. Miyahara, T. Hyodo, JPS Conf. Proc. 10, 022011 (2016) arXiv:1508.07707 [nucl-th]Google Scholar
  62. 62.
    J. He, P.L. Lu, Int. J. Mod. Phys. E 24, 1550088 (2015) arXiv:1510.00580 [nucl-th]ADSCrossRefGoogle Scholar
  63. 63.
    S. Ohnishi, Y. Ikeda, T. Hyodo, W. Weise, Phys. Rev. C 93, 025207 (2016) arXiv:1512.00123 [nucl-th]ADSCrossRefGoogle Scholar
  64. 64.
    K. Miyahara, T. Hyodo, arXiv:1512.02735 [nucl-th]Google Scholar
  65. 65.
    C. Fernandez-Ramirez, I.V. Danilkin, V. Mathieu, A.P. Szczepaniak, Phys. Rev. D 93, 074015 (2016) arXiv:1512.03136 [hep-ph]ADSCrossRefGoogle Scholar
  66. 66.
    T. Hyodo, AIP Conf. Proc. 1735, 020012 (2016) arXiv:1512.04708 [hep-ph]CrossRefGoogle Scholar
  67. 67.
    R. Molina, M. Dring, Phys. Rev. D 94, 056010 (2016) 94ADSCrossRefGoogle Scholar
  68. 68.
    Y. Kamiya, K. Miyahara, S. Ohnishi, Y. Ikeda, T. Hyodo, E. Oset, W. Weise, Nucl. Phys. A 954, 41 (2016) arXiv:1602.08852 [hep-ph]ADSCrossRefGoogle Scholar
  69. 69.
    Z.W. Liu, J.M.M. Hall, D.B. Leinweber, A.W. Thomas, J.J. Wu, Phys. Rev. D 95, 014506 (2017) arXiv:1607.05856 [nucl-th]ADSCrossRefGoogle Scholar
  70. 70.
    F.Y. Dong, B.X. Sun, J.L. Pang, arXiv:1609.08354 [nucl-th]Google Scholar
  71. 71.
    J.M.M. Hall, W. Kamleh, D.B. Leinweber, B.J. Menadue, B.J. Owen, A.W. Thomas, Phys. Rev. D 95, 054510 (2017) arXiv:1612.07477 [hep-lat]ADSCrossRefGoogle Scholar
  72. 72.
    S.H. Kim, S.i. Nam, D. Jido, H.C. Kim, arXiv:1702.08645 [hep-ph]Google Scholar
  73. 73.
    J.A. Oller, U.G. Meissner, Phys. Lett. B 500, 263 (2001) hep-ph/0011146ADSCrossRefGoogle Scholar
  74. 74.
    D. Jido, J.A. Oller, E. Oset, A. Ramos, U.G. Meissner, Nucl. Phys. A 725, 181 (2003) nucl-th/0303062ADSCrossRefGoogle Scholar
  75. 75.
    Z.H. Guo, J.A. Oller, Phys. Rev. C 87, 035202 (2013) arXiv:1210.3485 [hep-ph]ADSCrossRefGoogle Scholar
  76. 76.
    M. Mai, U.G. Meissner, Nucl. Phys. A 900, 51 (2013) arXiv:1202.2030 [nucl-th]ADSCrossRefGoogle Scholar
  77. 77.
    M. Mai, U.G. Meissner, Eur. Phys. J. A 51, 30 (2015) arXiv:1411.7884 [hep-ph]ADSCrossRefGoogle Scholar
  78. 78.
    L.S. Kisslinger, E.M. Henley, Eur. Phys. J. A 47, 8 (2011) arXiv:0911.1179 [hep-ph]ADSCrossRefGoogle Scholar
  79. 79.
    Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)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 PhysicsDoguş University, Acibadem-KadiköyIstanbulTurkey
  2. 2.School of PhysicsInstitute for Research in Fundamental Sciences (IPM)TehranIran
  3. 3.Department of PhysicsKocaeli UniversityIzmitTurkey

Personalised recommendations