Advertisement

The European Physical Journal C

, Volume 58, Issue 1, pp 47–56 | Cite as

Role of bare propagator poles in phenomenological Dyson–Schwinger type models

  • S. Ceci
  • A. ŠvarcEmail author
  • B. Zauner
Regular Article - Theoretical Physics

Abstract

The generation of dressed meson–nucleon scattering-matrix poles is presented. A possible scenario for the interrelation of bare and dressed baryon poles is shown by using a particular version of coupled-channel Dyson–Schwinger type model. These findings are then applied to the Roper resonance, and the conclusion is drawn that it is dynamic in nature. A possible correlation between bare and dressed propagator poles on one side and the quantities of constituent quark-model calculations on the other side are discussed.

PACS

14.20.Gk 12.38.-t 13.75.-n 25.80.Ek 13.85.Fb 14.40.Aq 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.S. Ball, R.R. Campbell, P.S. Lee, G.L. Shaw, Phys. Rev. Lett. 28, 1143 (1972) CrossRefADSGoogle Scholar
  2. 2.
    A. Nagova, J. Pisut, Nucl. Phys. B 61, 445 (1973) CrossRefADSGoogle Scholar
  3. 3.
    A. Nagova, J. Pisut, Nucl. Phys. B 65, 544E (1973) CrossRefGoogle Scholar
  4. 4.
    T.D. Spearman, Phys. Rev. D 10, 1660 (1974) ADSGoogle Scholar
  5. 5.
    J.S. Ball, R.L. Goble, Phys. Rev. D 11, 1171 (1975) ADSGoogle Scholar
  6. 6.
    S. Capstick, W. Roberts, Prog. Part. Nucl. Phys. 45, S241–S331 (2000) CrossRefADSGoogle Scholar
  7. 7.
    S. Capstick, Unquenching the Quark Model. Presentation given on BRAG 2007, September 4, 2007, University of Bonn, Germany. http://www.kph.uni-mainz.de/MAID/BRAG2007/contributions/
  8. 8.
    C. Hanhart, What we can learn from spectroscopy and what not. Presentation given on BRAG 2007, September 4, 2007, University of Bonn, Germany. http://www.kph.uni-mainz.de/MAID/BRAG2007/contributions/
  9. 9.
    H.W. Fearing, S. Scherer, Phys. Rev. C 62, 034003 (2000) CrossRefADSGoogle Scholar
  10. 10.
    M. Gell-Mann, M.L. Goldberger, Phys. Rev. 96, 1433 (1954) zbMATHCrossRefADSMathSciNetGoogle Scholar
  11. 11.
    R. Haag, Phys. Rev. 112, 669 (1958) zbMATHCrossRefADSMathSciNetGoogle Scholar
  12. 12.
    J.S.R. Chisholm, Nucl. Phys. 26, 469 (1961) zbMATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    S. Kamefuchi, L. O’Raifeartaigh, A. Salam, Nucl. Phys. 28, 529 (1961) MathSciNetGoogle Scholar
  14. 14.
    S. Coleman, J. Wess, B. Zumino, Phys. Rev. 177, 2239 (1969) CrossRefADSGoogle Scholar
  15. 15.
    B.K. Jennings, Phys. Lett. 196, 307 (1987) Google Scholar
  16. 16.
    S. Capstick, A. Švarc, L. Tiator, J. Gegelia, M.M. Giannini, E. Santopinto, C. Hanhart, S. Scherer, T.-S.H. Lee, T. Sato, N. Suzuki, BRAG2007 Workshop SUMMARY. Eur. Phys. J. A 35(3), 253–266 (2008) ADSGoogle Scholar
  17. 17.
    N. Kaiser, P.B. Siegel, W. Weise, Phys. Lett. B 362, 23 (1995) ADSGoogle Scholar
  18. 18.
    T. Inoue, E. Oset, M.J. Vicente Vacas, Phys. Rev. C 65, 035204 (2002) CrossRefADSGoogle Scholar
  19. 19.
    M.F.M. Lutz, E.E. Kolomeitsev, Nucl. Phys. A 755, 29 (2005) ADSGoogle Scholar
  20. 20.
    M. Döring, Nucl. Phys. A 786, 164 (2007) ADSGoogle Scholar
  21. 21.
    O. Krehl, C. Hanhart, S. Krewaldand, J. Speth, Phys. Rev. C 62, 025207 (2000) CrossRefADSGoogle Scholar
  22. 22.
    A.M. Gasparyan, J. Haidenbauer, C. Hanhart, J. Speth, Phys. Rev. C 68, 045207 (2003) CrossRefADSGoogle Scholar
  23. 23.
    T.-S.H. Lee, in Proceedings of the Workshop on the Physics of Excited Nucleons (NSTAR 2005), Tallahassee, Florida, 10–15 October 2005 (World Scientific, Singapore, 2006), pp. 1–16 CrossRefGoogle Scholar
  24. 24.
    N. Mathur, Y. Chen, S.J. Dong, T. Draper, I. Horváth, F.X. Lee, K.F. Liu, J.B. Zhang, Phys. Lett. B 605, 137 (2005) ADSGoogle Scholar
  25. 25.
    T. Barnes, F.E. Close, Phys. Lett. B 123, 221 (1983) Google Scholar
  26. 26.
    Z. Li, Phys. Rev. D 44, 2841 (1991) ADSGoogle Scholar
  27. 27.
    C.E. Carlson, N.C. Mukhopadhyay, Phys. Rev. Lett. 67, 3745 (1991) CrossRefADSGoogle Scholar
  28. 28.
    T. Sato, T.-S.H. Lee, Phys. Rev. C 54, 2660 (1996) CrossRefADSGoogle Scholar
  29. 29.
    T. Sato, T.-S.H. Lee, Phys. Rev. C 63, 055201 (2001) CrossRefADSGoogle Scholar
  30. 30.
    L. Tiator, D. Drechsel, S. Kamalov, M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 19, 55–60 (2004) ADSGoogle Scholar
  31. 31.
    A. Matsuyama, T. Sato, T.-S.H. Lee, Phys. Rep. 493, 193 (2007) CrossRefADSGoogle Scholar
  32. 32.
    I.R. Afnan, Acta Phys. Pol. 8, 2397 (1998) ADSGoogle Scholar
  33. 33.
    A.W. Thomas, Adv. Nucl. Phys. 13, 1 (1984) Google Scholar
  34. 34.
    D.S. Hwang, D.-W. Kim, Phys. Lett. B 601, 137 (2004) ADSGoogle Scholar
  35. 35.
    Yu.S. Kalashnikova, Phys. Rev. D 72, 034010 (2005) ADSGoogle Scholar
  36. 36.
    P.J. Fink Jr., G. He, R.H. Landau, J.W. Schnik, Phys. Rev. C 41, 2720 (1990) CrossRefADSGoogle Scholar
  37. 37.
    R.E. Cutkosky, C.P. Forsyth, R.E. Hendrick, R.L. Kelly, Phys. Rev. D 20, 2839 (1979) ADSGoogle Scholar
  38. 38.
    M. Batinić, I. Šlaus, A. Švarc, B.M.K. Nefkens, Phys. Rev. C 51, 2310 (1995) CrossRefADSGoogle Scholar
  39. 39.
    M. Batinić, I. Dadić, I. Šlaus, A. Švarc, B.M.K. Nefkens, T.S.-H. Lee, Phys. Scr. 58, 15 (1998) CrossRefADSGoogle Scholar
  40. 40.
    W.-M. Yao, et al. (Particle data Group). J. Phys. G: Nucl. Part. Phys. 33, 1 (2006) ADSGoogle Scholar
  41. 41.
    S. Ceci, A. Švarc, B. Zauner, D.M. Manley, S. Capstick, Phys. Lett. B 659, 228 (2008) ADSGoogle Scholar
  42. 42.
    S. Ceci, J. Stahov, A. Švarc, S. Watson, B. Zauner, Phys. Rev. D 77, 116007 (2008) ADSGoogle Scholar
  43. 43.
    B.C. Liu, B.S. Zou, Phys. Rev. Lett. 96, 042002 (2006) CrossRefADSGoogle Scholar
  44. 44.
    A. Švarc, in Proceedings of the Workshop on the Physics of Excited Nucleons, NSTAR2005: Plenary Talks, Tallahassee, 12–15 October 2005 (World Scientific, Singapore, 2006), pp. 37–47 Google Scholar
  45. 45.
  46. 46.
    R.A. Arndt, W.J. Briscoe, I.I. Strakovsky, R.L. Workman, Phys. Rev. C 74, 045205 (2006) CrossRefADSGoogle Scholar
  47. 47.
    S. Ceci, A. Švarc, B. Zauner, Phys. Rev. Lett. 97, 062002 (2006) CrossRefADSGoogle Scholar
  48. 48.
    S. Capstick, N. Isgur, Phys. Rev. D 34, 2809 (1986) CrossRefADSGoogle Scholar
  49. 49.
    B. Saghai, Z. Li, Eur. Phys. J. A 11, 217 (2001) ADSGoogle Scholar
  50. 50.
    M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 12, 447 (2001) ADSGoogle Scholar
  51. 51.
    G.-Y. Chen, S. Kamalov, S.N. Yang, D. Drechsel, L. Tiator, Nucl. Phys. A 723, 447 (2003) ADSGoogle Scholar
  52. 52.
    W.T. Chiang, S.N. Yang, M. Vanderhaeghen, D. Drechsel, Nucl. Phys. A 723, 205 (2003) ADSGoogle Scholar
  53. 53.
    V.A. Tryasuchev, Eur. Phys. J. A 22, 97 (2004) ADSGoogle Scholar
  54. 54.
    N.G. Kelkar, M. Nowakowski, K.P. Khemchandani, S.R. Jain, Nucl. Phys. A 730, 121 (2004) ADSGoogle Scholar
  55. 55.
    A.V. Anisovich, A. Sarantsev, O. Bartholomy, E. Klempt, V.A. Nikonov, U. Thoma, Eur. Phys. J. A 25, 427 (2005) ADSGoogle Scholar
  56. 56.
    A.V. Sarantsev, V.A. Nikonov, A.V. Anisovich, E. Klempt, U. Thoma, Eur. Phys. J. A 25, 441 (2005) ADSGoogle Scholar
  57. 57.
    B. Juliá-Díaz, B. Saghai, T.-S.H. Lee, F. Tabakin, Phys. Rev. C 73, 055204 (2006) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Rudjer Bošković InstituteZagrebCroatia

Personalised recommendations