HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 45 (1971) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 45 No. 6 (1971) pp. 1903-1934

[ Full Text PDF : FREE ACCESS (1884K) ]

Veneziano Duality in SU(3)-Symmetric Meson-Baryon Scattering

Takeo Inami

Institute of Physics, College of General Education, University of Tokyo, Komaba, Meguro-ku, Tokyo 153

(Received February 19, 1971)

Abstract:

An SU(3) symmetric Veneziano model for pseudoscalar meson-baryon scattering is constructed. The model incorporates the full content of the exchange degeneracy pattern of baryon spectrum. A hypothesis is made that the leading trajectories bootstrap themselves as long as it is consistent with the crossing relation, no ghosts on the leading trajectories and certain physical requirements. If we further adopt a subsidiary hypothesis on the SU(3) structures of the daughter states, the A amplitude (we use CGLN's notation) is completely determined to within a scale factor. Possible SU(3) splitting of the trajectories is considered. Theoretical prediction for threshold values of A amplitudes agrees quantitatively with experimental values (which are given in terms of the s-wave and p-wave scattering lengths) for πN and KN scattering. It is shown that in the limit of quantized intercepts, the present model satisfies Adler's condition approximately. When applied to high-energy forward scattering, the model predicts the t-dependence of the F/D ratios of vector and tensor meson couplings. The theoretical value of the A amplitude associated with the nonstrange vector and tensor Regge pole exchange agrees with the empirical value within a factor of two.


URL : http://ptp.ipap.jp/link?PTP/45/1903/
DOI : 10.1143/PTP.45.1903

[ Full Text PDF : FREE ACCESS (1884K) ] Citation:

References:

  1. K. Igi and S. Matsuda, Phys. Rev. 18 (1967), 625[APS].
    A. A. Logunov, L. D. Soloviev and A. N. Tavkhelidze, Phys. Lett. B 24 (1967), 264[CrossRef].
    R. Dolen, D. Horn and C. Schmidt, Phys. Rev. 166 (1968), 1768[APS].
  2. C. Schmid, Phys. Rev. Lett. 20 (1968), 689[APS].
  3. G. Veneziano, Nuovo Cim. A 57 (1968), 190.
  4. Exchange degeneracy was first introduced in Regge pole theory by R. C. Arnold, Phys. Rev. Lett. 14 (1965), 657[APS].
  5. Lovelace, Phys. Lett. B 28 (1968), 264[CrossRef].
  6. K. Igi, Phys. Lett. B 28 (1968), 330[CrossRef].
  7. K. Igi and J. K. Storrow, Nuovo Cim. A 62 (1969), 972.
    K. Igi and K. P. Pretzl, Nuovo Cim. A 63 (1969), 609.
    T. Inami, Nuovo Cim. A 63 (1969), 987.
    E. L. Berger and G. C. Fox, Phys. Rev. 188 (1969), 2120[APS].
    C. Lovelace, Nucl. Phys. B 12 (1969), 253[CrossRef].
  8. Y. Hara, Phys. Rev. 182 (1969), 1906[APS].
    R. Amann, Lett. Nuovo Cim. 2 (1969), 87.
    A. W. Hendry, S. T. Jones and H. W. Wyld, Jr., Nucl. Phys. B 15 (1969), 389[CrossRef].
    E. L. Berger and G. C. Fox, Ref. 7).
    Shu-Yuan Chu and B. R. Desai, Phys. Rev. 188 (1969), 2215[APS].
    S. Fenster and K. C. Wali, Phys. Rev. 1 (1970), 1409[APS].
    G. C. Joshi and A. Pagnamenta, Phys. Rev. 1 (1970), 3117[APS].
  9. For the study on other processes, see O. Miyamura, Prog. Theor. Phys. 42 (1969), 305, [PTP](πN →ηN);
    M. L. Blackmon and K. C. Wali, Phys. Rev. 2 (1970), 258, [APS](πN →ηN);
    M. G. Schmidt, Nucl. Phys. B 15 (1969), 157, [CrossRef](πN →KΛ, KΣ).
  10. R. Capps, Phys. Rev. Lett. 22 (1969), 215[APS].
    J. Mandula, C. Rebbi, J. Weyers and G. Zweig, Phys. Rev. Lett. 22 (1969), 1147[APS].
    V. Barger and C. Michael, Phys. Rev. 186 (1969), 1592[APS].
    M. Rimpault and Ph. Salin, Nucl. Phys. B 22 (1970), 235[CrossRef].
  11. For the latest analyses of baryon decay rates within the framework of SU(3) symmetry, see E. Flaminio, W. Metzger, N. P. Samios and M. Goldberg, BNL Preprint (1970);
    and also D. E. Plane, P. Baillon, C. Bricman, M. Ferro-Luzzi, J. Meyer, E. Burkhrdt, H. Filthuth, E. Kluge, H. Oberlack, R. Barltand, P. Granet, J. P. Porte and J. Prevost, Nucl. Phys. B 22 (1970), 93[CrossRef].
  12. Throughout this paper, we used the Clebsch-Gordan coefficient given by P. McNamee and F. Chilton, Rev. Mod. Phys. 36 (1964), 1005[APS].
  13. K. Kawarabayashi, S. Kitakado and H. Yabuki, Phys. Lett. B 28 (1968), 432[CrossRef].
  14. M. Ademollo, H. R. Rubinstein, G. Veneziano and M. A. Virasoro, Phys. Rev. Lett. 19 (1967), 1402[APS].
    S. Matsuda, Phys. Rev. 169 (1968), 1169[APS].
    H. R. Rubinstein, A. Schwimer, G. Veneziano and M. A. Virasoro, Phys. Rev. Lett. 21 (1968), 491[APS].
    C. Schmid, Phys. Rev. Lett. 20 (1968), 628[APS].
  15. The fixed cut model recently proposed by
    R. Carlitz and M. Kislinger, Phys. Rev. Lett. 24 (1970), 186, [APS]
    is an example of such models.
  16. J. L. Rosner, Phys. Rev. Lett. 24 (1970), 173[APS].
  17. C. Lovelace, CERN Preprint, TH- 1123 (1969).
    M. Rimpault and Ph. Salin, Nucl. Phys. B 22 (1970), 235[CrossRef].
    P. R. Auvil, F. Halzen and C. Michael, CERN Preprint, TH-1163 (1970).
  18. R. Capps, Phys. Rev. Lett. 22 (1969), 215[APS].
    J. Mandula, C. Rebbi, J. Weyers and G. Zweig, Phys. Rev. Lett. 23 (1969), 266[APS].
  19. V. Barger and D. Cline, Phys. Rev. Lett. 19 (1967), 1504[APS].
  20. R. Capps, Phys. Rev. D 1 (1970), 254[APS].
  21. J. Hamilton and W. S. Woolcock, Rev. Mod. Phys. 35 (1963), 737[APS].
    G. Höhler, G. Schlaile and R. Strauss, Z. Phys. 229 (1969), 217.
    V. K. Samaranayake, W. S. Woolcock and P. D. B. Collins, Lund Conference, 1969.
  22. R. E. Cutkosky and B. B. Deo, Phys. Rev. D 1 (1970), 2547[APS].
    B. D. Martin and G. D. Thompson, Nucl. Phys. B 22 (1970), 285[CrossRef].
    B. Carreras and A. Donnachie, Daresbury Preprint (1970).
  23. N. J. Stenger, W. E. Slater, D. H. Stork, H. K. Ticho, G. Goldhaber and S. Goldhaber, Phys. Rev. 134 (1964), B1111[APS].
  24. S. L. Adler, Phys. Rev. 137 (1965), 1022[APS].
  25. C. Lovelace, Phys. Lett. B 28 (1968), 264[CrossRef].
    M. Ademollo, G. Veneziano and S. Weinberg, Phys. Rev. Lett. 22 (1969), 83[APS].
  26. P. G. O. Freund, Phys. Rev. Lett. 20 (1968), 235[APS].
    H. Harari, Phys. Rev. Lett. 20 (1968), 1395[APS].
  27. V. Barger and R. J. N. Phillips, Phys. Rev. 187 (1969), 2210[APS].
  28. For references, see V. Barger and D. Cline, Phenomenological Theories of High Energy Scattering (W. A. Benjamin).
  29. R. C. Arnold and M. Blackmon, Phys. Rev. 176 (1968), 2082[APS].
    M. L. Blackmon and G. R. Goldstein, Phys. Rev. 179 (1969), 1480[APS].
    C. B. Chiu and J. Finkelstein, Nuovo Cim. 57 (1968), 649.
    G. Cohen-Tannoudji, A. Morel and H. Navelet, Nuovo Cim. 48 (1967), 1075.
    F. Schrempp, DESY Rep. No. B 6 (1968), 487.
  30. F. Henyey, G. L. Kane, Jon Pumplin and M. H. Ross, Phys. Rev. 182 (1969), 1579[APS].
  31. J. J. Sakurai, Phys. Rev. Lett. 17 (1966), 1021[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 208-227 :
    An Approach to Regge Behaviour and Duality Based on an Infinite Sum of One-Particle-Exchange Amplitudes
    Kisei Kinoshita, Masanori Kobayashi and Kunio Shiga
  2. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1878-1897 :
    Dual Regge Cut Amplitudes for πN Scattering
    Kenji Yamagishi
  3. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2346-2357 :
    Classification of Baryons in an SU(3) Regge Scheme
    Masakuni Ida
  4. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1145-1151 :
    A Dual Model for Meson-Baryon Scattering Based on Crossing Invariance
    Keiji Igi
  5. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1731-1749 :
    A Resonance Model of Baryons without Parity Doublets Based on Duality and Quark Model
    Keiji Igi and Tokuzo Shimada

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.