Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 43 No. 4 (1970) pp. 1021-1034

[ Full Text PDF : FREE ACCESS (737K) ]

Finite Energy Sum Rules and Duality of Sakaton Rearrangement Diagrams

Masahiro Imachi

Department of Physics, Kyushu University, Fukuoka

(Received October 24, 1969)

Abstract:

It will be found that the amplitude X (a sakaton rearrangement amplitude with the t-u channel duality) should behave as repulsive backgrounds and the amplitude H (a sakaton rearrangement amplitude with the s-t channel duality) should behave as resonances at low energies, in order to reproduce the high energy behavior correctly, i. e. a prominent negative real part of X and a positive imaginary part of H.


URL : http://ptp.ipap.jp/link?PTP/43/1021/
DOI : 10.1143/PTP.43.1021

[ Full Text PDF : FREE ACCESS (737K) ] Citation:


References:

  1. M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 40 (1968), 353[PTP].
    The relation between SR diagram and Regge pole exchange (Veneziano model) was discussed in references 2).
  2. T. Matsuoka, K. Ninomiya and S. Sawada Prog. Theor. Phys. 42 (1969), 56[PTP].
    K. Matumoto, Nuovo Cim. Lett. 1 (1969), 620.
    J. L. Rosner, Phys. Rev. Lett. 22 (1969), 689[APS].
    H. Harari, Phys. Rev. Lett. 22 (1969), 562[APS].
    K. Kikkawa, S. A. Klein, B. Sakita and M. A. Virasoro, Wisconsin University preprint (1969).
  3. R. Dolen, D. Horn and C. Schmid, Phys. Rev. Lett. 19 (1968), 402[APS].
    K. Igi and S. Matsuda, Phys. Rev. Lett. 18 (1967), 625[APS].
    A. A. Logunov, L. D. Soloviev and A. N. Tavkhelidze, Phys. Lett. B 24 (1967), 181[CrossRef].
  4. F. N. Dickmen, Phys. Rev. Lett. 18 (1967), 798[APS].
  5. C. Schmid, Phys. Rev. Lett. 20 (1968), 689[APS].
  6. V. Barger and D. Cline, Phys. Rev. 155 (1967), 1792[APS].
  7. R. Jengo, Phys. Lett. B 28 (1969), 606[CrossRef].
  8. M. Imachi, K. Kinoshita, K Shiga, F. Toyoda and M. Uehara, Prog. Theor. Phys. 43 (1970), 444[PTP]; Soryushiron Kenkyu (mimeographed cirrcular in Japanese) 38 (1969), 536.
  9. P. W. Coulter, E. S. Ma and G. L. Shaw, Phys. Rev. Lett. 23 (1969), 106[APS].
  10. H. Harari, Phys. Rev. Lett. 20 (1968), 1395[APS].
  11. W. Gilbert, Phys. Rev. 108 (1957), 1078[APS].
  12. M. Elizur and H. R. Rubinstein, Phys. Rev. Lett. 18 (1967), 417[APS].
  13. G. Goldhaber, Proceedings of the Berkeley Conference (1966), p. 103.
  14. A. Ashmore, C. J. S. Damerell, W. R. Frisken, D. P. Owen, F. C. Peterson, A. L. Read, D. G. Ryan and D. H. White, Phys. Rev. Lett. 21 (1968), 387[APS].
  15. J. Iizua, K. Okada and O. Shito, Prog. Theor. Phys. 35 (1966), 1061[PTP].
    S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
  16. Reference 1) and G. Alexander, H. J. Lipkin and F. Scheck, Phys. Rev. Lett. 17 (1966), 412[APS].
  17. J. G. Asbury, J. D. Dowell, S. Kato, D. Lundquist, T. B. Novey, A. Yokosawa, B. Barnet, P. F. M. Koehler and P. Steinberg, Phys. Rev. Lett. 23 (1969), 194[APS].
    A. T. Lea, B. R. Martin and G. C. Oades, Phys. Rev. 165 (1968), 1770[APS].
  18. E. Fermi and C. N. Yang, Phys. Rev. 76 (1949), 1739[APS].
    Y. Fujii, Prog. Theor. Phys. 21 (1959), 232[PTP].
    S. Tanaka, Prog. Theor. Phys. 16 (1956), 625[PTP].
    S. Sakata, Prog. Theor. Phys. 16 (1956), 688[PTP].
  19. D. P. Roy and M. Suzuki, Phys. Lett. B 28 (1969), 558[CrossRef].
  20. D. Cline, Phys. Rev. Lett. 21 (1968), 1268[APS].
  21. G. Veneziano, Nuovo Cim. A 57 (1968), 190.
  22. M. Imachi, K. Kinoshita, K. Shiga, F. Toyoda and M. Uehara, Prog. Theor. Phys. 42 (1969), 128[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 1105-1107 :
    Dip-Bump Structure of Cross Section and Urbaryon Rearrangement
    Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda
  2. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 1119-1120 :
    Rearrangement of Urbaryon Lines and Forces between Composite Hadrons
    Masahiro Imachi, Takashige Oroguchi, Shoichiro Otsuki and Fumihiko Toyoda
  3. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 147-165 :
    Super Exclusion Principle for Hadronic Processes. I *
    Masako Bando and Shigeru Machida
  4. Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 403-415 :
    Hadron Reactions and Urbaryon Rearrangement
    Akizo Kobayashi, Takeo Matsuoka, Kansuke Ninomiya and Shoji Sawada
  5. Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 513-529 :
    Super Exclusion Principle for Hadronic Processes. II *
    Masako Bando and Shigeru Machida
  6. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1634-1645 :
    Urbaryon Rearrangement Diagram and Nonleptonic Hyperon Decays
    Hujio Noda and Fumihiko Toyoda
  7. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1849-1878 :
    Hadron Reactions and Urbaryon Rearrangement. I
    Masahiro Imachi, Takashige Oroguchi, Shoichiro Otsuki and Fumihiko Toyoda
  8. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 877-887 :
    Interrelation between Exclusive and Inclusive Reactions
    Hujio Noda and Kisei Kinoshita
  9. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 184-195 :
    Urbaryon Rearrangement and Breaking of Line Reversal Relations. II
    Takeo Matsuoka and Shoji Sawada
  10. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 971-985 :
    Breaking of Line Reverse Relation and Exotics
    Masahiro Imachi and Shoichiro Otsuki
  11. Progress of Theoretical Physics Supplement No.63 (1978) pp. 49-279 :
    Constituent Rearrangement Model and Hadron Reactions
    Yuji Igarashi, Masahiro Imachi, Takeo Matsuoka, Kansuke Ninomiya, Shoichiro Otsuki, Shoji Sawada and Fumihiko Toyoda