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Prog. Theor. Phys. Vol. 44 No. 1 (1970) pp. 219-229

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

Self-Reproducing Conditions on the Pomeranchuk Singularity

Haruo Fujisaki

Institute of Physics, College of General Education, University of Tokyo, Meguroku, Tokyo

(Received February 10, 1970)

Abstract:

A “self-reproducing" bootstrap model is proposed for the Pomeranchukon, by the use of a Reggeization procedure of production amplitudes by Gribov, Pomeranchuk and Ter-Martirosyan. On the basis of the analysis of two Pomeranchukon contribution to the crossed-channel unitarity, it is shown that, in order to satisfy the “self-reproducing” condition, the Pomeranchukon must be a fixed branch point or two colliding branch points, with the intercept equal to 1. It is also argued that the discontinuity across the Pomeranchukon will not be determined by the unitarity alone. On the assumption of a standard form of the discontinuity, our model predicts two typical features of the diffraction scattering in the asymptotic energy region. First, the total cross sections decrease faster than 1/log s and s tends to infinity. Secondly, the ratio of real to imaginary parts of the forward amplitude is negative and decreases like 1/log s at large s. These predictions are irrespective of whether the Pomeranchukon is fixed or moving.


URL : http://ptp.ipap.jp/link?PTP/44/219/
DOI : 10.1143/PTP.44.219

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

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References:

  1. P. G. O. Freund, Phys. Rev. Lett. 20 (1968), 235[APS].
    P. G. O. Freund and R. J. Rivers, Phys. Lett. B 29 (1969), 510[CrossRef].
  2. H. Harari, Phys. Rev. Lett. 20 (1968), 1395[APS].
    F. J. Gilman, H. Harari and Y. Zarmi, Phys. Rev. Lett. 21 (1968), 323[APS].
  3. R. Oehme, Phys. Rev. Lett. 18 (1967), 1222[APS].
    J. Finkelstein and C.-I. Tan, Phys. Rev. Lett. 19 (1967), 1061[APS].
  4. Y. Srivastava, Phys. Rev. Lett. 19 (1967), 47[APS].
  5. J. H. Schwarz, Phys. Rev. 167 (1968), 1342[APS].
  6. J. S. Ball and F. Zachariasen, Phys. Rev. Lett. 23 (1969), 346[APS].
  7. G. F. Chew and A. Pignotti, Phys. Rev. 176 (1968), 2112[APS].
    G. F. Chew and W. R. Frazer, Phys. Rev. 181 (1969), 1914[APS].
  8. R. C. Hwa, Lett. Nuovo Cim. 2 (1969), 369, and SUNY at Stony Brook Preprint (1969).
  9. E. W. Anderson et al., Phys. Rev. Lett. 16 (1966), 855[APS].
  10. G. F. Chew and S. C. Frautschi, Phys. Rev. 123 (1961), 1478[APS].
  11. G. N. Gribov, I. Ya. Pomeranchuk and K. A. Ter-Martirosyan, Phys. Rev. B 139 (1965), 184[APS].
  12. K. A. Ter-Martirosyan, Sov. Phys. -JETP 17 (1963), 233.
  13. S. Mandelstam, Nuovo Cim. 30 (1963), 1113; ibid. 30 (1963), 1127; ibid. 30 (1963), 1148.
  14. Yu. A. Simonov, Sov. Phys. -JETP 21 (1965), 160. See also reference 11).
  15. J. Finkelstein and K. Kajantie, Phys. Lett. B 26 (1967), 305[CrossRef].
  16. J. B. Bronzan and C. E. Jones, Phys. Rev. 160 (1967), 1494[APS].
  17. V. N. Gribov, Nucl. Phys. 22 (1961), 249[CrossRef].
  18. J. V. Allaby et al., Phys. Lett. B 30 (1969), 500[CrossRef].
  19. K. Igi, Nuovo Cim. 38 (1965), 1815.
  20. L. Di Lella, Proceedings of the Heidelberg International Conference on Elementary Particles (North-Holland Publishing Co., Amsterdam, 1968), p. 159.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 659-660 :
    Self-Reproducing Flat Pomeron in the Eikonal Approximation
    Fujio Takagi
  2. Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1352-1353 :
    Comments on the “Self-Reproducing Pomeron”
    Haruo Fujisaki
  3. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1939-1943 :
    Self-Reproducing Pomeron and Diffraction Scattering
    Haruo Fujisaki
  4. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 577-589 :
    Consistency Conditions on the Cut Strength of the Self-Reproducing Pomeron
    Haruo Fujisaki
  5. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1111-1124 :
    On the Freund Model for Pomeranchuk Term
    Osamu Miyamura
  6. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 619-625 :
    On the Quasistability of the Pomeron
    Haruo Fujisaki
  7. Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1294-1307 :
    Phenomenological Consequences of Arnold and Barnett's Shielding-Cut Mechanism in Proton-Proton Diffraction Scattering
    Haruo Fujisaki and Ei-ichi Akiba
  8. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 914-925 :
    On the Phenomenological Compatibility of the Self-Reproducing-Cut Pomeron with Arnold and Barnett's Shielding-Cut Mechanism in Proton-Proton Diffraction Scattering
    Haruo Fujisaki and Ei-ichi Akiba

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