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Prog. Theor. Phys. Vol. 48 No. 3 (1972) pp. 900-915

Generalization of Geometrical Duality

Fujio Takagi

Department of Physics, Tohoku University, Sendai

(Received March 2, 1972)

Abstract:

A concept of geometrical duality (a geometrical picture for two-component duality) is extended to general two-body-two-body processes involving in general virtual particles, such as Reggeons, pomerons and virtual photons in addition to real hadrons or photons. This generalization enables us to analyze in a unified way various types of high energy reactions, such as elastic, inelastic-two-body, quasi-two-body scattering, multiple production, inclusive reactions, deep inelastic electron scattering and so on from the viewpoint of geometrical duality. This model predicts a kind of geometrical scaling. It is pointed out that there is a remarkable similarity between our model and Leader-Pennington's model based on a new kinematical variable.

URL : http://ptp.ipap.jp/link?PTP/48/900/
DOI : 10.1143/PTP.48.900

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References:

1. H. Harari, Ann. of Phys. 63 (1971), 432[CrossRef]; Phys. Rev. Lett. 26 (1971), 1400[APS]; SLAC-PUB-914, May (1971).
2. H. Harari, Phys. Rev. Lett. 20 (1968), 1395[APS].
   P. G. O. Freund, Phys. Rev. Lett. 20 (1968), 235[APS].
3. Y. Kohsaka and F. Takagi, Prog. Theor. Phys. 47 (1972), 925 [PTP][Errata; 48 (1972), 1058[PTP]]; Lett. Nuovo Cim. 2 (1971), 965; Prog. Theor. Phys. 48 (1972), 499[PTP].
4. M. Davier and H. Harari, Phys. Lett. B 35 (1971), 239[CrossRef].
   A. P. Contogouris, “Regge Analysis and Dual Absorptive Model” invited lecture at the Hamburg International Summer Institute, July (1971).
   David J. Crennell, Howard A. Gordon, Michael L. Ioffredo, Kwan-Wu Lai and J. Michael Scarr, Phys. Rev. Lett. 27 (1971), 1674[APS].
5. P. Bonamy, P. Borgeaud, M. Crozon, J. P. Guillaud, O. Guisan, P. Le Du, P. Sonderegger, J. K. Bienlein, S. Mango, L. Paul and H. Dinter, Proceedings of the Amsterdam International Conference on Elementary Particles, June 30 ∼ July 6 (1971).
6. G. A. Ringland and D. P. Roy, Phys. Lett. B 36 (1971), 110[CrossRef].
7. R. Shtokhamer, G. Berlad and G. Eilam, Phys. Rev. Lett. 27 (1971), 625[APS].
8. K. Itabashi, Lett. Nuovo Cim. 4 (1972), 241.
9. E. Leader and M. R. Pennington, Phys. Rev. Lett 27 (1971), 1325[APS].
10. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 43 (1970), 1105[PTP].
    M. Imachi, T. Oroguchi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 44 (1970), 1110[PTP]; ibid. 45 (1971), 1849[PTP].
11. Y. Kohsaka and F. Takagi, Lett. Nuovo Cim. 4 (1970), 747.
    F. Takagi, Prog. Theor. Phys. 45 (1971), 659[PTP].
12. F. J. Gilman, J. Pumplin, A. Schwimmer and L. Stodolsky, Phys. Lett. B 31 (1970), 387[CrossRef].
13. F. Takagi, Lett. Nuovo Cim. 4 (1972), 65.
14. See for example, C. E. DeTar, C. E. Jones, F. E. Low, J. H. Weis, J. E. Yong and Chung-I Tan, Phys. Rev. Lett. 26 (1971), 675[APS].
15. L. Stodolsky, SLAC-PUB-864, March (1971).
    R. Blankenbecler and Thomas L. Neff, SLAC-PUB-938, August (1971).
    G. Luste and R. Blankenbecler, SLAC-PUB-940, August (1971).
16. K. Ghoroku, M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 48 (1972), 210[PTP].
    S. Otsuki, Prog. Theor. Phys. 48 (1972), 347[PTP].
    Y. Kohsaka, “Geometrical Scaling in Two-Body and Quasi-Two-Body Hadronic Processes” Tohoku University preprint TU/72/90, April (1972).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1481-1487 :

   A Geometrical Aspect of Multiplicity Distribution and Elastic Diffraction Scattering

   Hisakazu Minakata

2. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1155-1167 :

   Impact Parameter Analysis of Multiperipheral Models with and without Clustering

   Fujio Takagi and David Kiang

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