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Prog. Theor. Phys. Vol. 46 No. 4 (1971) pp. 1125-1149

[ Full Text PDF : FREE ACCESS (1693K) ]

Dip-Bump Structure of Hadron Large Angle Scattering in Terms of Multiple Scattering Mechanism and the Spin Correlation Parameters

Seiichi Wakaizumi

Department of Physics, Hiroshima University, Hiroshima

(Received February 12, 1971)

Abstract:

Large angle scattering of elementary porticles is assumed to occur through the multiple scattering mechanism of composite particles. Here the quark model is taken and Regge poles are exchanged between quarks. Then, the double scattering of quarks leads to Regge-cut like energy dependence. The quark-quark scattering amplitude has the form of aRsα(t) and the quark-antiquark scattering amplitude has aRe-iπα(t)sα(t), except for pomeron exchange, under the assumption of exchange degeneracy of residues and trajectories of Regge poles exchange between quarks. The difference of phase between these two amplitudes and the multiple scattering mechanism result in the break and the dip-bump structure of differential cross sections for processes pp→pp, K+p→K+p, K+n →K0p, etc.,and pp→pp, π±p→π±p, π-p→π0n, K-p→K-p, etc., respectively.
Since the dip-bump structure of differential cross sections is sensitively determined from the phase behavior of scattering amplitude is our model, the validity of this model is tested by measurements of sensitively phase-dependent quantities such as spin rotation parameters R and A for π±p elastic scattering and spin correlation parameters D, R, A, Axx, Ayy, Azz, Azx, etc., for pp elastic scattering. Here, these parameters are evaluated in our model and measurement of these parameters are proposesd. It is shown that these parameters have peculiar behavior in the range of momentum transfers where the dip or break occurs in differential cross sections. Finally, relations between the multiple scattering mechanism of composite particles and the origin of resonance formation in the direct channel are discussed briefly.


URL : http://ptp.ipap.jp/link?PTP/46/1125/
DOI : 10.1143/PTP.46.1125

[ Full Text PDF : FREE ACCESS (1693K) ] Citation:

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References:

  1. J. V. Allaby et al., Phys. Lett. B 28 (1968), 67[CrossRef].
    A. Ashmore et al., Phys. Rev. Lett. 21 (1968), 387[APS].
    D. R. Rust et al., Phys. Rev. Lett. 24 (1970), 1361[APS].
    C. T. Coffin et al., Phys. Rev. Lett. 17 (1966), 458[APS].
  2. B. Amblard et al., Lund Conference Report (1969), p. 155.
    Cosika et al., Kiev Conference Report (1970).
    J. V. Allaby et al., Phys. Lett. B 30 (1969), 500[CrossRef].
  3. G. Zweig, CERN preprint, Jan. 1964.
    M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
  4. M. Bando, I. Fukui, Y. Takada, S. Wakaizumi and T. Yoshida, Prog. Theor. Phys. 37 (1967), 128[PTP].
    M. Imachi and S. Sawada, Prog. Theor. Phys. 37 (1967), 759[PTP].
  5. D. R. Harrington and A. Pagnamenta, Phys. Rev. 173 (1968), 1599[APS].
    Y. Takada, Prog. Theor. Phys. 39 (1968), 1536[PTP].
    N. Dean, Phys. Rev. 182 (1969), 1695[APS].
  6. S. Wakaizumi, Prog. Theor. Phys. 42 (1969), 903[PTP].
  7. R. Hagedorn, Nuovo Cim. 35 (1965), 216.
  8. S. Machida and T. Yoshida, Prog. Theor. Phys. 39 (1968), 1304[PTP].
  9. R. J. Glauber, Lectures in Theoretical Physics, ed. W. E. Brittin et al. (Interscience Publishers Inc., New York), Vol. 1 (1959), p. 315.
  10. H. J. Lipkin and F. Scheck, Phys. Rev. Lett. 16 (1966), 71[APS].
    D. Itō, Soryushiron Kenkyu (mimeographed circular in Japanese) 32 (1965), 217.
    J. J. J. Kokkedee and L. van Hove, Nuovo Cim. 42 (1966), 711.
  11. T. Regge, Nuovo Cim. 14 (1959), 951.
  12. C. Itzykson and M. Jacob, Nuovo Cim. A 48 (1967), 909.
    M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 40 (1968), 353[PTP].
    T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 41 (1969), 1533[PTP].
  13. N. N. Meiman, Sov. Phys. -JETP 43 (1962), 2277.
    A. A. Logunov et al., Phys. Lett. 7 (1963), 69[CrossRef]; ibid. 7 (1963), 71[CrossRef].
    L. van Hove, Phys. Lett. 5 (1963), 252[CrossRef].
    A. Bialas and B. E. Y. Svensson, Nuovo Cim. A 42 (1966), 672.
  14. D. H. Sharp and W. G. Wagner, Phys. Rev. 131 (1963), 2226[APS].
  15. I. Ia. Pomeranchuk, Sov. Phys. -JETP 7 (1958), 499.
  16. K. J. Foley et al., Phys. Rev. Lett. 19 (1967), 857[APS]; ibid. 14 (1965), 862[APS].
  17. K. J. Foley et al., Phys. Rev. Lett. 19 (1967), 857[APS].
  18. K. J. Foley et al., Phys. Rev. Lett. 19 (1967), 193[APS].
    A. A. Nomofilov et al., Phys. Lett. 22 (1966), 350[CrossRef].
  19. W. M. Katz et al., Phys. Rev. Lett. 19 (1967), 265[APS].
    A. Ashmore et al., Phys. Rev. Lett. 21 (1969), 387[APS].
    J. Orear et al., Phys. Lett. B 28 (1967), 61[CrossRef].
  20. C. T. Coffin et al., Phys. Rev. 150 (1967), 1169[APS].
    Rust et al., Ref. 1).
    Coffin et al., Ref. 1).
    J. Orear et al., Phys. Lett. B 28 (1968), 61[CrossRef].
  21. A. R. Clyde, Rep. UCRL-16275 (1966).
    C. M. Ankenbrandt et al., Phys. Rev. 170 (1968), 1223[APS].
    J. V. Allaby et al., Phys. Lett. B 27 (1968), 49[CrossRef]; ibid. 25 (1967), 156[CrossRef]; ibid. 28 (1968), 67[CrossRef].
  22. W. Rarita, R. J. Riddell, C. B. Chiu and R. J. N. Phillips, Phys. Rev. 165 (1968), 1615[APS].
  23. A. V. Stirling et al., Phys. Rev. Lett. 14 (1965), 763[APS].
  24. L. Montanet, Lund Conference Report (1969), p. 195.
    K. J. Foley et al., Phys. Rev. Lett. 15 (1965), 45[APS].
    A. N. Diddens et al., Phys. Rev. Lett. 9 (1962), 108[APS].
  25. M. Borghini et al., Phys. Lett. B 24 (1967), 77[CrossRef]; Lund Conference Report (1969).
    J. Parry et al., Lund Conference Report (1969).
  26. M. Borghini et al., Phys. Lett. 21 (1966), 114[CrossRef].
    R. J. Esterling et al., Phys. Rev. Lett. 21 (1968), 1410[APS].
  27. C. Daum et al., Nucl. Phys. B 6 (1968), 617[CrossRef].
  28. P. Bonamy et al., Phys. Lett. 23 (1966), 501[CrossRef].
  29. J. J. J. Kokkedee, Phys. Lett. 22 (1966), 88[CrossRef].
  30. W. De Baere et al., Nuovo Cim. A 43 (1966), 142.
    W. F. Baker et al., Phys. Lett. B 28 (1968), 291[CrossRef].
    K. J. Foley et al., Phys. Rev. Lett. 11 (1963), 503[APS]; ibid. 15 (1965), 45[APS].
    J. S. Loos et al., Phys. Rev. 173 (1968), 1330[APS].
  31. C. Daum et al., Nucl. Phys. B 6 (1968), 273[CrossRef].
    J. Owen et al., Phys. Lett. B 28 (1968), 61[CrossRef].
    Aachen-Berlin-CERN-London-Vienna Collaboration, Phys. Lett. B 24 (1967), 434[CrossRef].
    R. D. Mathews, Nucl. Phys. B 11 (1969), 339[CrossRef].
    S. M. Pruss, Phys. Rev. Lett. 23 (1969), 189[APS].
  32. M. L. Goldberger and K. M. Watson, Collision Theory (John Wiley & Sons, Inc., New York, 1968), Chap. II, p. 750.
  33. D. R. Harrington, Phys. Rev. 184 (1969), 1745[APS].
  34. E. L. Berger and G. Fox, Phys. Rev. Lett. 25 (1970), 1783[APS].
    R. J. N. Phillips, Phys. Lett. B 25 (1967), 517[CrossRef].
    R. L. Thews, Phys. Rev. D 1 (1970), 1847[APS].
  35. 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. 45 (1971), 1849[PTP].
  36. Y. Takada, private communication.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1928-1944 :
    Polarization Phenomena and Composite Structure of Hadrons
    Yoshio Takada
  2. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1945-1957 :
    Multiple Scattering Effects on the Composite Model for KN and KN Elastic and Charge-Exchange Processes
    Morimitsu Tanimoto

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