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Il Nuovo Cimento A (1965-1970)

, Volume 34, Issue 3, pp 413–437 | Cite as

A model of multiparticle final states in hadronic and current-induced reactions

  • K. Kinoshita
Article
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Summary

A constituent multichain model in the (1+1) dimension is presented which gives exclusive and inclusive distribution functions of multimeson final states in hadronic soft collisions, in e+e annihilations and in deep inelastic electroproductions. Scaling behaviour of inclusive quantities in hadronic and deep inelastic phenomena is unifiedly understood as due to a balance between tension and fragility of the constituent chain, on the basis of a two-phase picture of constituent urbaryons. The extension of the model to full dimensions and other ingredients towards the real world are discussed, and remarks on related approaches are given.

Модель многочастичных конечных состояний в адронных и токо-индуцированных реакциях

Резюме

Предлагается составная много-цепная модель в (1+1)-измерении, которая дает эксклюзивные и инклюзивные функции распределения для многомезонных конечных состояний при мягких адронных соударениях, e+e аннигиляциях и глубоко-неупрутих электророждениях. Поведение скейлинга для инклюзивных величин в адронных и глубоко-неупругих явлениях обБясняется с помощью баланса между напряжением и хрупкостью составляющих цепи на основе двухфазной картины составляющих «урбарионов». Рассматривается расширение модели на полное число измерений и другие ингредиенты, относящиеся к реальному миру. Обсуждаются использованные приближения.

Riassunto

Si presenta un modello costituente a molte catene (1+1)-dimensionale che dà funzioni di distribuzione esclusive ed inclusive di stati finali multimesonici nelle collisioni adroniche molli, nell’annichilazioni e+e e nell’elettroproduzione anelastica profonda. Si comprende in modo unificato il comportamento di variazione di scala delle quantità inclusive nei fenomeni adronici e anelastici profondi come dovuti ad un equilibrio fra la tensione e la fragilità della catena costituente sulla base di un quadro a due fasi di urbarioni costituenti. Si discutono l’estensione del modello a tutte le dimensioni ed altri ingredienti verso il mondo reale, e si fanno osservazioni sugli approcci relativi.

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References

  1. (1).
    R. P. Feynman:Photon Hadron Interactions (New York, N. Y., 1972);J. D. Bjorken andE. A. Paschos:Phys. Rev.,185, 1975 (1969).Google Scholar
  2. (2).
    K. Kinoshita:Forts. Phys.,24, 341 (1976)CrossRefGoogle Scholar
  3. (3).
    H. Satz: lectures given at theInternational Summer Institute in Theoretical Physics, DESY, September 15–26, 1975 (preprint Bi-75/13).Google Scholar
  4. (4).
    J. E. Mayer andM. G. Mayer:Statistical Mechanics (New York, N. Y., 1940);G. E. Uhlenbeck andG. W. Ford:Theory of linear graphs with applications to the theory of the virial development of the properties of gases, inStudies in Statistical Mechanics, Vol.1 (Amsterdam, 1962).Google Scholar
  5. (5).
    T. D. Lee:Phys. Rev. D,6, 3617 (1972);T. Uematsu:Prog. Theor. Phys.,51, 882 (1974);G. H. Thomas:Proceedings of the V International Symposium on Many-Particle Hadrodynamics (Eisenach and Leipzig, 1974), p. 699, and papers cited therein.CrossRefADSMATHGoogle Scholar
  6. (6).
    A. Kobayashi, T. Matsuoka, K. Ninomiya andS. Sawada:Prog. Theor. Phys.,45, 403 (1971).CrossRefADSGoogle Scholar
  7. (7).
    H. Noda andK. Kinoshita:Prog. Theor. Phys.,53, 185 (1975).CrossRefADSGoogle Scholar
  8. (8).
    K. Kinoshita andY. Myozyo:Prog. Theor. Phys.,52, 1873 (1974).CrossRefADSGoogle Scholar
  9. (9).
    N. S. Craigie, A. B. Kraemmer andK. D. Rothe:Zeits. Phys.,259, 1 (1973);Nuovo Cimento,18 A, 188 (1973).CrossRefADSGoogle Scholar
  10. (10).
    R. Baier, J. Engels, H. Satz andK. Schilling:Nuovo Cimento,28 A, 455 (1975); see alsoE. H. de Groot:Nucl. Phys.,48 B, 295 (1972).CrossRefADSGoogle Scholar
  11. (11).
    G. F. Chew andA. Pignotti:Phys. Rev.,176, 2112 (1968);C. E. De Tar:Phys. Rev. D. 3, 128 (1971).CrossRefADSGoogle Scholar
  12. (12).
    D. K. Campbell:Phys. Rev. D,6, 2658 (1972).CrossRefADSGoogle Scholar
  13. (13).
    H. Noda andK. Kinoshita:Prog. Theor. Phys.,47, 1300 (1972).CrossRefADSGoogle Scholar
  14. (14).
    H. Noda andK. Kinoshita:Prog. Theor. Phys.,50, 1357 (1973).CrossRefADSGoogle Scholar
  15. (15).
    G. Preparata:Phys. Rev. D,7, 2973 (1973);R. Gatto andG. Preparata:Riv. Nuovo Cimento,4, 445 (1974).CrossRefADSGoogle Scholar
  16. (16).
    H. Lee:Phys. Rev. Lett. 30, 719 (1973);G. Veneziano:Phys. Lett.,43 B, 413 (1973).CrossRefADSGoogle Scholar
  17. (17).
    V. N. Gribov andL. N. Lipatov:Sov. Journ. Nucl. Phys.,15, 675 (1972);R. Gatto, P. Menotti andI. Vendramin:Phys. Rev. D,7, 2524 (1973).Google Scholar
  18. (18).
    R. P. Feynman:Balatonfüred Conference (1972);J. D. Bjorken:Phys. Rev. D,7, 282 (1973);R. N. Cahn, J. W. Cleymans andE. W. Colglazier:Phys. Lett.,43 B, 323 (1973);M. Chaichian, S. Kitakado, W. S. Lam andY. Zarmi:Nuovo Cimento,20 A, 233 (1974).Google Scholar
  19. (19).
    N. Cabibbo, G. Parisi andM. Testa:Lett. Nuovo Cimento,1, 35 (1970);G. Altarelli andM. Maiani:Phys. Lett.,41 B, 480 (1972).CrossRefGoogle Scholar
  20. (20).
    S. D. Drell andT. M. Yan:Phys. Rev. Lett.,24, 181 (1970);G. West:Phys. Rev. Lett.,24, 1206 (1970).CrossRefADSGoogle Scholar
  21. (21).
    F. Buccella, H. Kleinert, C. A. Savoy, E. Celeghini andE. Sorace:Nuovo Cimento,69 A, 133 (1973);H. J. Melosh:Phys. Rev. D,9, 1095 (1974);G. Altarelli, N. Cabibbo, L. Maiani andR. Petronzio:Nucl. Phys.,69 B, 531 (1974).ADSGoogle Scholar
  22. (22).
    K. Kinoshita:Prog. Theor. Phys.,51, 1989 (1974);K. Kinoshita andH. Noda:Prog. Theor. Phys. 52, 1622 (1974).CrossRefADSGoogle Scholar
  23. (23).
    K. Kinoshita andY. Kinoshita:Lett. Nuovo Cimento,15, 101 (1976); preprint Bi-TP76/5 (1976), to appear inNucl. Phys. CrossRefGoogle Scholar
  24. (24).
    M. Mizouchi, H. Noda andT. Tashiro:Prog. Theor. Phys.,53, 1844 (1975);54, 787 (1975);K. Kinoshita, Y. Kinoshita, Y. Myozyo andH. Noda:Memoir of Fac. Sci. Kyushu University, B5, 19 (1975).CrossRefADSGoogle Scholar
  25. (25).
    K. Kinoshita, Y. Kinoshita andY. Myozyo:Prog. Theor. Phys.,55, 211 (1976).CrossRefADSGoogle Scholar
  26. (26).
    Especially,D. Sivers, S. J. Brodsky andR. Blankenbecler:Phys. Rep.,23 C, 1 (1976), and papers cited therein.CrossRefADSGoogle Scholar
  27. (27).
    Y. Igarashi, T. Matsuoka andS. Sawada:Prog. Theor. Phys.,52, 618, 786 (1974);M. Imachi, S. Otsuki andF. Toyoda:Prog. Theor. Phys.,52, 1061 (1974);Y. Igarashi andT. Nishitani:Prog. Theor. Phys.,53, 1431 (1975);K. Awaya andS. Sawada:Prog. Theor. Phys.,53, 1072 (1975);T. Toyoda:Prog. Theor. Phys.,53, 1530 (1975);T. Matsuoka: preprint DPNU-25 (1975).CrossRefADSGoogle Scholar
  28. (28).
    M. Imachi, S. Otsuki andF. Toyoda: preprints KYUSHU-75-HE-4 and 7, and private communications.Google Scholar
  29. (29).
    H. Noda andK. Kinoshita:Prog. Theor. Phys.,48, 877 (1972);S. H. Tye andG. Veneziano:Nuovo Cimento,14 A, 711 (1973).CrossRefADSGoogle Scholar
  30. (30).
    M. Antinucci, A. Bertin, P. Capiluppi, M. D’Agostino-Bruno, A. M. Rossi, G. Vannini, G. Giacomelli andA. Bussière:Lett. Nuovo Cimento,6, 121 (1973).CrossRefGoogle Scholar
  31. (31).
    K. Böckmann: rapporteur’s talk at theEPS Conference on High-Energy Physics, Palermo, June 23–28, 1975, papers cited therein and private communication.Google Scholar
  32. (32).
    R. Blankenbecler, J. Tran Thanh Van, J. F. Gunion andD. Coon: SLAC-Pub-1483 (1974).Google Scholar
  33. (33).
    V. A. Matveev, R. M. Muradyan andA. V. Tavkhelidze:Lett. Nuovo Cimento,7, 719 (1973);S. J. Brodsky andG. Farrar:Phys. Rev. Lett.,31, 1153 (1973).CrossRefGoogle Scholar
  34. (34).
    C. G. Callan andD. J. Gross:Phys. Rev. D,11, 2905 (1975);R. F. Cahalan, K. A. Geer, J. Kogut andL. Susskind:Phys. Rev. D,11, 1199 (1975); see alsoZ. F. Ezawa andJ. C. Polkinghorne:Phys. Rev. D,11, 1993 (1975).CrossRefADSGoogle Scholar
  35. (35).
    S. M. Berman, J. D. Bjorken andJ. B. Kogut:Phys. Rev. D,4, 3388 (1971).CrossRefADSGoogle Scholar
  36. (36).
    P. V. Landshoff:Phys. Rev. D,10, 891 (1974).CrossRefADSGoogle Scholar
  37. (37).
    Z. F. Ezawa:Nuovo Cimento,23 A, 271 (1974).CrossRefADSGoogle Scholar
  38. (38).
    J. F. Gunion:Phys. Rev. D,10, 242 (1974).CrossRefADSGoogle Scholar
  39. (39).
    M. Imachi, T. Matsuoka, K. Ninomina andS. Sawada:Prog. Theor. Phys.,40 353 (1968).CrossRefADSGoogle Scholar
  40. (40).
    D. R. O. Morrison:Phys. Lett.,22, 528 (1966).CrossRefADSGoogle Scholar
  41. (41).
    K. Kinoshita andS. Pokorski:Lett. Nuovo Cimento,16, 498 (1976).CrossRefGoogle Scholar
  42. (42).
    A. S. Carroll, I-H. Chiang, T. F. Kycia, K. K. Li, P. O. Mazur, P. Molkett, D. C. Rahm, R. Rubinstein, W. F. Baker, D. P. Eartly, G. Giacomelli, P. F. M. Koehler, K. P. Pretzl, A. A. Wehmann, R. L. Cool andO. Fackler:Phys. Rev. Lett.,33, 928 (1974).CrossRefADSGoogle Scholar
  43. (43).
    Y. Eylon andH. Harari:Nucl. Phys.,80 B, 349 (1974).CrossRefADSGoogle Scholar
  44. (44).
    G. R. Farrar andD. R. Jackson:Phys. Rev. Lett.,35, 1416 (1975).CrossRefADSGoogle Scholar
  45. (45).
    B. Richter:Proceedings of the XVII International Conference on High-Energy Physics (London, 1974).Google Scholar
  46. (46).
    J. T. Dakin, G. J. Feldman, F. Martin, M. L. Perl andW. T. Toner:Phys. Rev. D,10, 1401 (1974).CrossRefADSGoogle Scholar
  47. (47).
    P. Darriulat, P. Dittmann, K. Eggert, M. Holder, K. T. McDonald, T. Modis, F. L. Navarria, A. Seiden, J. Strauss, G. Veszteryombi andE. G. H. Williams: contribution to thePalermo Conference, June 23–28, 1975;J. Strauss: private communication.Google Scholar
  48. (48).
    M. Bishari andJ. Koplik:Phys. Lett.,44 B, 175 (1973);Nucl. Phys.,72 B, 93 (1974);M. Bishari, G. F. Chew andJ. Koplik:Nucl. Phys.,72 B, 61 (1974);S. Kagiyama andK. Kinoshita:Prog. Theor. Phys.,50, 1965 (1973);S. Kagiyama:Prog. Theor. Phys.,51, 1488 (1974);54, 166 (1975);D. Amati, L. Caneschi andM. Ciafaloni:Nucl. Phys.,62B, 173 (1973);T. Morii andH. Noda:Prog. Theor. Phys.,52, 602 (1974).CrossRefADSGoogle Scholar
  49. (49).
    A. Casher, J. Kogut andL. Susskind:Phys. Rev. Lett.,31, 792 (1973);Phys. Rev. D,10, 732 (1974).CrossRefADSGoogle Scholar
  50. (50).
    F. E. Low:Phys. Rev. D,12, 163 (1975).CrossRefADSGoogle Scholar
  51. (51).
    S. Nussinov:Phys. Rev. Lett.,34, 1286 (1975); Princeton preprint COO-2220-57 (1975).CrossRefADSGoogle Scholar
  52. (52).
    B. Sakita andM. A. Virasoro:Phys. Rev. Lett.,24, 1146 (1970);H. B. Nielsen andP. Olesen:Phys. Lett.,32 B, 203 (1970).CrossRefADSGoogle Scholar
  53. (53).
    M. B. Einhorn andG. C. Fox: Fermilab-Pub-74/57-THY (1974);K. Ghoroku andT. Kawabe:Prog. Theor. Phys.,54, 1753 (1975).Google Scholar
  54. (54).
    J. Kuti andV. F. Weisskopf:Phys. Rev. D,4, 2381 (1971).CrossRefMATHGoogle Scholar
  55. (55).
    S. Pokorski andL. van Hove:Acta Phys. Polon., B5, 229 (1974);Nucl. Phys.,86 B, 243 (1975).Google Scholar
  56. (56).
    R. Baier andF. W. Bopp:Nucl. Phys.,85 B, 264 (1975); preprint Bi-75/11 (1975).CrossRefADSGoogle Scholar
  57. (57).
    M. Biyajima andO. Miyamura:Prog. Theor. Phys.,51, 1455 (1974);55, 1199 (1976); see alsoM. B. Einhorn andS. D. Ellis:Phys. Rev. Lett.,34, 1190 (1975).CrossRefADSGoogle Scholar
  58. (58).
    N. Nakamaru: Doctor Thesis, Tokyo University of Education (1974); preprint (1975).Google Scholar
  59. (59).
    S. Okubo:Phys. Lett.,5, 165 (1963);G. Zweig: CERN-TH 412 (1964);J. Iizuka:Prog. Theor. Phys. Suppl.,37–38, 21 (1966); a small violation is reported:V. Blobel, H. Fesefeldt, H. Franz, A. Hofman, Ch. Jetter, H. Neumann, B. Schröder andP. Söding:Phys. Lett.,59 B, 88 (1975).MathSciNetCrossRefADSMATHGoogle Scholar
  60. (60).
    J. Paton:VI International Colloquium on Multiparticle Reactions (Oxford, 1975), p. 429, and papers cited therein.Google Scholar

Copyright information

© Società Italiana di Fisica 1976

Authors and Affiliations

  • K. Kinoshita
    • 1
  1. 1.Department of Theoretical PhysicsUniversity of BielefeldBielefeldF. R. Germany

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