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Multifractal analysis of minimum bias events in\(\sqrt s \) = 630 GeV\(\bar p\) p collisions

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Zeitschrift für Physik C Particles and Fields

Abstract

A search for multifractal structures, in analogy with multifractal theories, is performed on UA1 minimum bias events. A downward concave multifractal spectral function,f(α) (where α is the Lipschitz-Hölder exponent), indicates that there are self-similar cascading processes, governing the evolution from the quark to the hadron level, in the final states of hadronic interactions.f(α) is an accurate measure of the bin to bin fluctuations of any observable. It is shown that the most sensitive comparison between data and the Monte Carlo models, GENCL and PYTHIA 4.8 can be made usingf(α). It is found that these models do not fully reproduce the behaviour of the data.

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References

  1. A. Białas, R. Peschanski: Nucl. Phys. B 273 (1986) 703; B308 (1988) 708

    Google Scholar 

  2. C. Albajar et al.: Nucl. Phys. B 345 (1990) 1

    Google Scholar 

  3. P. Lipa, B. Buschbeck: Phys. Lett. B 223 (1989) 465; P. Lipa: Thesis, University of Vienna (1990), HEPHY-PUB 542/90; B. Buschbeck, P. Lipa: HEPHY-PUB 535/90, in Proceedings of the Santa Fe Workshop on Intermittency in High Energy Collisions, Santa Fe, 1990, p. 96. F. Cooper, R. C. Hwa, I. Sarcevic (eds.). Singapore: World Scientific 1991

    Google Scholar 

  4. B. Buschbeck, P. Lipa, R. Peschanski: Phys. Lett. B 215 (1988) 778; A. De Angelis: CERN-PPE/90-129; Abreu et al.: Phys. Lett. B247 (1990) 137; W. Braunschweig et al.: Phys. Lett. B231 (1989) 548

    Google Scholar 

  5. I.V. Ajinenko et al.: Phys. Lett. B 222 (1989) 306; W. Kittel: HEN-335/90, in: Proceedings of the XX. International Symposium on Multiparticle Dynamics, p. 401. Gut-Holmecke/ Germany, 1990

    Google Scholar 

  6. R. Holynski et al.: Phys. Rev. Lett. 62 (1989) 733

    Google Scholar 

  7. I. Derado: in: Hadronic Matter Collisions, Tucson, Arizona, 1988, p. 222. P. Carruthers, J. Rafelski (eds.). Singapore: World Scientific 1989

    Google Scholar 

  8. I.M. Dremin: Mod. Phys. Lett. A 3 1333 (1988); A 4 1027 (1989); P. Carruthers: Int. J. Mod. Phys., A4 5587 (1989); V. Simak: in: Proceedings of the XX. International Symposium on Multiparticle Dynamics, p. 474. Gut-Holmecke/Germany, September 1990

    Google Scholar 

  9. M. Blazek: Phys. Lett. B 247 (1990) 576, FUSAV-65/90

    Google Scholar 

  10. R.C. Hwa: Phys. Rev. D 41 (1990) 1456; C.B. Chiu, R.C. Hwa: Phys. Rev. D43 (1991) 100; C.B. Chiu, K. Fiałkowski, R.C. Hwa: Mod. Phys. Lett. A5, 2651 (1990)

    Google Scholar 

  11. W. Florkowski, R.C. Hwa: Phys. Rev. D 43, (1991) 1548

    Google Scholar 

  12. J. Feder: Fractals. New York, London: Plenum Press 1988; G. Paladin, A. Vulpiani: Phys. Rep. 156 (1987) 147; J.L. McCauley: Phys. Rep. 186 (1990) 225–266; B. Mandelbrot: The fractal geometry of nature. New York: Freeman 1982

    Google Scholar 

  13. H. Dibon, M. Markytan: UA1/TN90-11, in: Proceedings of the Santa Fe Workshop on Intermittency in High Energy Collisions, Santa Fe, 1990, p. 109. F. Cooper, R.C. Hwa, I. Sarcevic (eds.). Singapore: World Scientific 1991; K. Sugano: NL-HEP-CP-90-37, in: Proceedings of the Santa Fe Workshop on Intermittency in High Energy Collisions, Santa Fe, 1990, p. 1. F. Cooper, R. C. Hwa, I. Sarcevic (eds.). Singapore: World Scientific 1991; Marburg Workshop on CAMP, Marburg, 1990, p. 247; F. Rimondi: FERMILAB-CONF-90/166-E [E-741/CDF], talk given at the Marburg Workshop on CAMP, Marburg, 1990, p. 276

    Google Scholar 

  14. H. Dibon, M. Markytan: HEPHY-PUB 541/90, in: Proceedings of the XX. International Symposium on Multiparticle Dynamics, p. 449. Gut-Holmecke/Germany, 1990

  15. M. Markytan, H. Dibon: HEPHY-PUB 547/90, in: Proceedings of the XXVth Int. Conference on High Energy Physics, Singapore, 1990, p. 984

  16. I. Derado et al.: MPI-PhE/91-08

  17. G.I. Derado et al.: Nucl. Phys. B 291 (1987) 445

    Google Scholar 

  18. H.U. Bengtsson, T. Sjöstrand: Comput. Phys. Commun. 46 (1987) 43

    Google Scholar 

  19. A. Astbury et al.: Nucl. Instrum. Methods 238 (1985) 288

    Google Scholar 

  20. B. Buschbeck et al.: UA1/TN89-28 (1989)

  21. C. Albajar et al.: Z. Phys. C—Particles and Fields 44 (1989) 15

    Google Scholar 

  22. M. Pimiä et al.: UA1/TN83-20 (1983); G. Ciapetti et al.: UA1/TN84-55 (1984)

  23. Ch. Fuglesang: thesis, University of Stockholm (1987); Particle Production at the CERN\(\bar p\) p Collider; G.J. Alner et al.: Phys. Rep. 154 (1987) 247–383; G.J. Alner et al.: Phys. Lett. 160B (1985) 193; R.E. Ansorge et al., Z. Phys. C—Particles and Fields 43, 357 (1989)

  24. T. Sjöstrand, M. Van Zijl: Phys. Rev. D 36 (1987) 2019

    Google Scholar 

  25. R.C. Hwa: OITS-459, 1990; C.B. Chiu, R.C. Hwa: OITS-466, 1991; H. Dibon: HEPHY-PUB 560/91, in: Proceedings of the Ringberg Workshop on Multiparticle Production, Fluctuations and Fractal Structure, Ringberg Castle, Germany, 1991, p. 82; R.C. Hwa, J. Pan: Phys. Rev. D45 (1992) 1476; I. Derado, R.C. Hwa, G. Jancso, N. Schmitz: MPI-PhE/91-05; OITS-471 (1991); H. Dibon, F. Mandl, N. Neumeister, M. Markytan: HEPHY-PUB 567/91, in Proceedings of the XXI. International Symposium on Multiparticle Dynamics, Wuhan/China, 1991, to be published

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Authors and Affiliations

  1. Aachen

    A. Böhrer, H. Faissner, A. Geiser, S. Lammel, T. Moers, A. Moulin, R. Priem, H. Reithler, R. Schleichert, H. Teykal, H. Tuchscherer, K. Wacker & H. Wagner

  2. Birmingham

    J. D. Dowell, N. Ellis, I. F. Fensome, J. Garvey & I. Kenyon

  3. Helsinki

    V. Karimäki, R. Kinnunen, E. Pietarinen, M. Pimiä & J. Tuominiemi

  4. Kiel

    O. C. Allkofer, S. Bartha, D. Dau, S. Levegruen, A. Morsch, R. Prosi & M. Rauschkolb

  5. Imperial College, London

    E. Clayton, C. Markou, S. McMahon, C. Seez, L. Taylor & T. S. Virdee

  6. Queen Mary Westfield College, London

    E. Eisenhandler, P. I. P. Kalmus, M. Landon, D. Robinson, G. Thompson & W. von Schlippe

  7. CIEMAT, Madrid

    A. Ferrando, M. I. Josa, J. M. Salicio & E. Torrente-Lujan

  8. Rutherford Appleton Lab, Rutherford, USA

    R. Apsimon, J. A. Coughlan & T. P. Shah

  9. Vienna

    B. Buschbeck, H. Dibon, M. Krammer, P. Lipa, M. Markytan, N. Neumeister, F. Szoncso, A. Taurok, G. Walzel, D. Weselka & C. -E. Wulz

Authors
  1. C. Albajar
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  2. O. C. Allkofer
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  3. R. Apsimon
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  4. S. Bartha
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  5. A. Bezaguet
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  6. A. Böhrer
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  7. B. Buschbeck
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  8. P. Cennini
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  9. S. Cittolin
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  10. E. Clayton
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  11. J. A. Coughlan
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  12. D. Dau
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  13. M. Della Negra
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  14. M. Demoulin
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  15. H. Dibon
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  16. J. D. Dowell
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  17. K. Eggert
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  18. E. Eisenhandler
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  19. N. Ellis
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  20. H. Faissner
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  21. I. F. Fensome
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  22. A. Ferrando
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  23. J. Garvey
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  24. A. Geiser
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  25. A. Givernaud
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  26. A. Gonidec
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  27. W. Jank
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  28. G. Jorat
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  29. M. I. Josa
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  30. P. I. P. Kalmus
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  31. V. Karimäki
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  32. I. Kenyon
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  33. R. Kinnunen
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  34. M. Krammer
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  35. S. Lammel
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  36. M. Landon
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  37. S. Levegruen
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  38. P. Lipa
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  39. C. Markou
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  40. M. Markytan
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  41. G. Maurin
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  43. T. Meyer
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  46. A. Moulin
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  53. M. Pimiä
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  55. J. -P. Porte
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  56. R. Priem
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  57. R. Prosi
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  58. E. Radermacher
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  59. M. Rauschkolb
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  60. H. Reithler
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  61. J. -P. Revol
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  62. D. Robinson
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  63. C. Rubbia
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  64. J. M. Salicio
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  66. D. Schinzel
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  67. R. Schleichert
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  68. C. Seez
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  69. T. P. Shah
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  70. P. Sphicas
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  71. K. Sumorok
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  72. F. Szoncso
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  73. C. H. Tan
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  74. A. Taurok
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  75. L. Taylor
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  76. S. Tether
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  77. H. Teykal
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  78. G. Thompson
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  79. E. Torrente-Lujan
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  80. H. Tuchscherer
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  81. J. Tuominiemi
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  82. T. S. Virdee
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  83. W. von Schlippe
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  84. V. Vuillemin
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  85. K. Wacker
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  86. H. Wagner
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  87. G. Walzel
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  88. D. Weselka
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  89. C. -E. Wulz
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UA1 Collaboration., Albajar, C., Allkofer, O.C. et al. Multifractal analysis of minimum bias events in\(\sqrt s \) = 630 GeV\(\bar p\) p collisions. Z. Phys. C - Particles and Fields 56, 37–46 (1992). https://doi.org/10.1007/BF01589705

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  • DOI: https://doi.org/10.1007/BF01589705

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