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Factorial moments, cumulants and correlation integrals in π+ p andK + p interactions at 250 GeV/c

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Zeitschrift für Physik C Particles and Fields

Abstract

A selected sample of 59200 π+ p andK + p nonsingle-diffrative interactions at\(\sqrt s \) =22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as well as correlation integrals. The rise of factorial moments and cumulants with decreasing phase-space volume is stronger when evaluated in three than in lower dimensions. Ratios of slopes are easier to obtain than the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratios is better described by a Lévy stable law solution with μ=1.6 than by Gaussian approximation of the α-model (μ=2) or a second order phase transition (μ=0), but values μ>2 inconsistent with Lévy-type fluctuations are reached in a three-dimensional analysis. The multiparticle contributions to the factorial moments are calculated by means of factorial cumulant moments. A particular improvement of the method is that of correlation (or density) integrals. It leads to the conclusion that Bose-Einstein interference plays an important role in the intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.

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Author notes

  1. F. Botterweck

    Present address: MPI, Munich, Germany

  2. E. A. De Wolf

    Present address: Bevoegdverklaard Navorser NFWO, Belgium

Authors and Affiliations

  1. Department of Physics, Universitaire Instelling Antwerp, B-2610, Wilrijk, Belgium

    E. A. De Wolf & F. Verbeure

  2. Inter-University Institute for High Energies, B-1050, Brussels, Belgium

    E. A. De Wolf & F. Verbeure

  3. DESY-Institut für Hochenergiephysik, D-15735, Berlin-Zeuthen, Germany

    H. Böttcher

  4. Institute of Physics and Nuclear Techniques of Academy of Mining and Metallurgy and Institute of Nuclear Physics, PL-30055, Krakow, Poland

    K. Dziunikowska, D. Kisielewska & K. Olkiewicz

  5. Nuclear Physics Institute, Moscow State University, 119899, Moscow, Russia

    F. K. Rizatdinova, E. K. Shabalina & L. N. Smirnova

  6. University of Nijmegen and NIKHEF-H, NL-6525 ED, Nijmegen, The Netherlands

    F. Botterweck, M. Chalet (EC guest scientist) & W. Kittel

  7. Instute for High Energy Physics, 142284, Protvino, Russia

    P. V. Chliapnikov & O. G. Tchikilev

  8. Centro Brasileiro de Pesquisas Fisicas, 22290, Rio de Janeiro, Brazil

    A. M. F. Endler

  9. Institute of High Energy Physics of Tbilisi State University, 380086, Tbilisi, Georgia

    A. Tomaradze

  10. Institute of Physics, 375036, Yerevan, Armenia

    N. Agababyan & R. Sh. Hakobyan

Authors
  1. N. Agababyan
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  2. H. Böttcher
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Partially supported by grants from CPBP 01.06 and 01.09

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EHS/NA 22 Collaboration., Agababyan, N., Böttcher, H. et al. Factorial moments, cumulants and correlation integrals in π+ p andK + p interactions at 250 GeV/c. Z. Phys. C - Particles and Fields 59, 405–426 (1993). https://doi.org/10.1007/BF01498621

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