Fractal dimensions from a three-dimensional intermittency analysis in e+e- annihilation

H. J. Behrend; L. Criege; J. H. Field; G. Franke; H. Jung; J. Meyer; O. Podobrin; V. Schröder; G. G. Winter; P. J. Bussey; A. J. Campbell; D. Hendry; S. J. Lumsdon; I. O. Skillicorn; J. Ahme; V. Blobel; M. Feindt; H. Fenner; J. Harjes; J. H. Köhne; J. H. Peters; H. Spitzer; T. Weihrich; W. D. Apel; J. Engler; G. Flügge; D. C. Fries; J. Fuster; K. Gamerdinger; P. Grosse-Wiesmann; H. Küster; H. Müller; K. H. Ranitzsch; H. Schneider; W. de Boer; G. Buschhorn; G. Grindhammer; B. Gunderson; C. Kiesling; R. Kotthaus; H. Kroha; D. Lüers; H. Oberlack; P. Schacht; S. Scholz; W. Wiedenmann; M. Davier; J. F. Grivaz; J. Haissinski; V. Journé; F. Le Diberder; J. J. Veillet; K. Blohm; R. George; M. Goldberg; O. Hamon; F. Kapusta; L. Poggioli; M. Rivoal; G. d'Agostini; F. Ferrarotto; M. Iacovacci; G. Shooshtari; B. Stella; G. Cozzika; Y. Ducros; G. Alexander; A. Beck; G. Bella; J. Grunhaus; A. Klatchko; A. Levy; C. Milsténe

doi:10.1016/0370-2693(91)90225-F

Fractal dimensions from a three-dimensional intermittency analysis in e⁺e^- annihilation

H. J. Behrend^*, L. Criege, J. H. Field, G. Franke, H. Jung, J. Meyer, O. Podobrin, V. Schröder, G. G. Winter, P. J. Bussey, A. J. Campbell, D. Hendry, S. J. Lumsdon, I. O. Skillicorn, J. Ahme, V. Blobel, M. Feindt, H. Fenner, J. Harjes, J. H. KöhneJ. H. Peters, H. Spitzer, T. Weihrich, W. D. Apel, J. Engler, G. Flügge, D. C. Fries, J. Fuster, K. Gamerdinger, P. Grosse-Wiesmann, H. Küster, H. Müller, K. H. Ranitzsch, H. Schneider, W. de Boer, G. Buschhorn, G. Grindhammer, B. Gunderson, C. Kiesling, R. Kotthaus, H. Kroha, D. Lüers, H. Oberlack, P. Schacht, S. Scholz, W. Wiedenmann, M. Davier, J. F. Grivaz, J. Haissinski, V. Journé, F. Le Diberder, J. J. Veillet, K. Blohm, R. George, M. Goldberg, O. Hamon, F. Kapusta, L. Poggioli, M. Rivoal, G. d'Agostini, F. Ferrarotto, M. Iacovacci, G. Shooshtari, B. Stella, G. Cozzika, Y. Ducros, G. Alexander, A. Beck, G. Bella, J. Grunhaus, A. Klatchko, A. Levy, C. Milsténe

^*Corresponding author for this work

School of Physics and Astronomy

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Abstract

The intermittency structure of multihadronic e⁺e^- annihilation is analyzed by evaluating the factorial moments F₂-F₅ in three-dimensional Lorentz invariant phase space as a function of the resolution scale. We interpret our data in the language of fractal objects. It turns out that the fractal dimension depends on the resolution scale in a way that can be attributed to geometrical resolution effects and dynamical effects, such as the π⁰ Dalitz decay. The LUND 7.2 hadronization model provides an excellent description of the data. There is no indication of unexplained multiplicity fluctuations in small phase space regions.

Original language	English
Pages (from-to)	97-104
Number of pages	8
Journal	Physics Letters B
Volume	256
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(91)90225-F
State	Published - 28 Feb 1991

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Behrend, H. J., Criege, L., Field, J. H., Franke, G., Jung, H., Meyer, J., Podobrin, O., Schröder, V., Winter, G. G., Bussey, P. J., Campbell, A. J., Hendry, D., Lumsdon, S. J., Skillicorn, I. O., Ahme, J., Blobel, V., Feindt, M., Fenner, H., Harjes, J., ... Milsténe, C. (1991). Fractal dimensions from a three-dimensional intermittency analysis in e⁺e^- annihilation. Physics Letters B, 256(1), 97-104. https://doi.org/10.1016/0370-2693(91)90225-F

@article{769e82b8880d4b57b339ef0e51ad9c8d,

title = "Fractal dimensions from a three-dimensional intermittency analysis in e+e- annihilation",

abstract = "The intermittency structure of multihadronic e+e- annihilation is analyzed by evaluating the factorial moments F2-F5 in three-dimensional Lorentz invariant phase space as a function of the resolution scale. We interpret our data in the language of fractal objects. It turns out that the fractal dimension depends on the resolution scale in a way that can be attributed to geometrical resolution effects and dynamical effects, such as the π0 Dalitz decay. The LUND 7.2 hadronization model provides an excellent description of the data. There is no indication of unexplained multiplicity fluctuations in small phase space regions.",

author = "Behrend, {H. J.} and L. Criege and Field, {J. H.} and G. Franke and H. Jung and J. Meyer and O. Podobrin and V. Schr{\"o}der and Winter, {G. G.} and Bussey, {P. J.} and Campbell, {A. J.} and D. Hendry and Lumsdon, {S. J.} and Skillicorn, {I. O.} and J. Ahme and V. Blobel and M. Feindt and H. Fenner and J. Harjes and K{\"o}hne, {J. H.} and Peters, {J. H.} and H. Spitzer and T. Weihrich and Apel, {W. D.} and J. Engler and G. Fl{\"u}gge and Fries, {D. C.} and J. Fuster and K. Gamerdinger and P. Grosse-Wiesmann and H. K{\"u}ster and H. M{\"u}ller and Ranitzsch, {K. H.} and H. Schneider and {de Boer}, W. and G. Buschhorn and G. Grindhammer and B. Gunderson and C. Kiesling and R. Kotthaus and H. Kroha and D. L{\"u}ers and H. Oberlack and P. Schacht and S. Scholz and W. Wiedenmann and M. Davier and Grivaz, {J. F.} and J. Haissinski and V. Journ{\'e} and {Le Diberder}, F. and Veillet, {J. J.} and K. Blohm and R. George and M. Goldberg and O. Hamon and F. Kapusta and L. Poggioli and M. Rivoal and G. d'Agostini and F. Ferrarotto and M. Iacovacci and G. Shooshtari and B. Stella and G. Cozzika and Y. Ducros and G. Alexander and A. Beck and G. Bella and J. Grunhaus and A. Klatchko and A. Levy and C. Milst{\'e}ne",

note = "Funding Information: We gratefully acknowledge the outstanding efforts of the PETRA machine group which made possible these measurements. We are indebted to the DESY computer centre for their excellent support during the experiment. We acknowledge the invaluable effort of the many engineers and technicians from the collaborating institutions in the construction and maintenance of the apparatus. The visiting groups wish to thank the DESY directorate for the support and kind hospitality extended to them. This work was partly supported by the Bundesministerium fiir Forschung und Technologie (Germany), by the Commissariat l'Energie Atomique and the Institut National de Physique Nucl6aire et de Physique des Particules (France), by the Istituto Nazionale di Fisica Nucle-are (Italy), by the Science and Engineering Research Council (UK) and by the Ministry of Science and Development (Israel).",

year = "1991",

month = feb,

day = "28",

doi = "10.1016/0370-2693(91)90225-F",

language = "אנגלית",

volume = "256",

pages = "97--104",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier",

number = "1",

}

Behrend, HJ, Criege, L, Field, JH, Franke, G, Jung, H, Meyer, J, Podobrin, O, Schröder, V, Winter, GG, Bussey, PJ, Campbell, AJ, Hendry, D, Lumsdon, SJ, Skillicorn, IO, Ahme, J, Blobel, V, Feindt, M, Fenner, H, Harjes, J, Köhne, JH, Peters, JH, Spitzer, H, Weihrich, T, Apel, WD, Engler, J, Flügge, G, Fries, DC, Fuster, J, Gamerdinger, K, Grosse-Wiesmann, P, Küster, H, Müller, H, Ranitzsch, KH, Schneider, H, de Boer, W, Buschhorn, G, Grindhammer, G, Gunderson, B, Kiesling, C, Kotthaus, R, Kroha, H, Lüers, D, Oberlack, H, Schacht, P, Scholz, S, Wiedenmann, W, Davier, M, Grivaz, JF, Haissinski, J, Journé, V, Le Diberder, F, Veillet, JJ, Blohm, K, George, R, Goldberg, M, Hamon, O, Kapusta, F, Poggioli, L, Rivoal, M, d'Agostini, G, Ferrarotto, F, Iacovacci, M, Shooshtari, G, Stella, B, Cozzika, G, Ducros, Y, Alexander, G, Beck, A, Bella, G , Grunhaus, J, Klatchko, A, Levy, A & Milsténe, C 1991, 'Fractal dimensions from a three-dimensional intermittency analysis in e⁺e^- annihilation', Physics Letters B, vol. 256, no. 1, pp. 97-104. https://doi.org/10.1016/0370-2693(91)90225-F

TY - JOUR

T1 - Fractal dimensions from a three-dimensional intermittency analysis in e+e- annihilation

AU - Behrend, H. J.

AU - Criege, L.

AU - Field, J. H.

AU - Franke, G.

AU - Jung, H.

AU - Meyer, J.

AU - Podobrin, O.

AU - Schröder, V.

AU - Winter, G. G.

AU - Bussey, P. J.

AU - Campbell, A. J.

AU - Hendry, D.

AU - Lumsdon, S. J.

AU - Skillicorn, I. O.

AU - Ahme, J.

AU - Blobel, V.

AU - Feindt, M.

AU - Fenner, H.

AU - Harjes, J.

AU - Köhne, J. H.

AU - Peters, J. H.

AU - Spitzer, H.

AU - Weihrich, T.

AU - Apel, W. D.

AU - Engler, J.

AU - Flügge, G.

AU - Fries, D. C.

AU - Fuster, J.

AU - Gamerdinger, K.

AU - Grosse-Wiesmann, P.

AU - Küster, H.

AU - Müller, H.

AU - Ranitzsch, K. H.

AU - Schneider, H.

AU - de Boer, W.

AU - Buschhorn, G.

AU - Grindhammer, G.

AU - Gunderson, B.

AU - Kiesling, C.

AU - Kotthaus, R.

AU - Kroha, H.

AU - Lüers, D.

AU - Oberlack, H.

AU - Schacht, P.

AU - Scholz, S.

AU - Wiedenmann, W.

AU - Davier, M.

AU - Grivaz, J. F.

AU - Haissinski, J.

AU - Journé, V.

AU - Le Diberder, F.

AU - Veillet, J. J.

AU - Blohm, K.

AU - George, R.

AU - Goldberg, M.

AU - Hamon, O.

AU - Kapusta, F.

AU - Poggioli, L.

AU - Rivoal, M.

AU - d'Agostini, G.

AU - Ferrarotto, F.

AU - Iacovacci, M.

AU - Shooshtari, G.

AU - Stella, B.

AU - Cozzika, G.

AU - Ducros, Y.

AU - Alexander, G.

AU - Beck, A.

AU - Bella, G.

AU - Grunhaus, J.

AU - Klatchko, A.

AU - Levy, A.

AU - Milsténe, C.

N1 - Funding Information: We gratefully acknowledge the outstanding efforts of the PETRA machine group which made possible these measurements. We are indebted to the DESY computer centre for their excellent support during the experiment. We acknowledge the invaluable effort of the many engineers and technicians from the collaborating institutions in the construction and maintenance of the apparatus. The visiting groups wish to thank the DESY directorate for the support and kind hospitality extended to them. This work was partly supported by the Bundesministerium fiir Forschung und Technologie (Germany), by the Commissariat l'Energie Atomique and the Institut National de Physique Nucl6aire et de Physique des Particules (France), by the Istituto Nazionale di Fisica Nucle-are (Italy), by the Science and Engineering Research Council (UK) and by the Ministry of Science and Development (Israel).

PY - 1991/2/28

Y1 - 1991/2/28

N2 - The intermittency structure of multihadronic e+e- annihilation is analyzed by evaluating the factorial moments F2-F5 in three-dimensional Lorentz invariant phase space as a function of the resolution scale. We interpret our data in the language of fractal objects. It turns out that the fractal dimension depends on the resolution scale in a way that can be attributed to geometrical resolution effects and dynamical effects, such as the π0 Dalitz decay. The LUND 7.2 hadronization model provides an excellent description of the data. There is no indication of unexplained multiplicity fluctuations in small phase space regions.

AB - The intermittency structure of multihadronic e+e- annihilation is analyzed by evaluating the factorial moments F2-F5 in three-dimensional Lorentz invariant phase space as a function of the resolution scale. We interpret our data in the language of fractal objects. It turns out that the fractal dimension depends on the resolution scale in a way that can be attributed to geometrical resolution effects and dynamical effects, such as the π0 Dalitz decay. The LUND 7.2 hadronization model provides an excellent description of the data. There is no indication of unexplained multiplicity fluctuations in small phase space regions.

UR - http://www.scopus.com/inward/record.url?scp=0001833847&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(91)90225-F

DO - 10.1016/0370-2693(91)90225-F

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AN - SCOPUS:0001833847

SN - 0370-2693

VL - 256

SP - 97

EP - 104

JO - Physics Letters B

JF - Physics Letters B

IS - 1

ER -

Fractal dimensions from a three-dimensional intermittency analysis in e⁺e^- annihilation

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