Fractal Dimensions From A 3-dimensional Intermittency Analysis In E+e- Annihilation

Behrend, H. J.; Criegee, L.; Field, J. H.; Franke, G.; Jung, H.; Meyer, J.; Podobrin, O.; Schroder, 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.; Kohne, J. H.; Peters, J. H.; Spitzer, H.; Weihrich, T.; Apel, W. D.; Engler, J.; Flugge, G.; Fries, D. C.; Fuster, J.; Gamerdinger, K.; Grossewiesmann, P.; Kuster, H.; Muller, H.; Ranitzsch, K. H.; Schneider, H.; Deboer, W.; Buschhorn, G.; Grindhammer, G.; Gunderson, B.; Kiesling, C.; Kotthaus, R.; Kroha, H.; Luers, D.; Oberlack, H.; Schacht, P.; Scholz, S.; Wiedenmann, W.; Davier, M.; Grivaz, J. F.; Haissinski, J.; Journe, V.; Lediberder, F.; Veillet, J. J.; Blohm, K.; George, R.; Goldberg, M.; Hamon, O.; Kapusta, F.; Poggioli, L.; Rivoal, M.; Dagostini, G.; Ferrarotto, F.; Iacovacci, Michele; Shooshtari, G.; Stella, B.; Cozzika, G.; Ducros, Y.; Alexander, G.; Beck, A.; Bella, G.; Grunhaus, J.; Klatchko, A.; Levy, A.; Milstene, C.

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

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 pi-O 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.

Fractal Dimensions From A 3-dimensional Intermittency Analysis In E+e- Annihilation / H. J., Behrend; L., Criegee; J. H., Field; G., Franke; H., Jung; J., Meyer; O., Podobrin; V., Schroder; 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., Kohne; J. H., Peters; H., Spitzer; T., Weihrich; W. D., Apel; J., Engler; G., Flugge; D. C., Fries; J., Fuster; K., Gamerdinger; P., Grossewiesmann; H., Kuster; H., Muller; K. H., Ranitzsch; H., Schneider; W., Deboer; G., Buschhorn; G., Grindhammer; B., Gunderson; C., Kiesling; R., Kotthaus; H., Kroha; D., Luers; H., Oberlack; P., Schacht; S., Scholz; W., Wiedenmann; M., Davier; J. F., Grivaz; J., Haissinski; V., Journe; F., Lediberder; J. J., Veillet; K., Blohm; R., George; M., Goldberg; O., Hamon; F., Kapusta; L., Poggioli; M., Rivoal; G., Dagostini; F., Ferrarotto; Iacovacci, Michele; G., Shooshtari; B., Stella; G., Cozzika; Y., Ducros; G., Alexander; A., Beck; G., Bella; J., Grunhaus; A., Klatchko; A., Levy; C., Milstene. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 256:(1991), pp. 97-104. [10.1016/0370-2693(91)90225-F]