Multifractal structure of multiparticle production in branching models

Charles B. Chiu; Rudolph C. Hwa

doi:10.1103/PhysRevD.43.100

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Multifractal structure of multiparticle production in branching models

Charles B. Chiu

Rudolph C. Hwa

Center for Particle Theory and Department of Physics, University of Texas, Austin, Texas 78712

Institute of Theoretical Science and Department of Physics, University of Oregon, Eugene, Oregon 97403

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Phys. Rev. D 43, 100 – Published 1 January, 1991

DOI: https://doi.org/10.1103/PhysRevD.43.100

Abstract

A procedure is described for the multifractal analysis of data on multiparticle production obtained at high energy either in experiment or in Monte Carlo simulation. It is shown how the spectrum $f (α)$ of the rapidity-density index $α$ can be determined from the multiplicity fluctuation of the rapidity distribution, as the resolution is changed. The branching model is used to illustrate the procedure. It is found that the $φ^{3}$ model has a narrower $f (α)$ than the gluon model, suggesting that multifractality is a useful arena for confrontation between theory and experiment.

References (14)

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R. C. Hwa, Phys. Rev. D 41, 1456 (1990)
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G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987)
([5])
C. B. Chiu and R. C. Hwa, Phys. Lett. B 236, 466 (1990)
P. Lipa and B. Buschbeck, Phys. Lett. B 223, 465 (1988)
R. C. Hwa, in Review Volume on Quark-Gluon Plasma, edited by R. C. Hwa (Advanced Series on Directions in High Energy Physics, Vol. 6) (World Scientific, Singapore, 1990)
H. G. E. Hentschel and I. Procaccia, Physica 8D, 435 (1983)
I. M. Dremin, Mod. Phys. Lett. A 3, 1333 (1988) [3]
P. Carruthers, Int. J. Mod. Phys. A 4, 5587 (1989)
C. B. Chiu, K. Fialkowski, and R. C. Hwa, Mod. Phys. Lett. A (to be published)

[c1] W. Kittel and R. Peschanski, in Proceedings of the International Europhysics Conference on High Energy Physics, Madrid, Spain, 1989, edited by F. Barreiro and C. Lopez (North-Holland, Amsterdam, 1990) B. Buschbeck and P. Lipa, Mod. Phys. Lett. A 4, 1871 (1989)

[c2] A. Bialas and R. Peschanski, Nucl. Phys. B273, 703 (1986) ibid.B308, 857 (1988)

[c3] A. BialasR. PeschanskiMultiparticle Dynamics—Festschrift for Léon Van Hove, proceedings, La Thuile, Italy, 1989, edited by A. Giovannini and W. Kittel (World Scientific, Singapore, 1989)

[c4] R. C. Hwa, Phys. Rev. D 41, 1456 (1990)

[c5] T. C. Halsey et al., Phys. Rev. A 33, 1141 (1986) T. C. Halsey and M. H. Jensen, Physica 23D, 112 (1986)

[c6] G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987)

[c7] ([5])

[c8] C. B. Chiu and R. C. Hwa, Phys. Lett. B 236, 466 (1990)

[c9] P. Lipa and B. Buschbeck, Phys. Lett. B 223, 465 (1988)

[c10] R. C. Hwa, in Review Volume on Quark-Gluon Plasma, edited by R. C. Hwa (Advanced Series on Directions in High Energy Physics, Vol. 6) (World Scientific, Singapore, 1990)

[c11] H. G. E. Hentschel and I. Procaccia, Physica 8D, 435 (1983)

[c12] I. M. Dremin, Mod. Phys. Lett. A 3, 1333 (1988) [3]

[c13] P. Carruthers, Int. J. Mod. Phys. A 4, 5587 (1989)

[c14] C. B. Chiu, K. Fialkowski, and R. C. Hwa, Mod. Phys. Lett. A (to be published)

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Multifractal structure of multiparticle production in branching models

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