Abstract
We present the first experimental results on self-similar nature of fluctuations of one and two-dimensional density distributions of medium energy particles in 800 GeV p-AgBr interactions. The density fluctuations as measured by 1−D q are found to be more in two dimensions as compared to those in one dimension, whereas the fluctuations decrease with increase in multiplicity. It has been found that the self-similar cascade model with multifractal properties describes well the observed fluctuations. The ratios of multifractal power law indices are found to be independent of the dimensionality of phase space and of multiplicity.
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Shivpuri, R.K., Dheer, S., Das, G. et al. Fractals in one and two dimensions of medium energy particles in 800 GeV p-AgBr interactions. Z. Phys. C - Particles and Fields 66, 403–407 (1995). https://doi.org/10.1007/BF01556366
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DOI: https://doi.org/10.1007/BF01556366