Target and energy dependence of intermittency and multifractality in interactions at cosmic ray energies

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Abstract

We present here detailed results on intermittency and multifractality in interactions at cosmic ray energies. Intermittency has been investigated in terms of the scaled factorial moments for nucleon and AgBr targets. The intermittency signal has been found to be more for the nucleon as compared to AgBr targets. The primary energy dependence of intermittency has been studied for interactions with primary energies less than 1 TeV and greater than 1 TeV. With increase in primary energy, the intermittency signal decreases. The power-law behavior of the ${G}_{q}$ moments suggests a multifractal behavior. The spectrum $f({\ensuremath{\alpha}}_{q})$ of the rapidity density index ${\ensuremath{\alpha}}_{q}$ has been determined for nucleon and AgBr targets and also for different primary energies and its behavior shows self-similarity. No evidence for a phase transition is indicated. The rescaled spectrum $\overline{f}({\overline{\ensuremath{\alpha}}}_{q})$ for nucleon and AgBr targets and for different primary energies has been investigated. The distributions show the universality of the multifractal structure for $q>1$.

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