Cellular Approach to Long-Range $p_t$ and Multiplicity Correlations in the String Fusion Model

Details Cellular Approach to Long-Range $p_t$ and Multiplicity Correlations in the String Fusion Model Cellular Approach to Long-Range $p_t$ and Multiplicity Correlations in the String Fusion Model

2003-05-13

arxiv.org/abs/hep-ph/0305136v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, LaTeX, 7 figures in PostScript, Russian version will appear in the journal "Vestnik SPbU"

Scientific paper

The long-range $p_t$ and multiplicity($n$) correlations in high-energy nuclear collisions are studied in the framework of a simple cellular analog of the string fusion model. Two cases with local and global string fusion is considered. The $p_t$--$n$ and $n$--$n$ correlation functions and correlation coefficients are calculated analytically in some asymptotic cases using suggested Gauss approximation. It's shown that at large string density the $p_t$--$n$ and $n$--$n$ correlation coefficients are connected and the scaling takes place. The behavior of the correlations at small string density is also studied. The asymptotic results are compared with results of the numerical calculations in the framework of proposed cellular approach.

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