Abstract
The behavior of the forward-backward correlation functions and the corresponding correlation coefficients between multiplicities and transverse momenta of particles produced in high energy hadronic interactions is analyzed by analytical and MC calculations in the models with and without string fusion. The string fusion is taking into account in simplified form by introducing the lattice in the transverse plane. The results obtained with two alternative definitions of the forward-backward correlation coefficient are compared. It is shown that the nonlinearity of correlation functions increases with the width of observation windows, leading at small string density to a strong dependence of correlation coefficient value on the definition. The results of the modeling enable qualitatively to explain the experimentally observed features in the behavior of the correlation functions between multiplicities and mean transverse momenta at small and large multiplicities.
Highlights
The investigations of long range rapidity correlations give the information about the initial stage of high energy hadronic interactions [1]
Correlation functions and correlation coefficients between the observables in two separated rapidity intervals in ultrarelativistic heavy ion collisions are analyzed by analytical and MC calculations in a simple model which enables to take into account the string fusion effects
We have analyzed the behavior of the forward-backward correlation functions and the corresponding correlation coefficients between multiplicities and transverse momenta by analytical and MC calculations in the model with a string fusion on a transverse lattice
Summary
The investigations of long range rapidity correlations give the information about the initial stage of high energy hadronic interactions [1]. In paper [2] the study of the correlations between multiplicities in two separated rapidity windows (the long range forward-backward correlations) to find a signature of the string fusion and percolation phenomenon [3,4,5,6] in ultrarelativistic heavy ion collisions has been proposed Later it was realized [7,8,9,10,11,12] that the investigations of the forward-backward correlations involving intensive observables, such e.g. as the event-mean transverse momentum, enable to obtain more clear signal about the initial stage of hadronic interaction, including the process of string fusion, compared to usual forward-backward multiplicity correlations. Whereas the forward-backward correlation function itself is uniquely defined and carries more physical information than the correlation coefficients deduced from it
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