Abstract
We consider that most of the long-range forward-backward multiplicity (FB) correlations in high energy $A\text{\ensuremath{-}}A$ collisions are caused by the centrality fluctuation, and this phenomenon interferes with the measurement of the dynamical correlations greatly. We investigate the relationship between FB correlation strength and centrality by a Monte Carlo simulation and a derivation which are tested by A MultiPhases Transport (AMPT) model in Au+Au collisions at $\sqrt{{s}_{\mathrm{NN}}}=200$ GeV. We compare the FB correlation strengths of AMPT model with the results of the derivation at $\sqrt{{s}_{\mathrm{NN}}}$ $=$ $7.7$ to 200 GeV. A comparison between the default AMPT model and string melting AMPT model with different partonic scattering sections is made. As a result, we consider that the FB correlation strengths may be dominated by the mixing of different centrality events, and the short-range correlation may be overwhelmed for the most central collisions.
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