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The event-by-event p_T-fluctuations in proton-proton and central Pb-Pbcollisions, which have been experimentally studied by means of the so-calledPhi-measure, are analyzed. The contribution due to the correlation whichcouples the average p_T to the event multiplicity is computed. The correlationappears to be far too weak to explain the preliminary experimental value of Phi(p_T) in p-p interactions. The significance of the result is discussed.Comment: 5 pages, 2 figures, minor improvement

physical review. c. nuclear physics/physical review. c, nuclear physics

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