Understanding $K/π$ ratio distribution in the mixed events

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The event mixing method is analyzed for the study of the event-by-event $K/π$ ratio distribution. It is shown that there exists some correlation between the kaon and pion multiplicities in the mixed events. The $K/π$ ratio distributions in the mixed events for different sets of real events are shown. The dependence of the distributions on the mean $K/π$ ratio, mean and variance of multiplicity distribution in the real events is investigated systematically. The effect of imperfect particle identification on the $K/π$ ratio distribution in the mixed event is also considered.
11 pages in revtex, 8 eps figures included

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