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The results of the experiment to search for charged tachyon production by Π- mesons with the 4.5 GeV/c momenta in a liquid-hydrogen bubble chamber are presented. Analysis of the events chosen is carried out by the method of missing masses. A definite excess of events-candidates, which is difficultly explained by all known backgrounds, is observed. Nevetherless, as interpretation of these events is indefinite, the results obtained are considered as establishment of the upper limits to charged tachyon production cross sections. These limits are on the ∼10-4 level from the total cross section of Π-p interactions, that is considerably lower than the upper limits established up to now to probabilities of tachyon production in hadron reactions
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