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Analysis of the isoscalar S- and D-waves of processes pi-pi-> pi-pi, K-Kbar,eta-eta is carried out aimed at studying the status and QCD nature of scalarand tensor mesons below 2 GeV and 2.3 GeV, respectively. Assignment of thesemesons to lower scalar and tensor nonets is proposed.Comment: 22 pages, talk given at the International Conference "New Trends in  High Energy Physics", September 10 - 17, Yalta, Crimea, Ukrain

ON NATURE OF SCALAR AND TENSOR MESONS FROM THE ANALYSIS OF PROCESSES ππ → ππ, KK, ηη