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The total cross sections for interactions of K+ and 1r+ mesons with protons were measured. The following values were obtained: 21.3 ± 4.6 mb and 21 ± 4.3 mb for 4.75 ± 0.15 Bev/c and 3.7 ± 0.1 Bev/c K+ mesons, respectively; the corresponding values for 1r+ mesons of the same momenta were 33.3 ± 1.3mb and 30 ± 1.2mb. Data on the cross sections for inelastic collisions of K+ and 1r+ mesons with various nuclei have also been obtained.
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