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Abstract

In this paper we adopt Peshkin's “maximum complexity method” for reactions 0 + 1/2 [RIGHTWARDS ARROW] j + s, γ + 0 [RIGHTWARDS ARROW] j + 0 with polarized initial particles. The produced particles undergo the decays s [RIGHTWARDS ARROW] 0 + 1/2, and j decays strongly into 0 + 0 + 0. Study of certain correlations in such processes allows to determine the spins of the produced particles. Because the spin of the X° (960) meson is not firmly established we apply the general results obtained to the reactions: K−p [RIGHTWARDS ARROW] X° Δ, πp [RIGHTWARDS ARROW] X°N, γHe [RIGHTWARDS ARROW] X°He.