The effect of positron polarization on annihilation characteristics for ferromagnetic alloy samples, Fe_{64}Νi_{36}, Fe_{63}Νi_{37}, Fe_{25}Νi_{75} and Fe_{50}Νi_{50}, has been studied. It was observed that the global two-quantum annihilation rate depends on mutual orientation of positron beam direction and the sample magnetization. The observed changes of the rate are opposite to the ones which could be expected from the effect of mutual orientation of positron and electron spins on positron backscattering. They can be explained as a result of changing of the relation between 3γ- and 2γ-annihilation probabilities.
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