Abstract

The moments of the joint-decay angular distribution in the reactions π + p → ρ 0Δ ++, π + p → ωΔ ++ and KN → K ∗Δ should satisfy certain inequalities implied by the positivity of the joint-density matrix. Using published data on these reactions, at various values of energy and momentum transfer, we find that, of fifty-eight data points, in only one case are the conditions satisfied by the central experimental values. In addition, in some experiments the reconstructed joint-decay angular distribution is found to be not strictly positive. A quantitative measure of the positivity violation is presented, which suggests that modest changes in the experimental results, of the size of the error estimates, would yield moments consistent with positivity.

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