Spin correlations and consequences of quantum-mechanical coherence

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, LaTex

Scientific paper

10.1016/S0370-2693(01)00512-3

The difference in the properties of the spin correlation tensor for factorizable and nonfactorizable two-particle states is analyzed. The inequalities for linear combinations of the components of this tensor are obtained for the case of incoherent mixtures of factorizable two-particle spin states. They include the well known Bell inequalities and can be violated for coherent superpositions of two-particle spin states. The possibility to verify the consequences of the quantum-mechanical coherence is discussed using the angular correlations in the asymmetric (parity violating) decays of the pairs of spin-1/2 particles (muons, top-quarks or lambda-hyperons), the coherence arising either from the production dynamics or due to the effect of quantum statistics.

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