On a possible EPR experiment with $B_d^0\overline{B_d^0}$ pairs

Abstract

A very general local realistic theory of single $B_d^0$ mesons and of correlated $B_d^0\overline{B_d^0}$ pairs is formulated. If these pairs are produced in the ${\rm Y}(4S)$ decay, the local realistic asymmetry for observing pairs with like and unlike flavour at different proper times remarkably differs from the quantum mechanical prediction. Asymmetric B-factories provide a powerful tool for the study of the EPR problem since the relative detection experiments are shown to be capable of a time-dependent measurement precise enough to discriminate between local realism and quantum theory.

18 pages, 3 figures

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