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Quantum mechanics (QM) has been criticized for its violation of locality andreality since it was put forward. A series of hidden variable theories (HVTs)were evolved to ensure reality. In this paper, a new method to distinguish QMand HVTs is proposed. The angle between two decay planes is introduced as theobservable and the distribution of it under two conditions is deduced. Thefeasibility to test it on BESIII experiment is discussed.

A test of reality using quantum entanglement in J/{\psi} $\to$ {\Lambda}$\bar{\Lambda}$