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Test of quantum nonlocality with branching ratios of $K_SK_S$ in vector meson decays

17 Aug 2021, 14:40
20m
Oral report 2. 强子物理与味物理 Parallel Session II:Hadron and Flavor Physics

Speaker

Peicheng Jiang (Peking Uniersity)

Description

In the quantum-entangled neutral kaons system, the two kaons can be described as wave functions. When one kaon collapses into the $K_S$ state, the other one collapses instantaneously into the $K_L$ state, showing the relation between entanglement and nonlocality. In this work, in order to test the instantaneous effect, we introduce the locality hypothesis assuming that decay information travels at the speed of light. Since there's a time window during which one kaon has no idea the other has decayed, some $K_SK_S$ decays may happen which are forbidden by quantum mechanics. We calculate the branching ratios of $K_SK_S$ in vector meson decays under locality hypothesis and compare them with experimental results. Taking $J/\psi$ as an example, the branching ratio of $J/\psi\rightarrow K_SK_S$ is $(5.5\pm0.9)\times10^{-6}$ under locality assumption, which is excluded by the BESIII experimental upper limit in 2017: $Br(J/\psi\rightarrow K_SK_S)<1.4\times10^{-8}$. More experimental results are expected to perform this test in the future.

Summary

To summarize, we have calculated the branching ratios of forbidden process $e^+e^-\rightarrow V\rightarrow K_SK_S$ under locality assumption and compared them with experimental upper limits. The result of $J/\psi$ validates the nonlocality of quantum theory. And the upper limit of $\psi(2S)$ is expected to be more sensitive to perform this test in the near future.

Primary author

Peicheng Jiang (Peking Uniersity)

Co-authors

Dayong Wang (Peking University) Xuan Wang (Peking University)

Presentation materials