Testing Bell inequality at experiments of high energy physics

HAO Xi-Qing; KE Hong-Wei; DING Yi-Bing; SHEN Peng-Nian; LI Xue-Qian

doi:10.1088/1674-1137/34/3/002

Chinese Physics C> 2010, Vol. 34> Issue(3) : 311-318 DOI: 10.1088/1674-1137/34/3/002

Testing Bell inequality at experiments of high energy physics

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Abstract：
Besides using the laser beam, it is very tempting to directly testify the Bell inequality at high energy experiments where the spin correlation is exactly what the original Bell inequality investigates. In this work, we follow the proposal raised in literature and use the successive decays J/ψ→γη_c→ΛΛ→pπ^－pπ⁺ to testify the Bell inequality. Our goal is twofold, namely, we first make a Monte-Carlo simulation of the processes based on the quantum field theory (QFT). Since the underlying theory is QFT, it implies that we pre-admit the validity of quantum picture. Even though the QFT is true, we need to find how big the database should be, so that we can clearly show deviations of the correlation from the Bell inequality determined by the local hidden variable theory. There have been some critiques on the proposed method, so in the second part, we suggest some improvements which may help to remedy the ambiguities indicated by the critiques. It may be realized at an updated facility of high energy physics, such as BES Ⅲ.

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HAO Xi-Qing, KE Hong-Wei, DING Yi-Bing, SHEN Peng-Nian and LI Xue-Qian. Testing Bell inequality at experiments of high energy physics[J]. Chinese Physics C, 2010, 34(3): 311-318. doi: 10.1088/1674-1137/34/3/002

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Received: 2009-04-07
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Testing Bell inequality at experiments of high energy physics

Corresponding author: HAO Xi-Qing,

Received Date: 2009-04-07

Accepted Date: 2009-04-10

Available Online: 2010-03-05

Abstract:

Besides using the laser beam, it is very tempting to directly testify the Bell inequality at high energy experiments where the spin correlation is exactly what the original Bell inequality investigates. In this work, we follow the proposal raised in literature and use the successive decays J/ψ→γη_c→ΛΛ→pπ^－pπ⁺ to testify the Bell inequality. Our goal is twofold, namely, we first make a Monte-Carlo simulation of the processes based on the quantum field theory (QFT). Since the underlying theory is QFT, it implies that we pre-admit the validity of quantum picture. Even though the QFT is true, we need to find how big the database should be, so that we can clearly show deviations of the correlation from the Bell inequality determined by the local hidden variable theory. There have been some critiques on the proposed method, so in the second part, we suggest some improvements which may help to remedy the ambiguities indicated by the critiques. It may be realized at an updated facility of high energy physics, such as BES Ⅲ.

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Testing Bell inequality at experiments of high energy physics

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