Testing Bell inequality at experiments of high energy physics

  • 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→γηc→ΛΛ→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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  • [1] . Einstein A, Podolski B, Rosen N. Phys. Rev., 1935, 47: 7772. Bohm D, Aharonov A. Phys. Rev., 1957, 108: 10703. Bell J S. Physics, 1964, 1: 1954. Trnqvist N A et al. Found. Phys., 1981, 11: 1715. Lamehi-Rachti M, Mitting W. Phys. Rev. D, 1976, 14:25436. Aspect A, Grangier P, Roger G. Phys. Rev. Lett., 1982, 49:91; Aspect A, Dalibard J, Roger G. Phys. Rev. Lett., 1982,49: 1804; Weihs G et al. Phys. Rev. Lett., 1998, 81: 5039;PAN Jian-Wei, Bouwmeester D, Daniell M, Weinfurter H,Zeilinger A. Nature, 2000, 403: 515; White A G, James DF V, Eberhard P H, Kwiat P G. Phys. Rev. Lett., 1999,83: 3103; YANG Tao, ZHANG Qiang, ZHANG Jun, YINJuan, ZHAO Zhi, Zukowski M, CHEN Zeng-Bing, PANJian-Wei. Phys. Lett., 2005, 95: 240406; Bouwmeester D,PAN J W, Daniell M,Weinfurter H, Zeilinger A. Phys. Rev.Lett., 1999, 82: 1345; ZHAO Zhi, CHEN Yu-Ao, ZHANGAn-Ning, YANG Tao, Briegel H J, PAN Jian-Wei. Nature,2004, 430: 547. CPLEAR collaboration. Phys. Lett. B, 1998, 422: 339;Tixier M H et al. (DM2 collaboration, LAL Orsay, LPC,Clermont, Padova, Frascati). Presentation at: Conferenceon Microphysical Reality and Quantum Formalism. Urbino,Italy, 19858. Baym G. Lectures on Quantum Mechanics. The Benjamin/Cummings Pub. Co. INC., 1969, London9. Bertlmann R A. Lect. Notes Phys., 2006, 689: 1; Schladming 2004, Quantum Coherence, 1-45; Lupo C, Man'ko VI, Marmo G. J. Phys. A, 2006, 39: 12515; DING Yi-Bing,LI Jun-Li, QIAO Cong-Feng. HEP NP, 2007, 31: 1097[hep-ph/0702271]10. Amsler C et al (Particle Data Group). Phys. Lett. B, 2008,667: 111. Abel S A, Dittmar M, Dreiner H K. Phys. Lett. B, 1992,280: 30412. Gerlach W, Stern O. Z. Phys., 1922, 9: 349; Gerlach W,Stern O. Z. Phys., 1922, 8: 11013. WANG Jin-Feng, WANG Yu-Ming, LI Xue-Qian. HEP NP, 2005, 29: 14
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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
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 shu
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Received: 2009-04-07
Revised: 2009-04-10
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Testing Bell inequality at experiments of high energy physics

    Corresponding author: HAO Xi-Qing,

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→γηc→ΛΛ→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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