International Journal of Modern Physics A

BELL'S INEQUALITY IN CHARMONIUM DECAYS

Sergey P. Baranov

Published Jan 30, 2009• 5 citations

Abstract

This note addresses the issue of checking Bell's inequalities in elementary particle physics. A new expression for the Bell's inequality is proposed in terms of experimentally measurable angular observables. As an example, the degree of violation of the Bell's inequality in the decays [Formula: see text], [Formula: see text], and [Formula: see text] is studied.

DOI: 10.1142/s0217751x09043894

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International Journal of Modern Physics A

BELL'S INEQUALITY IN CHARMONIUM DECAYS

Sergey P. Baranov

Published Jan 30, 2009• 5 citations

Publisher

Abstract

DOI: 10.1142/s0217751x09043894

Related papers

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Journal of Physics G Nuclear and Particle PhysicsMay 14, 200829 citations

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This paper discusses the feasibility of testing Bell's inequality with the charmonium decays |

\eta _{\mathrm {c}} \rightarrow \Lambda \overline {\Lambda }

|⁠, |

\chi _{{\mathrm {c}}0} \rightarrow \Lambda \overline {\Lambda }

| and |

{\mathrm {J}}/\psi \rightarrow \Lambda \overline {\Lambda }

|⁠. We develop a new formulation of Bell's inequality represented with particles' orientations, which can be measured straightforwardly in experiment, and seek to ascertain if it is violated in these decay processes. It is shown that the ηc channel and the |

\chi _{c0}

| channel maximally violate Bell's inequality, while the |${\mathrm {J}}/\psi $| channel gives no inconsistency with it. Simulations dealing with experimental aspects are also implemented. The expected statistical fluctuations and achievable significance are estimated as a function of sample size.

This paper discusses the feasibility of testing Bell's inequality with the charmonium decays |

\eta _{\mathrm {c}} \rightarrow \Lambda \overline {\Lambda }

|⁠, |

\chi _{{\mathrm {c}}0} \rightarrow \Lambda \overline {\Lambda }

| and |

{\mathrm {J}}/\psi \rightarrow \Lambda \overline {\Lambda }

|⁠. We develop a new formulation of Bell's inequality represented with particles’ orientations, which can be measured straightforwardly in experiment, and seek to ascertain if it is violated in these decay processes. It is shown that the ηc channel and the |

\chi _{c0}