Testing Bell's Inequality using Charmonium Decays
Abstract
This paper discusses the feasibility of testing Bell's inequality with the charmonium decays \eta_c -> \Lambda \Lambda, \chi_{c0} -> \Lambda\Lambda and J/\Psi -> \Lambda\Lambda. We develop a new formulation of the Bell's inequality represented with particles' momenta which can be measured definitely in experiment and seek if it violates in these decays. It is illustrated that the \eta_c channel and the \chi_{c0} channel maximally violate Bell's inequality, while the 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.
Keywords
Cite
@article{arxiv.1302.6438,
title = {Testing Bell's Inequality using Charmonium Decays},
author = {Shion Chen and Yuki Nakaguchi and Sachio Komamiya},
journal= {arXiv preprint arXiv:1302.6438},
year = {2016}
}
Comments
13 pages with 4 figures and 5 tables. accepted by PTEP (Progress of Theoretical and Experimental Physics)