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Quantum mechanics, Furry's hypothesis and a measure of decoherence in the K^0 \bar{K}^0 system

R. A. Bertlmann·W. Grimus·B. C. Hiesmayr
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Abstract

We consider strangeness correlations of the EPR type in K^0 \bar{K}^0 pairs created in a J^{PC} = 1^{--} state as a function of time under the hypothesis that spontaneous decoherence takes place. We parameterize the degree of decoherence by a factor (1-ζ) which multiplies the quantum-mechanical interference terms occurring in the amplitudes for like and unlike strangeness events and discuss the dependence of this procedure on the basis chosen in the K^0--\bar{K}^0 space to which the interference terms correspond. Consequently, all statements about the ``decoherence parameter'' ζinferred from experimental data are basis-dependent as well. We illustrate this point by estimating the value of ζfor the two bases {K_L, K_S} and {K^0, \bar{K}^0} with the help of recent data of the CPLEAR experiment.

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R. A. Bertlmann, W. Grimus, B. C. Hiesmayr. 1999-02-22. Quantum mechanics, Furry's hypothesis and a measure of decoherence in the K^0 \bar{K}^0 system. https://doi.org/10.1103/physrevd.60.114032

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