Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-01-15
Phys.Rev.D64:056004,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, revtex. Two references and some comments added, version to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.64.056004
In the context of the entangled $B^0 \bar B^0$ state produced at the $\Upsilon(4S)$ resonance, we consider a modification of the usual quantum-mechanical time evolution with a dissipative term, which contains only one parameter denoted by $\lambda$ and respects complete positivity. In this way a decoherence effect is introduced in the time evolution of the 2-particle $B^0 \bar B^0$ state, which becomes stronger with increasing distance between the two particles. While our model of time evolution has decoherence for the 2-particle system, we assume that, after the decay of one of the two B mesons, the resulting 1-particle state obeys the purely quantum-mechanical time evolution. From the data on dilepton events we derive an upper bound on $\lambda$. We also show how $\lambda$ is related to the so-called ``decoherence parameter'' $\zeta$, which parameterizes decoherence in neutral flavoured meson--antimeson systems.
Bertlmann Reinhold A.
Grimus Walter
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