Abstract
Quantum entanglement between the two neutral mesons produced in meson factories has allowed the first indisputable direct observation of Time Reversal Violation in the time evolution of the neutral meson between the two decays. The exceptional meson transitions are directly connected to semileptonic and CP eigenstate decay channels. The possibility of extending the observable asymmetries to more decay channels confronts the problem of the “orthogonality condition”, which can be stated with this tongue-twister: Given a decay channel f, which is the decay channel f′ such that the meson state not decaying to f′ is orthogonal to the meson state not decaying to f? In this Letter we propose an alternative T-Violation asymmetry at meson factories which allows its opening to any pair of decay channels. Instead of searching which is the pair of decay channels associated to the T-reverse meson transition, we build an asymmetry which tags the initial states of both the Reference and the T-reverse meson transitions. This observable filters the appropriate final states by means of two measurable survival probabilities. We discuss the methodology to be followed in the analysis of the new observable and the results expected in specific examples.
Highlights
Quantum entanglement between the two neutral mesons produced in meson factories has allowed the first indisputable direct observation of Time Reversal Violation in the time evolution of the neutral meson between the two decays
The possibility of extending the observable asymmetries to more decay channels confronts the problem of the “orthogonality condition”, which can be stated with this tonguetwister: Given a decay channel f, which is the decay channel f such that the meson state not decaying to f is orthogonal to the meson state not decaying to f ? In this Letter we propose an alternative T -Violation asymmetry at meson factories which allows its opening to any pair of decay channels
The two quantum effects of entanglement between the two neutral mesons produced at a meson factory and the filtering measurement induced by the meson decay, have to be incorporated in the analysis for the preparation of initial and final meson states
Summary
Novel T -Violation observable open to any pair of decay channels at meson factories ✩. Instead of searching which is the pair of decay channels associated to the T -reverse meson transition, we build an asymmetry which tags the initial states of both the Reference and the T -reverse meson transitions This observable filters the appropriate final states by means of two measurable survival probabilities. For the same decay products ( +, J /ψ K S ) as reference, the B mesons states appearing in the first term of the asymmetry Eq (9) are B 0 → B+ so the T -reverse term B+ → B 0 corresponds to the observation of decay products ( J /ψ K S , +) plus the two total survival probabilities We emphasize that this observable becomes entirely measurable in a 1−− meson factory for any pair of decay channels f , g: one needs the probabilities (12) for the final decays and the two total survival probabilities.
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