Unconditional tests of fundamental discrete symmetries CP, T, CPT in rigorous quantum dynamics beyond the approximate Lee-Oehme-Yang theory

Khalfin, L. A.

doi:10.1007/bf02551500

Cited by 16 publications

(19 citation statements)

References 16 publications

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“…(2.15, 2.18). Within this general WWA one gets [9,10,13] f . Thus, the two "like" states are produced in a proportion which is independent of t ′ and t, quite generally, within the WWA.…”

Section: Purely Quantum-mechanical Resultsmentioning

confidence: 99%

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Two-particle correlations and meson-antimeson mixing effects

Dass

Grimus

2000

Phys. Rev. D

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We discuss 2-particle correlations which arise in the time evolution of C-odd and C-even meson-antimeson states of flavored neutral mesons. In order to keep our discussion general, we do not use the Weisskopf-Wigner approximation. Possible deviations from quantum-mechanical coherence effects are parametrized by a socalled decoherence parameter . In particular, we study the dependence of the asymmetry of unlike and like-flavored events which was recently observed experimentally in the K 0 K 0 system. In this dependence, we point out some important general features which do not rely on the Weisskopf-Wigner approximation. Some other related results are derived more generally than in the literature.

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“…(2.15, 2.18). Within this general WWA one gets [9,10,13] f . Thus, the two "like" states are produced in a proportion which is independent of t ′ and t, quite generally, within the WWA.…”

Section: Purely Quantum-mechanical Resultsmentioning

confidence: 99%

“…Starting from the states |f and |f initially, i.e., at proper time t = 0, the time evolution is given by [9,10]…”

Section: The Formalismmentioning

confidence: 99%

Two-particle correlations and meson-antimeson mixing effects

Dass

Grimus

2000

Phys. Rev. D

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“…(3.2), as previously noted [23,24]; neither CPT invariance nor T invariance has been assumed. Using CPT invariance and the LVR property, the C-even case (ǫ = +1) also gives the result (5.8).…”

Section: Decays Of Singlementioning

confidence: 88%

Tests of CPT invariance for neutral flavored meson-antimeson mixing

Dass

Grimus

2002

Eur. Phys. J. C

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We focus on two aspects of CPT invariance in neutral-meson-antimeson (M 0M 0 ) mixing: 1. Tests of CPT invariance, using only the property of "lack of vacuum regeneration", which occurs as a part of the well-known LeeOehme-Yang (LOY) theory; 2. Methods for extracting the CPT-violating mixing parameter θ through explicit calculations by using the LOY-type theory fully. In the latter context, we demonstrate the importance of the C-even |M 0M 0 state. In particular, by measuring the time dependence of oppositesign dilepton events arising from decays of the C-even and C-odd |M 0M 0 states, θ may be disentangled from the parameters λ + andλ − characterizing violations of the ∆F = ∆Q rule. Furthermore, these two parameters may also be determined. The same is true if one uses like-sign dilepton events arising from only the C-even |M 0M 0 state.

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“…Note that this last relation as well as property (18) are valid for any two states |ψ 1 , |ψ 2 ∈ H. The Kalfin's Theorem concerns one of the basic properties of any two state subsystem and, in fact, it is not limited to only such subsystems as the neutral meson complexes. This Theorem states that [11][12][13][14][15][16][17][18],…”

Section: Khalfin's Theoremmentioning

confidence: 99%

“…In this Section we will discuss some results of numerical calculations performed within the use of the Mathematica program for the model considered by Khalfin in [11,12], and by Nowakowski in [16] and then used in [28,29]. This model is formulated using the spectral language for the description of K S , K L and K 0 , K 0 , by introducing a hermitian Hamiltonian, H, with a continuous spectrum of decay products labeled by α, β, etc.,…”

Section: Model Calculationsmentioning

confidence: 99%

Unitarity and real properties of the neutral meson complex

Urbanowski¹,

Jankiewicz²

2011

J. Phys. Stud.

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The proof of the Khalfin Theorem for the neutral meson complex is analyzed. It is shown that the unitarity of the time evolution operator for the total system under considerations assures that the Khalfin's Theorem holds. The consequences of this Theorem for the neutral mesons system are discussed: it is shown that diagonal matrix elements of the exact effective Hamiltonian for the neutral meson complex cannot be equal if CPT symmetry holds and CP symmetry is violated. The properties of time evolution governed by a time-independent effective Hamiltonian acting in the neutral mesons subspace of states are considered. Using the Khalfin's Theorem it is shown that if such Hamiltonian is time-independent then the evolution operator for the total a system containing the neutral meson complex cannot be a unitary operator. It is shown graphically for a given specific model how the Khalfin's Theorem works. It is also shown for this model how the difference of the mentioned diagonal matrix elements of the effective Hamiltonian varies in time.

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Unconditional tests of fundamental discrete symmetries CP, T, CPT in rigorous quantum dynamics beyond the approximate Lee-Oehme-Yang theory

Cited by 16 publications

References 16 publications

Two-particle correlations and meson-antimeson mixing effects

Two-particle correlations and meson-antimeson mixing effects

Tests of CPT invariance for neutral flavored meson-antimeson mixing

Unitarity and real properties of the neutral meson complex

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