Three-body interference: Parametrization of the mixing states and time-reversal invariance

1972 ◽  
Vol 7 (3) ◽  
pp. 511-531 ◽  
Author(s):  
T. T. Gien
Keyword(s):  
Time Reversal ◽  
Time Reversal Invariance ◽  
Reversal Invariance ◽  
Three Body ◽  
Mixing States

Study of the Conditions Set by Unitarity and Time-Reversal Invariance in the ρ–ω Mixing with the Three-Body Mixing Formalism

1972 ◽  
Vol 50 (24) ◽  
pp. 3198-3205
Author(s):  
T. T. Gien
Keyword(s):  
Experimental Data ◽  
Vector Meson ◽  
Time Reversal ◽  
Relative Phase ◽  
Decay Rates ◽  
Time Reversal Invariance ◽  
Reversal Invariance ◽  
The Masses ◽  
Three Body ◽  
Mixing Problem

Using the three-body interference formalisms recently developed by us, we study the conditions imposed by time-reversal invariance and unitarity on the relative phase and strength of the ρ–ω mixing in the presence of vector meson [Formula: see text]. It is found that the effect of vector meson [Formula: see text] on these conditions when they are compared to those obtained with the usual two-body interference formalisms is very small. Even if the width of [Formula: see text] was ten times larger than the actual one, still this effect would be negligible. Thus, this detailed analysis confirms again the possibility of neglecting the effect of [Formula: see text] in the ρ–ω mixing problem. All the conclusions reached by us in this study are based purely on the experimental data alone and thereby, independent of the detailed dynamical assumptions on the decays of ρ, ω, and [Formula: see text]. We also wish to point out that an upper bound for the ρ–ω mixing strength in the 2π decay mode can be obtained from the knowledge of the masses and partial decay rates of channels other than 2π of ρ and ω.

scholarly journals DIRECT TEST OF TIME REVERSAL INVARIANCE VIOLATION IN B-MESONS

2008 ◽  
Vol 23 (25) ◽  
pp. 2085-2091 ◽  
Author(s):  
EZEQUIEL ÁLVAREZ ◽  
ALEJANDRO SZYNKMAN
Keyword(s):  
B Mesons ◽  
Time Reversal ◽  
B Meson ◽  
Experimental Information ◽  
Time Reversal Invariance ◽  
Cpt Invariance ◽  
Invariance Violation ◽  
Mean Lifetime ◽  
Reversal Invariance ◽  
Model Independent

In this letter we reinterpret and reanalyze the available data of the B-meson factories showing the existence of direct experimental evidence of time reversal invariance violation in B-mesons. This reinterpretation consists of using the available observables to define a new observable which, in a model-independent way and without assuming CPT invariance, compares a transition between a B0 and a here-defined Bα-state, with its time reversed transition. The observable then offers a direct way to probe time reversal invariance and it is therefore independent of any conclusion obtained from current experimental information on CP violation and CPT invariance. As far as we are concerned, this is the first direct evidence of time reversal invariance violation in B-mesons and also the first one obtained from decaying particles whose mean lifetime difference is negligible.

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