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CP, T and CPT Invariance in Neutral Kaon Decays
Author(s) -
Dass G. V.
Publication year - 1972
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19720200202
Subject(s) - physics , amplitude , invariant (physics) , cpt symmetry , invariant mass , particle physics , cp violation , mathematical physics , quantum mechanics , lorentz covariance , lorentz transformation
A brief survey of the phenomenology (with emphasis on its present status) of CP, T and CPT invariance in neutral kaon decays is given. Existing limits on the invariances of the mass matrix of the K 0 −K̄ 0 system are stated. Also included are our new results and also those of D ASS and K ABIR for limits on these invariances for the decay amplitudes, obtained by using existing data, and the available information on the total mass matrix. The CPT invariant part of amplitudes for decay to the I = 0 and I = 2, ππ channels is T (and CP ) invariant, in the Eberhard phase convention, to about 0.4% and about 4% respectively; the corresponding T invariant part of these amplitudes is CPT (and CP ) invariant to about 1% and about 5% respectively. A limit similar to this last one (5%) was already obtained in the literature by making a further approximation. The CP, T and CPT invariant part of the averaged ΔS = − ΔQ amplitude in K 13 decay is found to be less than about 5% of the corresponding ΔS = ΔQ amplitude; the T invariant part of the difference of the averaged ΔS = ΔQ and the averaged ΔS = − ΔQ amplitudes is CPT (and CP ) invariant to about 1%. A limit similar to this one (1%) was also obtained in the literature by making a further assumption about the mass matrix. These amplitude limits are expected to have about one significant figure accuracy. Due to large experimental errors, the amplitude limits on the other non‐invariance parameters for the above channels are not very good. Difficulties in deriving corresponding parameters for the 3π channel are noted. In certain respects, CPT invariance has been verified experimentally to a poorer accuracy than CP invariance and T invariance.