Weak Interactions (Second section) Chapter 9: Decays of Neutral K Mesons

Direct CP-violation as a test of quantum mechanics

“…the two phenomenological quantities ε and ε signal CP and CP T -violating effects that occur directly in the decay amplitudes and are used to parametrize the following constant amplitude ratios [16][17][18] …”

“…Nevertheless, one usually takes the approximation of neglecting the lepton mass; [16] in this case, one can show that O is constant so that a state |K can be defined and the corresponding probabilities | K|K | 2 can be related to measurable quantities, as explained before. However, this approximation is not necessary if one assumes, as we will do, the validity of the socalled ∆S = ∆Q rule; [16,17] in this case only K 0 and not K 0 can decay into + π − ν. This allows us to associate to the final state + π − ν the constant projector…”

“…The complex parameter ε characterizes direct CP -violation in the neutral kaon system and is predicted to be non-zero by the Standard Model. [16][17][18] Indeed, as discussed below, inequalities of Clauser-Horne type [19,20] can be derived for hidden-variable theories that reproduce neutral kaon's phenomenology and comply with the hypothesis of stochastic independence of neutral kaon decays. Then, a specific Bell's inequality is showed to be violated if ε is measured to be non-zero.…”

Test of detailed balance in the reaction ¹⁶O(d, α)¹⁴N and its inverse

“…Lee and Wolfenstein (1965) and Lee and Wu (1966a) instance, the super-weak interaction postulated by Wolfenstein (1964) has recently been shown to be invalidated by measurements of the relative decay rates of the ~ meson into neutral and charged pions (Gaillard, et al, 1967).…”

Entanglement, Bell Inequalities and Decoherence in Particle Physics

“…This is certainly not the case for other meson systems, like the B 0B0 , D 0D0 and B 0 sB 0 s systems (see below). Inserting now the quantum mechanical expectation value (58) into inequality (54) we arrive at Ghirardi, Grassi and Weber's result [56] …”