On the possible origin ofCP violation in neutral-kaon decay

Abstract

The author's research program on elementary-particle physics from general relativity is applied to explain the violation ofCP symmetry in KL0 decay. Because the theory implies that all reflection symmetries are rejected in the irreducible (two-component spinor) form of the matter field equations, it follows that all bosons, including the pions and kaons, must be composites of spinor components. It is concluded from the analysis that the generalized interactions must contain odd as well as even terms under (all) reflections, and one of these is responsible for the 3π decay and the other is responsible for the 2π decay. But the pions themselves are composites of protons and antiprotons and the π0 of the 3π decay is the antisymmetric state of the composite (p+p−) that binds with two other pseudoscalar composites in the original KL0. In the 2π decay, the (p+p−) pair is still present, but in terms of a symmetric composite, rather than in terms of the π0 (antisymmetric) form. The latter (symmetric) state of the particle pair was derived in earlier studies from an exact solution of the nonlinear coupled spinor field equations for the particle-antiparticle pair in which it was found to correspond to an «unobserved» state—thus accounting for the disappearance of the π0 component, looking like a 2π decay. The ratio of theCP-violating part to theCP-conserving part of the decay rate of the long-lived neutral kaon is calculated within the context of this field theory in a semi-phenomenological way, and found to yield the same order of magnitude, ∼10−3, as the ratio that was observed by Cronin and Fitch.