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Non-Orthogonality of Residues in the Wigner-Weisskopf Model for Neutral K Meson Decay

Eli Cohen·L. P. Horwitz
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Abstract

We review the application of the Wigner-Weisskopf model for the neutral K meson system in the resolvent formalism. The Wigner-Weisskopf model is not equivalent to the Lee-Oehme-Yang-Wu formulation (which provides an accurate representation of the data). The residues in the pole approximation in the Wigner-Weisskopf model are not orthogonal, leading to additional interference terms in the $K_S-K_L 2π$ channel. We show that these terms would be detectable experimentally in the decay pattern of the beam emitted from a regenerator if the Wigner-Weisskopf theory were correct. The consistency of the data with the Lee-Oehme-Yang-Wu formulation appears to rule out the applicability of the Wigner-Weisskopf theory to the problem of neutral K meson decay.

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Eli Cohen, L. P. Horwitz. 1998-11-12. Non-Orthogonality of Residues in the Wigner-Weisskopf Model for Neutral K Meson Decay. https://arxiv.org/abs/hep-th/9808030

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