# CPT transformation properties of the exact effective Hamiltonian for neutral kaon and similar complexes

Source: [CPT transformation properties of the exact effective Hamiltonian for neutral kaon and similar complexes](<https://www.sota2.com/research/paper/68fa1f287a2b558e293278b3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T17:21:45.772Z

Authors: K. Urbanowski

Published: 1998-03-18T18:06:18.000Z

## Abstract

CPT-symmetry properties of the exact effective Hamiltonian H(eff) governing the time evolution in the K(0), K(O)-bar (neutral K mesons) subspace implied by such properties of the total Hamiltonian of the system under consideration are examined. We show that H(eff) can commute with CPT - operator only if H does not commute with it. We also find that, in contradistinction to the standard result of the Lee-Oehme-Yang (LOY) theory, Re.\<K(0)\|H(eff)\|K(0)\> = Re.\<K(0)-bar\|H(eff)\|K(0)-bar\>, i.e., (\<K(0)\|H(eff)\|K(0)\> - \<K(0)-bar\|H(eff)\|K(0)-bar\>) = 0, only if the total system does not preserve CPT-symmetry. Using more accurate approximation than Weisskopf-Wigner approximation, an estimation of the difference (\<K(0)\|H(eff)\|K(0)\> - \<K(0)-bar\|H(eff)\|K(0)-bar\>) is found for CPT-invariant generalized Fridrichs-Lee model.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9803376>)

[PDF](<https://arxiv.org/pdf/hep-ph/9803376.pdf>)