The phenomenological structure of inclusive cross sections of the production of two neutral K-mesons in collisions of hadrons and nuclei is investigated taking into account the strangeness conservation in strong and electromagnetic interactions. The relations describing the dependence of the correlations of two short-lived and two long-lived neutral kaons KS0KS0, KL0KL0 and the correlations of “mixed” pairs KS0KL0 at small relative momenta upon the space-time parameters of the generation region of K0- and (anti)K0-mesons, which involve the contributions of Bose-statistics and S-wave strong final-state interaction, have been obtained. It is shown that under the strangeness conservation the correlation functions of the pairs KS0KS0 and KL0KL0, produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs KS0KS0 and KS0KL0 is conditioned by the production of the pairs of non-identical neutral kaons K0(anti)K0.
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We study the properties of time evolution of the K0- K0 system in spectral formulation. Within the one-pole model we find the exact form of the diagonal matrix elements of the effective Hamiltonian for this system. It appears that, contrary to the Lee-Oehme-Yang (LOY) result, these exact diagonal matrix elements are different if the total system is CPT-invariant but CP-noninvariant.
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