NUKLEONIKA 2006, 51(Suppl. 3):s69-s72

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 K_S⁰K_S⁰, K_L⁰K_L⁰ and the correlations of “mixed” pairs K_S⁰K_L⁰ 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 K_S⁰K_S⁰ and K_L⁰K_L⁰, produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs K_S⁰K_S⁰ and K_S⁰K_L⁰ is conditioned by the production of the pairs of non-identical neutral kaons K⁰(anti)K⁰.