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We analyze the premises of recent propositions to test local realism viaBell-inequalities using neutral kaons from $\Phi$-resonance decays as entangledEPR-pairs. We pay special attention to the derivation of Bell-inequalities, orrelated expressions, for unstable and oscillating kaon `quasi-spin' states andto the possibility of the actual identification of these states through theirassociated decay modes. We discuss an indirect method to extract probabilitiesto find these states by combining experimental information with theoreticalinput. However, we still find inconsistencies in previous derivations ofBell-inequalities. We show that the identification of the quasi-spin states viatheir associated decay mode does not allow the free choice to perform differenttests on them, a property which is crucial to establish the validity of anyBell-inequality in the context of local realism. In view of this we propose adifferent kind of Bell-inequality in which the free choice or adjustability ofthe experimental set-up is guaranteed. We also show that the proposedinequalities are violated by quantum mechanics.Comment: 22 pages. Late

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Bell inequalities for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>pairs from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Φ</mml:mi></mml:math>-resonance decays

Bell inequalities forK0K0pairs fromΦ-resonance decays