Diagonalization of the Particle Mixture Interaction

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Abstract
The diagonalization problem is discussed when there exists a particle mixture interaction. It is shown that the propagators can be diagonalized in such a way that the transformed one has a single pole. Then the connection with the renormalization is discussed. When the propagators have an unstable pole, the diagonalization matrix becomes complex and the asymptotic field corresponding to the stable particle pole cannot be constructed in Yang-Feldmann's sense. Our method is applied in calculating Λ→N+π decay.

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