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We study $D_{q}$ to $K_1(1270)$ and $K_1(1400)$ transition form factors by separating the mixture of the $K_1(1270)$ and $K_1(1400)$ states. Using the transition form factors of the $D\\to K_1 $, we analyze the nonleptonic $D\\to K_1 \\pi$ decay. We also present the decay amplitude and decay width of these decays in terms of the transition form factors. 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Azizi, N. Ghahramany, R. Khosravi","submitted_at":"2008-12-07T14:46:47Z","abstract_excerpt":"We analyze the semileptonic $D_{q}\\to K_1 \\ell\\nu$ transition with $q=u, d, s$, in the framework of the three--point QCD sum rules and the nonleptonic $D\\to K_1 \\pi$ decay within the QCD factorization approach. We study $D_{q}$ to $K_1(1270)$ and $K_1(1400)$ transition form factors by separating the mixture of the $K_1(1270)$ and $K_1(1400)$ states. Using the transition form factors of the $D\\to K_1 $, we analyze the nonleptonic $D\\to K_1 \\pi$ decay. We also present the decay amplitude and decay width of these decays in terms of the transition form factors. 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