Abstract

We calculate the ΔS = 1 penguin diagram by representing the internal quark lines in the loop by bag model wave functions. Because of the involved GIM mechanism we keep only the lowest internal quark modes in the loop, that is with quark momenta of order m c and lower. Our result dependes crucially on the values of the strong coupling constant and on the quark energy of the bag model wavefunctions. With reasonable values of parameters, we find contributions corresponding to effective penguin coefficients ∼ 2−5 times the standard perturbative ones. Thus the theoretical value for the ratio between ΔI = 1 2 and ΔI = 3 2 amplitudes seems to be improved.

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