Contribution from the Resonance K*(1950) to D0-> bar K0η , bar K0η ' Decays

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We have investigated the effect of the isospin 1/2, JP = 0+ resonant state K0* (1950) on the decays D0-> bar K0η and D0-> bar K0 η ' as a function of the branching ratio sum r = Br(K0* (1950)-> bar K0 η ) + Br(K0* (1950)-> bar K0 η ') and coupling constants g{K_0* bar K0 η }, g{K_0* bar K0 η '}. We have used a factorized input for D0-> K0* (1950) weak transition through a πK loop. We estimated both on- and off-shell contributions from the loop. Our calculation shows that the off-shell effects are significant. For r ≥ 30% a fit to the decay amplitude A(D0-> bar K0 η ') was possible, but the amplitude A(D0-> bar K0η ) remained at its factorized value. For small values of r, r ≤ 18%, we were able to fit A(D0-> bar K0 η ), and despite the fact that A(D0-> bar K{bar 0} η ') could be raised by almost 100% over its factorized value, it still falls short of its experimental value. A simultaneous fit to both amplitudes A(D0-> bar K0 η ') and A(D0-> bar K0 η ) was not possible.

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