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Nonfactorizable contribution to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:msubsup><mml:mi>B</mml:mi><mml:mi>d</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo stretchy="true">¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>
The decay modes of the type $B \to \pi \, D $ are dynamically different. For the case $\bar{B_{d}^0} \to \pi^- D^{+} $ there is a substantial factorized contribution which dominates. In contrast, the decay mode $\bar{B_{d}^0} \to \pi^0 D^{0} $ has a small factorized contribution, being proportional to a …