Hadronic Phases and Isospin Amplitudes in $D(B) \to ππ$ and $D(B) \to K \bar K$ Decays

Details Hadronic Phases and Isospin Amplitudes in $D(B) \to ππ$ and $D(B) \to K \bar K$ Decays Hadronic Phases and Isospin Amplitudes in $D(B) \to ππ$ and $D(B) \to K \bar K$ Decays

1998-03-12

arxiv.org/abs/hep-ph/9803328v1

Phys.Lett. B436 (1998) 363-368

Physics

High Energy Physics

High Energy Physics - Phenomenology

10pages,latex

Scientific paper

10.1016/S0370-2693(98)00855-7

Hadronic phase in $\pi \pi$ and $K \bar K$ channels are calculated a la Regge. At the D mass one finds $\delta_{\pi \pi} \approx \pi/3$ and $\delta_{K \bar K} \approx -\pi/6$ in good agreement with the CLEO data while at the B mass these angles are predicted to be, respectively, $11^\circ$ and $-7^\circ$. With the hadronic phase $e^{i \delta_{K \bar K}}$ taken into account, a quark diagram decomposition of the isospin invariant amplitudes in $D \to K \bar K$ decays fits the data provided the exchange diagram contribution is about 1/3 of the tree level one.

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