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

Abstract

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.

10pages,latex

References in corpus (1)

• Analyses of $D^{+}\to K_S^0{K}^{+}$ and $D^{+}\to K_S^0{\pi }^{+}$

Cited by in corpus (13)

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• Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
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• Final State Interactions in $D^0\to K^0\overline{K^0}$
• Nonfactorizable contributions to the decay mode D^0 -> K^0 \bar{K^0}
• Coupled-Channel Final-State Interactions through Reggeon Exchange for D(B) --> ππ, K \bar{K}
• Final-state Rescattering Effects on B_d-->ππDecays and CP Violation
• Relating Final State Interactions in $B\to D\pi$ and $B\to DK$
• CP asymmetry and branching ratio of B -> pi pi