Final-State Phases in $B\to D\pi ,D^{\ast }\pi$, and $D\rho$ Decays

Abstract

The final-state phases in $\bar{B}\to D\pi ,D^{\ast }\pi$, and $D\rho$ decays appear to follow a pattern similar to those in $D\to \bar{K}\pi$, ${\bar{K}}^{\ast }\pi$, and $\bar{K}\rho$ decays. Each set of processes is characterized by three charge states but only two independent amplitudes, so the amplitudes form triangles in the complex plane. For the first two sets the triangles appear to have non-zero area, while for the $D\rho$ or $\bar{K}\rho$ decays the areas of the triangles are consistent with zero. Following an earlier discussion of this behavior for $D$ decays, a similar analysis is performed for B decays, and the relative phases and magnitudes of contributing amplitudes are determined. The significance of recent results on $\ob \to D^{(*)0} \bar{K}^{(*)0}$ is noted. Open theoretical and experimental questions are indicated.

16 pages, LaTeX, 3 figures, to be submitted to Phys. Rev. D. References added; comments on new experimental results and analysis

References in corpus (6)

• Hadronic D Decays Involving Scalar Mesons
• Comments on Color-Suppressed Hadronic B Decays
• Observation of Ds+ K- and evidence for Ds+ pi- final states in neutral B decays
• Two-Body Cabibbo-Suppressed Charmed Meson Decays
• Study of $\overline{B^0}\to D^{(\ast )0}{\pi }^{+}{\pi }^{-}$ Decays
• Measurement of B(B- to D0 pi-) and B(barB0 to D+ pi-) and Isospin Analysis of B to D pi Decays

Cited by in corpus (26)

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• Two-Body Charmless B Decays Involving eta and eta'
• Measurement of Time-Dependent CP-Violating Asymmetries and Constraints on sin(2 beta+gamma) with Partial Reconstruction of B->D*-+pi+- Decays
• Measurements of the Branching fractions for $B_{(}s)->D_{(}s)\pi \pi \pi$ and ${\Lambda }_b^0->{\Lambda }_c^{+}\pi \pi \pi$
• Using untagged B^0 -> D K_S to determine gamma
• Two topics for a discussion on the $b\bar{s}$ and $b\bar{q}$ systems
• Measurement of Branching Fractions of Color-Suppressed Decays of the B0bar Meson to D(*)0 pi0, D(*)0 eta, D(*)0 omega, and D0 eta_prime
• Virtual contributions from $D^{\ast }(2007{)}^0$ and $D^{\ast }(2010{)}^{\pm }$ in the $B\to D\pi h$ decays
• Revisiting rescattering contributions to ${\overline{B}}_{(s)}\to D_{(s)}^{(\ast )}M$ decays
• Update analysis of two-body charmed $B$ meson decays
• Improved Measurements of Color-Suppressed Decays B0bar -> D0 pi0, D0 eta, D0 omega, D*0 pi0, D*0 eta and D*0 omega
• Measurement of the Absolute Branching Fractions B to Dpi, D*pi, D**pi with a Missing Mass Method
• Charmless Two-body Baryonic B Decays
• Rescattering effects in B_{u,d,s}(bar) to D P, D(bar) P decays
• Strong phase shifts and color-suppressed tree amplitudes in B -> D K^(*) and B -> D pi, D rho decays
• Final-State Phases in $B\to$ Baryon-Antibaryon Decays
• Model independent analysis of a class of ${\bar{B}}_s^0$ decay modes
• Implications of Bbar to D0 h0 Decays on Bbar to D Kbar, Dbar Kbar Decays
• Heavy Quark Symmetry in Nonleptonic B-Decays to Excited Charmed Mesons
• Evidence for the Rare Decay B+ --> Ds+ pi0
• Extracting the unitarity angle gamma in Bs to D0 h0, D0bar h0 Decays
• Relating Final State Interactions in $B\to D\pi$ and $B\to DK$
• Measurement of the branching fraction and $CP$ asymmetry for $B\to {\bar{D}}^0\pi$ decays