Dalitz Plot Structure in $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$

Abstract

The BaBar Collaboration has pointed out that $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ is dominated by an isospin-zero final state, leading to nearly complete depletion of the Dalitz plot along all three diagonals. In flavor-SU(3) approaches to charmed particle decays to a light vector and a light pseudoscalar particle, this behavior is seen, but does not appear to have a fundamental origin. Instead, it arises as a result of approximate cancellation of higher-isospin combinations of several types of amplitudes: color-favored tree, color-suppressed tree, and exchange. Interpretation in terms of a direct-channel effect would require an exotic resonance, with spin, parity, and charge-congjugation eigenvalues $J^{PC}=0^{--}$.

9 pages, 5 figures, to be submitted to Phys. Rev. D. Corrected quoted isospin amplitudes.

References in corpus (3)

• Two-body hadronic charmed meson decays
• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• Isospin analysis of D0 decay to three pions

Cited by in corpus (11)

• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Contributions to the width difference in the neutral $D$ system from hadronic decays
• Theoretical study of the $D^0\to K^{-}{\pi }^{+}\eta$ reaction
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• Time-dependent CP asymmetries in D and B decays
• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions
• Relative phases in Dalitz plot amplitudes for $D^0\to K_S{\pi }^{+}{\pi }^{-}$ and $D^0\to {\pi }^0{K}^{+}{K}^{-}$
• Cross ratios between Dalitz plot amplitudes in three-body $D^0$ decays
• Bounding hadronic uncertainties in $c\to u$ decays
• Flavor-SU(3) tests from $D^0\to K^0{K}^{-}{\pi }^{+}$ and $D^0\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ Dalitz plots
• Test for exotic isoscalar resonance dominating $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays