Dalitz Plot Structure in $D^0 \to π^+ π^- π^0$

Details Dalitz Plot Structure in $D^0 \to π^+ π^- π^0$ Dalitz Plot Structure in $D^0 \to π^+ π^- π^0$

2010-04-19

arxiv.org/abs/1004.3225v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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 $J^{PC} = 0^{--}$.

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