New Measurements of Cabibbo-Suppressed Decays of D Mesons in CLEO-c

TL;DR

This paper reports new measurements of Cabibbo-suppressed D meson decays to multiple pions using CLEO-c data, providing branching fractions, isospin amplitude ratios, and phase shifts with improved precision.

Contribution

It presents the first observations and precise measurements of several rare D meson decay modes, along with isospin analysis and phase shift determination, advancing understanding of charm decay dynamics.

Findings

Branching fractions for previously unobserved decay modes measured.

Isospin amplitude ratio A(ΔI=3/2)/A(ΔI=1/2) determined as 0.420±0.014.

Strong phase shift delta_I measured as 86.4±3.4 degrees.

Abstract

Using 281 pb^-1 of data collected with the CLEO-c detector, we report on first observations and new measurements of Cabibbo-suppressed decays of D mesons to 2, 3, 4, and 5 pions. Branching fractions of previously unobserved modes are measured to be: B(D^0\to pi^+pi^-pi^0pi^0)=(9.9\pm0.6\pm0.7\pm0.2\pm0.1)x10^-3, B(D^0\to\pi^+\pi^+\pi^-\pi^-\pi^0)=(4.1\pm0.5\pm0.2\pm0.1\pm0.0)x10^-3, B(D^+\to\pi^+\pi^0\pi^0)=(4.8\pm0.3\pm0.3\pm0.2)x10^-3, B(D^+\to\pi^+\pi^+\pi^-\pi^0)=(11.6\pm0.4\pm0.6\pm0.4)x10^-3, B(D^0\to\eta\pi^0)=(0.62\pm0.14\pm0.05\pm0.01\pm0.01)x10^-3, and B(D^0\to\omega\pi^+\pi^-)=(1.7\pm0.5\pm0.2\pm0.0\pm0.0)x10^-3. The uncertainties are from statistics, experimental systematics, normalization and CP correlations (for D^0 modes only). Improvements in other multi-pion decay modes are also presented. The D-->pi pi rates allow us to extract the ratio of isospin amplitudes A(Delta I=3/2)/A(\Delta I=1/2)=0.420\pm0.014(stat)\pm0.016(syst) and the strong phase shift of delta_I=(86.4+-2.8+-3.3) degrees, which is quite large and now more precisely determined.