Measurement of exclusive D meson decays to η and η′ final states and SU(3) amplitude analysis

Using 281 pb(-1) of data collected with the CLEO-c detector, we present new measurements of Cabibbo-suppressed decays of D-0 and D+ mesons to eta and eta(') final states. We make first observations of D-0 ->eta(')pi(0), eta eta, eta eta('), and eta pi(+)pi(-), and find evidence for D+->eta pi(+)pi(0), D+->eta(')pi(+)pi(0), and D-0 ->eta(')pi(+)pi(-). We also report on improved measurements of D-0 ->eta pi(0), D+->eta pi(+), and D+->eta(')pi(+). Using the measured two-body Cabibbo-suppressed decays, we extract amplitudes for specific flavor topologies and compare them to those from Cabibbo-favored decays.