Observation of B(0) -> omega K(0), B(+) -> eta pi(+), and B(+) -> eta K(+) and study of related decays RID C-2728-2008 RID C-5223-2009 RID C-5719-2008 RID D-1055-2009 RID A-2675-2009

We present measurements of branching fractions and charge asymmetries for seven B-meson decays with an eta, eta('), or omega meson in the final state. The data sample corresponds to 89x10(6) B (B) over bar pairs produced from e(+)e(-) annihilation at the Y(4S) resonance. We measure the following branching fractions in units of 10(-6): B(B(+)-->etapi(+))=5.3+/-1.0+/-0.3, B(B(+)-->etaK(+))=3.4+/-0.8+/-0.2, B(B(0)-->etaK(0))=2.9+/-1.0+/-0.2 (<5.2, 90% C.L.), B(B(+)-->eta(')pi(+))=2.7+/-1.2+/-0.3 (<4.5, 90% C.L.), B(B(+)-->omegapi(+))=5.5+/-0.9+/-0.5, B(B(+)-->omegaK(+))=4.8+/-0.8+/-0.4, and B(B(0)-->omegaK(0))=5.9(-1.3)(+1.6)+/-0.5. The charge asymmetries are A(ch)(B(+)-->etapi(+))=-0.44+/-0.18+/-0.01, A(ch)(B(+)-->etaK(+))=-0.52+/-0.24+/-0.01, A(ch)(B(+)-->omegapi(+))=0.03+/-0.16+/-0.01, and A(ch)(B(+)-->omegaK(+))=-0.09+/-0.17+/-0.01.