Observation of B-0 -> omega K-0, B+ -> eta pi(+), and B+ -> eta K+ and study of related decays

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.