We present results of searches for $B$-meson decays to $K^{+}{\pi }^{-}{\pi }^{+}$ with the BABAR detector. With a data sample of $61.6\times {10}^6$ $B\overline{B}$ pairs, we measure the branching fractions and 90% confidence-level upper limits averaged over charge-conjugate states (the first error is statistical and the second is systematic): $\mathcal{B}[B^{+}\to K^{*0}(892){\pi }^{+}]=(15.5\pm {1.8}_{-4.0}^{+1.5})\times {10}^{-6}$, $\mathcal{B}[B^{+}\to f_0(980)K^{+},f_0\to {\pi }^{+}{\pi }^{-}]=(9.2\pm {1.2}_{-2.6}^{+2.1})\times {10}^{-6}$, $\mathcal{B}[B^{+}\to {\overline{D}}^0{\pi }^{+},{\overline{D}}^0\to K^{+}{\pi }^{-}]=(184.6\pm 3.2\pm 9.7)\times {10}^{-6}$, $\mathcal{B}[B^{+}\to {\rho }^0(770)K^{+}]<6.2\times {10}^{-6}$ and $\mathcal{B}[B^{+}\to K^{+}{\pi }^{-}{\pi }^{+}\mathrm{\text{nonresonant}}]<17\times {10}^{-6}$.

• Received 26 August 2003

DOI:https://doi.org/10.1103/PhysRevD.70.092001