Amplitude analysis of the decay B-+/-->pi(+/-)pi(+/-)pi(-/+); ; Physical review. D, Particles, fields, gravitation, and cosmology;

We present a Dalitz-plot analysis of charmless B+/- decays to the final state pi(+/-)pi(+/-)pi(-/+) using 210 fb(-1) of data recorded by the BABAR experiment at root s=10.58 GeV. We measure the branching fractions B(B+/-->pi(+/-)pi(+/-)pi(-/+))=(16.2 +/- 1.2 +/- 0.9)x10(-6) and B(B+/-->rho(0)(770)pi(+/-))=(8.8 +/- 1.0 +/- 0.6(-0.7)(+0.1))x10(-6). Measurements of branching fractions for the quasi-two-body decays B+/-->rho(0)(1450)pi(+/-), B+/--> f(0)(980)pi(+/-) and B+/--> f(2)(1270)pi(+/-) are also presented. We observe no charge asymmetries for the above modes, and there is no evidence for the decays B+/-->chi(c0)pi(+/-), B+/--> f(0)(1370)pi(+/-) and B+/-->sigma pi(+/-).