The process e(+)e(-)-->pi(+)pi(-)pi(0)gamma has been studied at a center-of-mass energy near the Y(4S) resonance using a 89.3 fb(-1) data sample collected with the BABAR detector at the PEP-II collider. From the measured 3pi mass spectrum we have obtained the products of branching fractions for the omega and phi mesons, B(omega-->e(+)e(-))B(omega-->3pi)=(6.70+/-0.06+/-0.27)x10(-5) and B(phi-->e(+)e(-)) B(phi-->3pi)=(4.30+/-0.08+/-0.21)x10(-5) and evaluated the e(+)e(-)-->pi(+)pi(-)pi(0) cross section for the e(+)e(-) center-of-mass energy range 1.05 to 3.00 GeV. About 900 e(+)e(-)-->J/psigamma-->pi(+)pi(-)pi(0)gamma events have been selected and the branching fraction B(J/psi-->pi(+)pi(-)pi(0))=(2.18+/-0.19)% has been measured.
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