We report the results of a search for the bottomonium ground state
eta_b(1S) in the photon energy spectrum with a sample of (109 ± 1) million
of Upsilon(3S) recorded at the Upsilon(3S) energy with the BABAR detector
at the PEP-II B factory at SLAC. We observe a peak in the photon energy
spectrum at E_gamma = 921.2 +2.1 -2.8 (stat) ± 2.4(syst) MeV with a
significance of 10 standard deviations. We interpret the observed peak as
being due to monochromatic photons from the radiative transition
Upsilon(3S) -> gamma eta_b(1S). This photon energy corresponds to an
eta_b(1S) mass of 9388.9 +3.1 -2.3 (stat) ± 2.7(syst) MeV/c2.
The hyperfine Upsilon(1S)-eta_b(1S) mass splitting is
71.4 +2.3 -3.1 (stat) ± 2.7(syst) MeV/c2.
The branching fraction for this radiative Upsilon(3S) decay is estimated to be
(4.8 ± 0.5(stat) ± 1.2 (syst)) x 10^(-4).
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