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Experimental Determination of the Antineutrino Spectrum of the Fission Products of $^{238}$U

An experiment was performed at the scientific neutron source FRM II in Garching to determine the cumulative antineutrino spectrum of the fission products of $^{238}$U. This was achieved by irradiating target foils of natural uranium with a thermal and a fast neutron beam and recording the emitted $β$-spectra with a gamma-suppressing electron-telescope. The obtained $β$-spectrum of the fission products of $^{235}$U was normalized to the data of the magnetic spectrometer BILL of $^{235}$U. This method strongly reduces systematic errors in the $^{238}$U measurement. The $β$-spectrum of $^{238}$U was converted into the corresponding antineutrino spectrum. The final $\barν_e$-spectrum is given in 250 keV bins in the range from 2.875 MeV to 7.625 MeV with an energy-dependent error of 3.5 % at 3 MeV, 7.6 % at 6 MeV and $\gtrsim$ 14 % at energies $\gtrsim$ 7 MeV (68 % confidence level). Furthermore, an energy-independent uncertainty of $\sim$ 3.3 % due to the absolute normalization is added. Compared to the generally used summation calculations, the obtained spectrum reveals a slight spectral distortion of $\sim$ 10 % but returns the same value for the mean cross section per fission for the inverse beta decay.