Abstract

An experiment to measure the $\ensuremath{\beta}$-energy spectrum of tritium implanted at high energy into a Si(Li) x-ray detector has been carried out primarily with the aim of determining the mass of the electron antineutrino, but also the extrapolated end-point energy of the $\ensuremath{\beta}$ spectrum. The measurement implies a mass 65 eV with 95% confidence and a best value of 20 eV which is however only 0.2 standard deviations from zero mass. The end-point energy is 18 567\ifmmode\pm\else\textpm\fi{}5 eV. A discussion of atomic effects which are important for calculating the $^{3}\mathrm{H}$-$^{3}\mathrm{He}$ atomic-mass difference from the end-point energy is presented, as well as a discussion on the possibility of improving the limit on the antineutrino mass in the present type of experiment.

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