Abstract
The decay of extremely neutron-deficient $^{45}\mathrm{Fe}$ has been studied in detail by means of a novel type of a gaseous detector employing digital imaging to record tracks of charged particles. The two-proton radioactivity channel was clearly identified. For the first time, the angular and energy correlations between two protons emitted from the nuclear ground state were determined, indicating the genuine three-body character of this decay. The half-life of $^{45}\mathrm{Fe}$ was found to be $2.6\ifmmode\pm\else\textpm\fi{}0.2\text{ }\text{ }\mathrm{ms}$ and the observed $2p$ decay branching ratio is $70\ifmmode\pm\else\textpm\fi{}4%$.
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