Branching ratio of the super-allowed $\beta$ decay of $^{10}$C

In an experiment performed at the ISOLDE facility of CERN, the super-allowed $\beta $-decay branching ratio of $^{10}$C was determined with a high-precision single-crystal germanium detector. In order to evaluate the contribution of the pile-up of two 511 keV $\gamma $ quanta to one of the $\gamma $-ray peaks of interest at 1021.7 keV, data were not only taken with $^{10}$C, but also with a $^{19}$Ne beam. The final result for the super-allowed decay branch is 1.4638(50)%, in agreement with the average from literature.