Abstract
This work presents the until now most precise measurement of the angular correlation coefficient $a$ between the momenta of the electron and the electron-antineutrino in free neutron decay. The coefficient $a$ is inferred from a detailed analysis of the integral proton recoil spectrum measured with the $a$SPECT setup, a MAC-E-Filter type spectrometer with $4\ensuremath{\pi}$ acceptance. The result can be used to determine the axial-vector coupling constant ${g}_{A}$ in the weak interaction and shows a tantalizing disagreement with recent measurements of ${g}_{A}$ via the $\ensuremath{\beta}$-decay asymmetry in neutron decay.
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