The stellar nucleosynthesis of elements heavier than iron can primarily be attributed to neutron capture reactions in the s and r process. While the s process is considered to be well understood with regards to the stellar sites, phases and conditions where it occurs, nucleosynthesis networks still need accurate neutron capture cross sections with low uncertainties as input parameters. Their quantitative outputs for the isotopic abundances produced in the s process, coupled with the observable solar abundances, can be used to indirectly infer the expected r process abundances. The two stable gallium isotopes, 69Ga and 71Ga, have been shown in sensitivity studies to have considerable impact on the weak s process in massive stars. The available experimental data, mostly derived from neutron activation measurements for quasi-stellar neutron spectra at kBT = 25 keV, show disagreements up to a factor of three. Determining the differential neutron capture cross section can provide input data for the whole range of astrophysically relevant energies. To that end, a neutron time of flight experimental campaign at the n_TOF facility at CERN was performed for three months, using isotopically enriched samples of both isotopes. The data taken at the EAR1 experimental area covered a wide neutron energy range from thermal to several hundred keV. The respective differential and spectrum averaged neutron capture cross sections for 69Ga and 71Ga were determined in this thesis. They show good agreement with the evaluated cross sections for 71Ga, but reproduce the deviations from the evaluated data that other, more recent activation measurements showed for 69Ga.

The neutron activation technique is a well established method to measure neutron capture cross sections relevant for the s-process. The 7Li(p,n) reaction at Ep = 1912 keV is often used as a neutron source since the energy distribution of the emitted neutrons closely resembles a Maxwell-Boltzmann spectrum of kBT = 25 keV, mimicking the 22Ne(α,n) phase in TP-AGB stars. The weak s-process, which takes place in massive stars, can reach energies up to kBT = 90 keV. Neutron spectra corresponding to a Maxwell-Boltzmann distribution with kBT > 25 keV cannot be produced by the 7Li(p,n) reaction directly. We developed a method to obtain quasi-Maxwellian neutron capture cross sections over a wide energy range by combining a set of spectrum average cross sections measured at six different proton energies and distances between the lithium target and the sample. The measured spectrum averaged cross section can be used to calculate the Maxwellian-Averaged cross-section (MACS) from kBT = 25 keV to kBT = 90 keV. Over the last two years neutron capture cross sections on over 20 isotopes have been measured at Goethe University Frankfurt using this methodology. An overview of the current experimental method, challenges during data analysis and the first results are presented.