Potential model analysis of low energyH2(d,γ)4He fusion data

Previously experimental data on the ${}_{}{}^2{}_{}{}^{}\mathrm{H}$(d,γ${)\mathrm{}}^4$He reaction have been analyzed within a potential model of structureless particles to derive quantitative information about the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ ground state. We have tested the applicability of the potential model by comparing cross sections calculated for a wide range of Woods-Saxon parametrizations covering those of previous studies with recent low energy ${}_{}{}^2{}_{}{}^{}\mathrm{H}$(d,γ${)\mathrm{}}^4$He fusion data. We find that the results for the capture cross sections from the d+d S-wave into the D-state component of the ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ ground state, which dominate the fusion data at E≤200 keV, are very sensitive to the parametrization of the nucleus-nucleus potential. Hence simple potential model studies seem not to be an appropriate tool for quantitative analysis of low energy ${}_{}{}^2{}_{}{}^{}\mathrm{H}$(d, γ${)\mathrm{}}^4$He fusion data.