Abstract
We have studied the low-energy $^{2}\mathrm{H}$(d,\ensuremath{\gamma}${)\mathrm{}}^{4}$He reaction based on a microscopic description of the nuclear wave functions. Our study reproduces the experimental reaction cross sections at E\ensuremath{\le}3 MeV; it allows for an extrapolation of the data to energies relevant for big-bang nucleosynthesis resulting in a cross section about 35 times higher than given in present compilations. Our results indicate a D-state admixture in the $^{4}\mathrm{He}$ ground state of \ensuremath{\approxeq}5--7 %.
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