Abstract
The reactions ${}^{3}\mathrm{H}{(}^{3}\mathrm{H}{,2n)}^{4}\mathrm{He}$ and ${}^{3}\mathrm{He}{(}^{3}\mathrm{He}{,2p)}^{4}\mathrm{He}$ are investigated within a fully microscopic cluster model featuring a three-cluster exit channel. A hyperspherical harmonics basis is used to describe the three-cluster continuum. The resulting astrophysical S factor of both reactions is in good agreement with experimental data. Analysis of the low-energy scattering parameters reveals no evidence for a hidden resonance state that would increase the cross section of the reactions, and would help to resolve the solar neutrino problem.
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