Field theory of the d +t→n+α reaction dominated by a 5 He * unstable particle
An effective, nonrelativistic quantum field theory for the $dt\ensuremath{\rightarrow}n\ensuremath{\alpha}$ fusion reaction in the low-energy, resonance region is presented. The theory assumes that the reaction is dominated by an intermediate ${}^{5}{\mathrm{He}}^{*}$ unstable spin-$3/{2}^{+}$ resonance. It involves two parameters in the coupling of the $dt$ and $n\ensuremath{\alpha}$ particles to the unstable resonant state and the resonance energy level\char22{}only three real parameters in all. All Coulomb corrections to this process are computed. The resultant field theory is exactly solvable and provides an excellent description of the $dt$ fusion process.