DT fusion through the $^5$He $3/2+$ "Bretscher state" accounts for $\ge 25\%$ of our existence via nucleosynthesis and for the possibility of fusion energy

Abstract

In big bang nucleosynthesis (BBN), the deuterium-tritium (DT) fusion reaction, D(T,n)$\alpha$, enhanced by the 3/2$^+$ resonance, is responsible for 99% of primordial $^4$He. This has been known for decades and has been well documented in the scientific literature. However, following the tradition adopted by authors of learned articles, it was stated in a matter-of-fact manner and not emphasized; for most people, it has remained unknown. This helium became a source for the subsequent creation of $\geq$25% of the carbon and other heavier elements and, thus, a substantial fraction of our human bodies. (To be more precise than $\geq$25% will require future simulation studies on stellar nucleosynthesis.) Also, without this resonance, controlled fusion energy would be beyond reach. For example, for inertial confinement fusion (ICF), laser energy delivery for the National Ignition Facility (NIF) would have to be approximately 70 times larger for ignition. Because the resonance enhances the DT fusion cross section a hundredfold, we propose that the 3/2$^+$ $^5$He excited state be referred to as the "Bretscher state" in honor of the Manhattan Project scientist who discovered it, in analogy with the well-known 7.6 MeV "Hoyle state" in $^{12}$C that allows for the resonant 3$\alpha$ formation.