Coulomb effects in Helium-3

I will discuss Coulomb corrections to Helium-3 static properties in pionless effective field theory (EFT). These corrections are estimated to be $sim 4\%$, given by the ratio between the proton-proton Coulomb momentum scale, $alpha M_N/2 approx 3.5$~MeV, and the $^3$He binding momentum $approx 85$~MeV. Existing studies have used pionless EFT and the Faddeev equation to calculate the splitting between the triton and Helium-3 binding energies by including the Coulomb interactions both perturbatively and non-perturbatively. Here I will use a similar method to study the Coulomb corrections to Helium-3 form factors, such as its magnetic moment and radius. This calculation is also a precursor to the study of low-energy proton-deuteron radiative capture, which is important for understanding stellar and big bang nucleosynthesis.