Low-energy bound states, resonances, and scattering of light ions

We describe bound states, resonances, and elastic scattering of light ions using a delta-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems d + alpha, H-3 + alpha, He-3 + alpha, alpha + alpha, and p + O-16. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of F-17.