Radiative Neutron Capture on Carbon-14 and Electromagnetic Form Factors of Carbon-15

We calculate the cross section for radiative neutron capture on carbon-14 using halo effective field theory (EFT). The contributions from the resonant and non-resonant interaction is considered. Interference between these leads to a cross section that deviates from a simple Breit -Wigner resonance form. We compare our results with direct capture and coulomb dissociation data. Finally we calculate the electromagnetic form factors of carbon-15 analytically to next-to-leading order (NLO). This result is also applicable to other $s$-wave spin-$\frac{1}{2}$ halo nuclei such as the ground state of beryllium-11 where we estimate the two-body contribution to the magnetic form factor at NLO.