Proton–proton scattering lengths from effective field theory

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the Coulomb corrections to proton–proton scattering. Including the dimension-eight derivative interaction in PDS regularization scheme, we obtain a modified Jackson-Blatt relation for the scattering lengths which is found to be phenomenologically satisfactory. The effective range is not modified by Coulomb effects to this order in the calculation.