Abstract: In the first part of my talk, I present results for medium-mass nuclei 16O and 40Ca (and lattice nuclei computed at unphysical pion masses) using pionless effective field theory (EFT) at next-to-leading order (NLO). The EFT is implemented through a discrete variable representation of the harmonic oscillator basis in momentum space. This approach is designed to facilitate convergence of many-body calculations with respect to the size of the model space.
Next, I present the main ideas for a nucleon-nucleus EFT that is under development. The goal is to build a systematically improvable nucleon-nucleus interaction that can reproduce bound states and scattering data. We study the A+1 neighbor of an A-body doubly magic nucleus by attaching a neutron to an inert core with a structure. I present first preliminary results and discuss the next steps.