Effective field theory in the harmonic oscillator basis

Abstract

We develop interactions from chiral eective eld theory (EFT) that are tailored to the harmonic oscillator basis. As a consequence, ultraviolet convergence with respect to the model space is implemented by construction and infrared convergence can be achieved by enlarging the model space for the kinetic energy. We derive useful analytical expressions for an exact and ecient calculation of matrix elements. By tting to realistic phase shifts and deuteron data we construct eective interactions from chiral EFT at NLO. Many-body calculations of nuclei up to 132Sn exhibit a fast convergence of ground-state energies and radii in feasible model spaces.