Convergence Rates from Yukawa to Coulomb Interaction in the Thomas-Fermi-von Weizs\"acker Model

We establish uniform convergence, with explicit rate, of the solution to the Thomas–Fermi–von Weizs"acker (TFW) Yukawa model to the solution of the TFW Coulomb model, for general condensed nuclear configurations. As a consequence, we show the convergence of forces from the Yukawa to the Coulomb model. These results rely on an extension of Nazar & Ortner (2015) to the Yukawa setting. Auxiliary results of independent interest shown also include new existence, uniqueness and stability results for the Yukawa ground state.