This paper is devoted to stability estimates for the interaction energy with radially symmetric potentials that are strictly decreasing in radial variable, such as Coulomb and Riesz potentials. For a general density function, we first prove estimate terms of $$L^1$$ asymmetry density, extending some previous results by Burchard–Chambers (Calc Var PDE 54(3):3241–3250, 2015; A result higher dimen...