Classifying minimum energy states for interacting particles: Regular simplices

Cameron Davies, Tongseok Lim, Robert J. McCann

Densities of particles on $\Rn$ which interact pairwise through an attractive-repulsive power-law potential $W_{\al,\bt}(x) = |x|^\al/\al-|x|^\bt/\bt$ have often been used to expla…