Three-dimensional lattice ground states for Riesz and Lennard-Jones type energies

Laurent Bétermin, Ladislav Šamaj, Igor Travěnec

The Riesz potential $f_s(r)=r^{-s}$ is known to be an important building block of many interactions, including Lennard-Jones type potentials $f_{n,m}^{\rm{LJ}}(r):=a r^{-n}-b r^{-m…