Non-spherical minimizers in the generalized liquid drop model for Yukawa and truncated Coulomb potentials

We investigate generalized liquid drop models with screened Riesz-type interactions, focusing in particular on truncated Coulomb and Yukawa potentials in three dimensions. While the classical Gamow model with Coulomb interaction is conjectured to admit only spherical minimizers below a critical mass and no minimizer above, we show that this conjecture fails if the interaction is screened. In the case of truncated Coulomb and Yukawa potentials, …