  Within the set of generalized Skyrme models, we identify a submodel which has
both infinitely many symmetries and a Bogomolny bound which is saturated by
infinitely many exact soliton solutions. Concretely, the submodel consists of
the square of the baryon current and a potential term only. Further, already on
the classical level, this BPS Skyrme model reproduces some features of the
liquid drop model of nuclei. Here, we review the properties of the model and we
discuss the semiclassical quantization of the simplest Skyrmion (the nucleon).
