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Within the class of field theories with the field contents of the Skyrmemodel, one submodel can be found which consists of the square of the baryoncurrent and a potential term only. For this submodel, a Bogomolny bound existsand the static soliton solutions saturate this bound. Further, already on theclassical level, this BPS Skyrme model reproduces some features of the liquiddrop model of nuclei. Here, we investigate the model in more detail and,besides, we perform the rigid rotor quantization of the simplest Skyrmion (thenucleon). In addition, we discuss indications that the viability of the modelas a low energy effective field theory for QCD is further improved in the limitof a large number of colors N_c.

A BPS Skyrme model and baryons at large Nc