Emulsifier-free batch emulsion polymerization of n-butyl acrylate and its semi-batch copolymerization with 2,2,3,3,4,4,5,5-octafluoropentyl acrylate and 2,2,3,4,4,4-hexafluorobutyl acrylate both mediated by poly(acrylic acid) containing the trithiocarbonate group in the chain was employed to produce amphiphilic triblock copolymers. The polymerization-induced self-assembly of these copolymers in aqueous media gave rise to spherical core-shell particles. Irrespective of the experimental conditions, the polymeric product was characterized by a bimodal molecular weight distribution. The apparent violation of the reversible addition-fragmentation chain transfer polymerization mechanism may be attributed to restricted accessibility of the trithiocarbonate group in the self-assembled block copolymers for propagating radicals that enter into the particle. Mean-field theoretical arguments were employed to explain the exclusively spherical morphology of the particles observed in the experiment.