Abstract
Within a non-grassmannian approach, the (3+1)-dimensional model of a massless spinning particle with internal even degrees of freedom, described by the isospin vector, is constructed. It is shown that quantization of the model leads to the massless supermultiplet. The generalization of the model to the case of N-extended supersymmetry is carried out. The connection of the proposed model with the supertwistor model of superparticle is traced.
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