Supersymmetrization of the 3-Particle Elliptic Calogero Model

\(\mathcal{N}\) = 2 and \(\mathcal{N}\) = 4 supersymmetric generalizations of the 3-particle elliptic Calogero system are proposed. Supersymmetry generators of the system are found in which the center of mass sector is described by the supermultiplet \(({\mathbf{1}},\mathcal{N},\mathcal{N} - {\mathbf{1}})\), while the sector of relative coordinates is the supermultiplet \(({\mathbf{2}},\mathcal{N},\mathcal{N} - {\mathbf{2}})\). The \(\mathcal{N}\) = 2 model with three supermultiplets \(({\mathbf{1}},{\mathbf{2}},{\mathbf{1}})\) is also presented.