Abstract
We construct new multiparticle models of N=4 supersymmetric mechanics with spin degrees of freedom by employing nonlinear indecomposable supermultiplets (1,4,3)⊃+(4,4,0). These systems are proper deformations of those associated with the standard irreducible d=1, N=4 multiplets. In this way we find a deformation of N=4 supersymmetric U(2)-spin rational Calogero system invariant under d=1 superconformal group OSp(4|2). One more deformed model reproduces N=4 supersymmetric U(2)-spin hyperbolic Calogero system, up to a shift of the Hamiltonian by some U(1) generators. In Memory of Jerzy Lukierski (1936 – 2026)