Massless higher spin D=4 superparticle with both N=1 supersymmetry and its bosonic counterpart

We show that the massless higher spin four-dimensional particle model with bosonic counterpart of N=1 supersymmetry respects SU(3,2) invariance. We extend this particle model to a superparticle possessing SU(3,2|1) supersymmetry which is a closure of standard four-dimensional N=1 superconformal symmetry SU(2,2|1) and its bosonic SU(3,2) counterpart. The new massless higher spin D=4 superparticle model describes trajectories in Minkowski superspace (xμ,θα,θ¯α˙) extended by the commuting Weyl spinor ζα, ζ¯α˙=(ζα)*. We find the relevant phase space constraints and quantize the model. As a result of quantization we obtain the superwave function which encompasses an infinite sequence of massless chiral higher spin superfield strengths. The requirement of superconformal SU(3,2|1) covariance gives rise to a simple set of superfield equations of motion for the superwave function.