Relativistic Einstein-Podolsky-Rosen correlations for vector and tensor states

We calculate and investigate the relativistic correlation function for bipartite systems of spin-1/2 particles in vector states and spin-1 particles in tensor states. We show that the relativistic correlation function, which depends on particle momenta, may have local extrema. Furthermore, the momentum dependence of the correlation functions for two choices of the relativistic spin operator may be significantly different.