The parametrization of the polarization tensors for high-spin particles

For s = 1 spin particles a practically usable method for the parametrizatio n of the polarization tensor was given by C.J. Mullin et al. [1]. In the pr esent paper we propose a method which can be applied for arbitrary values o f the spin. The tensors of the spin s particles are formed with 2s number o f Stokes unit vectors. By using the explicit results obtained in the s = 1, 3/2, 2, 5/2 cases, we realized that for s greater than or equal to 2 the f ree choice of the Stokes vectors is restricted by one condition. The condit ion obtained for s = 2 and s = 5/2 spin particles suggests the momentum qua ntum number systems (1/2 + 1/2 + 1) and (1/2 +/- 1/2 +/- 1/2 + 1), respecti vely. The applicability of the method is also supported by the fact that th e Bargmann-Wigner state vectors can be given by Dirac bispinors [2], and th e Joos-Weinberg equations for s > 1/2 spin particles can be derived combini ng Dirac equations [3].