Calculations of the Scattering of Mesons by the Matrix Method

The β-matrices in the vector meson theory can be reduced to the simpler {ξ}-matrices and S matrices (spin matrices). Certain relations concerning the ζ and S matrices are deduced. These are applied to the calculation of the scattering of mesons by the Coulomb field and the scattering of mesons by the nuclear interaction. Results independent of any particular initial state of polarization of the meson are obtained.