Simple MSA solution and thermodynamic theory in a hard-sphere Yukawa system

A simple expression for the mean-spherical-approximation (MSA) solution of the Ornstein-Zernike (OZ) equation in the Baxter formalism is presented for the case with n components and a single Yukawa term with factorizable prefactor: all coefficients of the MSA solution are given in terms of simple rational functions of a parameter that is defined as the acceptable solution of a non-linear equation. The manifold of solutions of the nonlinear equation and the choice of the acceptable solution are discussed. A thermodynamic theory is also presented in terms of simple rational functions of the above-mentioned parameter, and the effect of the ‘charge-non-neutrality’ condition on thermodynamic functions is discussed.