Description of longitudinal modes in moderately coupled Yukawa systems with the static local field correction

In moderately coupled Yukawa fluids, longitudinal mode dispersion is determined by the competition between kinetic and potential effects. a recent paper [S. Khrapak L. Couëdel, Phys. Rev. E 102, 033207 (2020)], semi-phenomenological relation was constructed ad hoc addition of Bohm–Gross term to generalized instantaneous excess bulk modulus, which showed very good agreement with simulations. this paper, nearly identical derived in rigorous manner based on dielectric formulation static local field corrections. At moderate coupling, formalism revealed be more accurate than other successful theoretical approaches.