  By investigation of the dielectric response of a Fermi-Dirac plasma in the
linear limit and evaluation of the electrostatic potential around the positive
stationary test charge, we find that the Shukla-Eliasson attractive force is
present for the plasma density range expected in the interiors of large planets
for a wide range of plasma atomic-number. This research which is based on the
generalized electron Fermi-momentum further confirms the existence of the newly
discovered Lennard-Jones-like attractive potential and its inevitable role in
plasma crystallization in the cores of planets. Moreover, it is observed that
the characteristics of the attractive potential is strongly sensitive to the
variation of the plasma density and composition. Current research can also have
applications in the study of strong laser-matter interactions and innertially
confined plasmas.
