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By investigation of the dielectric response of a Fermi-Dirac plasma in thelinear limit and evaluation of the electrostatic potential around the positivestationary test charge, we find that the Shukla-Eliasson attractive force ispresent for the plasma density range expected in the interiors of large planetsfor a wide range of plasma atomic-number. This research which is based on thegeneralized electron Fermi-momentum further confirms the existence of the newlydiscovered Lennard-Jones-like attractive potential and its inevitable role inplasma crystallization in the cores of planets. Moreover, it is observed thatthe characteristics of the attractive potential is strongly sensitive to thevariation of the plasma density and composition. Current research can also haveapplications in the study of strong laser-matter interactions and innertiallyconfined plasmas.

Shukla-Eliasson Attractive Force: Revisited