Shielding of NxM projectiles in a collisional, self-gravitating, generalized Lorentzian dusty plasma

The shielding potential of NxM projectiles passing through a collisional, self-gravitating dust contaminated plasma is studied by mean of linearized dielectric theory for a generalized Lorentzian plasma. The correlation and interference effects of projectiles on the shielded potential as well as on the energy loss are presented. The amplitude of the shielded potential is enhanced with the increase of dust Jeans frequency for separation less than the effective Debye length. The dust charge fluctuations produce a potential well for slow charge relaxation rate and the energy is gained by the test charge projectiles. However, for fast charge relaxation rate with a fixed value of Jeans frequency, the energy loss is enhanced. The dust neutral collisions also enhance the energy loss for the test charge velocities greater than the dust acoustic speeds