Elastic collisions between two dressed grains charged with the same sign in dusty plasmas are investigated using the first- and second-order eikonal method. An interaction potential model taking into account the cross terms of shield effects is applied to describe the interaction potential between dressed dust grains in dusty plasmas. The impact parameter method is applied to investigate the variation of the eikonal phase and elastic cross section as functions of dust charge, Debye length, and collision energy. The result shows that the potential well in the interaction potential plays an important role in the elastic cross section as well as in the eikonal phase. It is also found that the dressing effects significantly increase the elastic cross section and change the sign of the eikonal phase. It is also found that the second-order eikonal phase is caused by the pure plasma screening effects.
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