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The single-particle potentials in isospin asymmetric nuclear matter is investigated in the framework of the Brueck-ner theory by adopting the realistic Bonn B two-body interaction in combination with a consistent microscopic three-body force.The rearrangement contribution induced by the ground state correlations to single-nucleon potentials is calculated in terms of the hole-line expansion of the mass operator.With the modification of this rearrangement term the symmetry potential is discussed as a function of momentum for several isospin asymme.