  The Pauli rearrangement potential given by the second-order diagram is
evaluated for a nucleon optical model potential (OMP) with $G$ matrices of the
nucleon-nucleon interaction in chiral effective field theory. The results
obtained in nuclear matter are applied for $^{40}$Ca in a local-density
approximation. The repulsive effect is of the order of 5MeV at the normal
density. The density dependence indicates that the real part of the microscopic
OMP becomes shallower in a central region, but is barely affected in a surface
area. This improves the overall resemblance of the microscopic OMP to the
empirical one.

Nuclear Theory