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The ground-state energies and radii for $^{4}$He, $^{16}$O, and $^{40}$Ca arecalculated with the unitary-model-operator approach (UMOA). In the presentstudy, we employ the similarity renormalization group (SRG) evolvednucleon-nucleon ($NN$) and three-nucleon ($3N$) interactions based on thechiral effective field theory. This is the first UMOA calculation with both$NN$ and $3N$ interactions. The calculated ground-state energies and radii areconsistent with the recent {\it ab initio} results with the same interaction.We evaluate the expectation values with two- and three-body SRG evolved radiusoperators, in addition to those with the bare radius operator. With the aid ofthe higher-body evolution of radius operator, it is seen that the calculatedradii tend to be SRG resolution-scale independent. We find that the SRGevolution gives minor modifications for the radius operator.

Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces