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To obtain an understanding of the structure and reactions of nuclear systemsfrom first principles has been a long-standing goal of nuclear physics. In thisrespect, few- and many-body systems provide a unique laboratory for studyingnuclear interactions. During the past decades, the development of accuraterepresentations of the nuclear force has undergone substantial progress.Particular emphasis has been devoted to chiral effective field theory (EFT), alow-energy effective representation of quantum chromodynamics (QCD). Withinchiral EFT, many studies have been carried out dealing with the construction ofboth the nucleon-nucleon ($N\!N$) and three-nucleon ($3N$) interactions. Theaim of the present article is to give a detailed overview of the chiralinteraction models that are local in configuration space, and show recentresults for nuclear systems obtained by employing these local chiral forces.

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory