Few-Body Systems (FB20) manuscript No. (will be inserted by the editor) Recent Progress in the Theory of Nuclear Forces

Abstract During the past two decades, it has been demonstrated that chiral effec-tive field theory represents a powerful tool to deal with nuclear forces in a systematic and model-independent way. Two-, three-, and four-nucleon forces have been derived up to next-to-next-to-next-to-leading order (N3LO) and (partially) applied in nuclear few- and many-body systems—with, in general, a good deal of success. This may sug-gest that we are finally done with the nuclear force problem; but that would be too optimistic. There are still some pretty basic open issues that have been swept under rug and, finally, need our full attention, like the proper renormalization of the two-nucleon potential. Moreover, the order-by-order convergence of the many-body force contributions is at best obscure at this time