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The traditional approach to nuclear physics encodes phase shift informationin a nucleon-nucleon (NN) potential, producing a nucleon-level interaction thatcaptures the sub-GeV consequences of QCD. A further reduction to the nuclearscale is needed to produce an effective interaction for soft Hilbert spaces,such as those employed in the shell model. Here we describe an alternativeconstruction of this effective interaction, from QCD directly to the nuclearscale, that is direct and precise. This eliminates the need for constructingand renormalizing the high-momentum NN potential. Instead, continuum phaseshifts and mixing angles are used directly at the nuclear scale. The methodexploits the analytic continuity in energy of HOBET (Harmonic-Oscillator-BasedEffective Theory) to connect bound states to continuum solutions at specificenergies. The procedure is systematic, cutoff independent, and convergent,yielding keV accuracy at NNLO or N$^3$LO, depending on the channel. Lepageplots are provided.

Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables