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While the no-core shell model is a state-of-the-art microscopic approach tolow-energy nuclear structure, its intense computational requirements lead us toconsider time-honored approximations such as the Hartree-Fock (HF)approximation and the random phase approximation (RPA). We review RPA and pointout some common misunderstandings, then apply HF+RPA to the no-core shellmodel. Here the main issue is appropriate treatment of contamination byspurious center-of-mass motion.Comment: To appear in IJMPE; Proceedings of "Blueprints for the Nucleus,"  Istanbul, Turkey, May 200

SHORTCUTS TO NUCLEAR STRUCTURE: LESSONS IN HARTREE–FOCK, RPA, AND THE NO-CORE SHELL MODEL