FULLY MICROSCOPIC CALCULATIONS FOR CLOSED-SHELL NUCLEI WITH REALISTIC NUCLEON-NUCLEON POTENTIALS

The ground-state energy of the doubly magic nuclei ⁴He and ¹⁶O has been calculated within the framework of the Goldstone expansion starting from modern nucleon-nucleon potentials. A low-momentum potential V_low–k has been derived from the bare potential by integrating out its high-momentum components beyond a cutoff Λ. We have employed a simple criterion to relate this cutoff momentum to a boundary condition for the two-nucleon model space spanned by a harmonic-oscillator basis. Convergence of the results has been obtained with a limited number of oscillator quanta.