Systematics of binding energies and radii based on realistic two-nucleon plus phenomenological three-nucleon interactions

摘要

We investigate the influence of phenomenological three-nucleon interactionson the systematics of ground-state energies and charge radii throughout thewhole nuclear mass range from 4-He to 208-Pb. The three-nucleon interactionssupplement unitarily transformed two-body interactions constructed within theUnitary Correlation Operator Method or the Similarity Renormalization Groupapproach. To be able to address heavy nuclei as well, we treat the many-bodyproblem in Hartree-Fock plus many-body perturbation theory, which is sufficientto assess the systematics of energies and radii, and limit ourselves toregularized three-body contact interactions. We show that even with such asimplistic three-nucleon interaction a simultaneous reproduction of theexperimental ground-state energies and charge radii can be achieved, which isnot possible with unitarily transformed two-body interactions alone.