We report on quantum Monte Carlo calculations of the ground and low-lying excited states of nuclei using realistic Hamiltonians containing the Argonne two-nucleon potential alone or with one of several three-nucleon potentials, including Urbana IX and three of the new Illinois models. The calculations begin with correlated many-body wave functions that have an -like core and multiple p-shell nucleons, -coupled to the appropriate quantum numbers for the state of interest. After optimization, these variational trial functions are used as input to a Green’s function Monte Carlo calculation of the energy, using a constrained path algorithm. We find that the Hamiltonians that include Illinois three-nucleon potentials reproduce ten states in and with an rms deviation as little as 900 keV. In particular, we obtain the correct ground state for whereas the Argonne alone or with Urbana IX predicts a ground state. In addition, we calculate isovector and isotensor energy differences, electromagnetic moments, and one- and two-body density distributions.
- Received 24 June 2002
- Published 29 October 2002
© 2002 The American Physical Society