Quantum Monte Carlo calculations of A=8 nuclei

Abstract

We report quantum Monte Carlo calculations of ground and low-lying excited states for A=8 nuclei using a realistic Hamiltonian containing the Argonne v18 two-nucleon and Urbana IX three-nucleon potentials. The calculations begin with correlated eight-body wave functions that have a filled alpha-like core and four p-shell nucleons LS-coupled to the appropriate (J+/-;T) quantum numbers for the state of interest. After optimization, these variational wave functions are used as input to a Green's function Monte Carlo calculation made with a new constrained path algorithm. We find that the Hamiltonian produces an 8Be ground state that is within 2 MeV of the experimental resonance, but the other eight-body energies are progressively worse as the neutron-proton asymmetry increases. The 8Li ground state is stable against breakup into subclusters, but the 8He ground state is not. The excited state spectra are in fair agreement with experiment, with both the single-particle behavior of 8He and 8Li and the collective rotational behavior of 8Be being reproduced. We also examine energy differences in the T=1 and 2 isomultiplets and isospin-mixing matrix elements in the excited states of 8Be. Finally, we present densities, momentum distributions, and studies of the intrinsic shapes of these nuclei, with 8Be exhibiting a definite 2-alpha cluster structure.