Quantum Monte Carlo calculations of A=9,10 nuclei

Phys. Rev. C 66, 044310 – Published 29 October 2002
Steven C. Pieper, K. Varga, and R. B. Wiringa


We report on quantum Monte Carlo calculations of the ground and low-lying excited states of A=9,10 nuclei using realistic Hamiltonians containing the Argonne v18 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 α-like core and multiple p-shell nucleons, LS-coupled to the appropriate (Jπ;T) 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 9Li, 9Be, 10Be, and 10B with an rms deviation as little as 900 keV. In particular, we obtain the correct 3+ ground state for 10B, whereas the Argonne v18 alone or with Urbana IX predicts a 1+ ground state. In addition, we calculate isovector and isotensor energy differences, electromagnetic moments, and one- and two-body density distributions.

DOI: http://dx.doi.org/10.1103/PhysRevC.66.044310

  • Received 24 June 2002
  • Published 29 October 2002

© 2002 The American Physical Society

Authors & Affiliations

Steven C. Pieper1,*, K. Varga1,2,†, and R. B. Wiringa1,‡

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
  • 2Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831

  • *Electronic address: spieper@anl.gov
  • Electronic address: vargak@ornl.gov
  • Electronic address: wiringa@anl.gov

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