Variational calculations of few-body nuclei

Phys. Rev. C 43, 1585 – Published 1 April 1991
R. B. Wiringa


Improved variational wave functions for use in microscopic studies of few-body nuclei are presented. The trial functions are constructed from pair-correlation operators, which include central, spin, isospin, tensor, and spin-orbit components, and triplet-correlation operators, which include components induced by three-nucleon potentials. Energy expectation values are calculated using Metropolis Monte Carlo integration. Variational parameter searches are made using energy differences to reduce the effect of statistical fluctuations on the choice of optimal trial functions. Results are reported for ground-state binding energies of H3 and He4 using the Reid v8 and Argonne v14 two-nucleon potentials, and Argonne v14 with the Tucson-Melbourne, Urbana VII, and Urbana VIII three-nucleon potentials. The variational binding energies are typically 3–4% above available Faddeev and Green’s-function Monte Carlo results. Nucleon density distributions and elastic electromagnetic form factors are also presented. Extension of these wave functions to larger nuclei such as He5, He6, and Li6 is discussed.


  • Received 12 December 1990
  • Published in the issue dated April 1991

© 1991 The American Physical Society

Authors & Affiliations

R. B. Wiringa

  • Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

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