We review variational calculations with a Jastrow wave function and show they are inadequate to calculate the zero-temperature equation of state E(ρ) for liquid helium. The importance of the Feynman-Cohen backflow around a moving particle is then discussed, and a variational wave function incorporating backflow is proposed. Results with this wave function are discussed for 3He, 4He and the v2 potential model of nuclear matter. In both 4He and 3He the new wave function gives an energy and equilibrium density much closer to the experimental values than the Jastrow form. In the v2 model the addition of the backflow terms to the Jastrow correlation lowers the energy by 2-3 MeV. Spin-isospin correlations can simulate the state dependence of the backflow correlation at small momenta. However, at nuclear-matter densities they can produce only about half of the lowering due to backflow.
ASJC Scopus subject areas
- Nuclear and High Energy Physics