### Abstract

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 ^{3}He, ^{4}He and the v_{2} potential model of nuclear matter. In both ^{4}He and ^{3}He the new wave function gives an energy and equilibrium density much closer to the experimental values than the Jastrow form. In the v_{2} 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.

Original language | English (US) |
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Pages (from-to) | 240-252 |

Number of pages | 13 |

Journal | Nuclear Physics, Section A |

Volume | 328 |

Issue number | 1-2 |

DOIs | |

State | Published - Oct 1 1979 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section A*,

*328*(1-2), 240-252. https://doi.org/10.1016/0375-9474(79)90221-5