### Abstract

Ground-state properties in a model quantum field theory are calculated by stochastic evaluation of a path integral representation of the many-body propagator. The model consists of nonrelativistic nucleons coupled to vector and scalar mesons in one spatial dimension. Binding energies and density distributions are calculated for bound states of up to twenty nucleons. The binding energy as a function of density, the nucleon-nucleon correlation function, and the meson-meson correlation function are evaluated in nuclear matter. Exact ground-state solutions to the full field theory are shown to differ relatively little from those of the potential theory corresponding to the static limit. The exact solutions differ substantially from those of the mean-field (Hartree) approximation, but are quite similar to those obtained in the Hartree-Fock approximation. NUCLEAR STRUCTURE Meson-nucleon field theory. Monte Carlo solution. Nuclear matter.

Original language | English (US) |
---|---|

Pages (from-to) | 1679-1695 |

Number of pages | 17 |

Journal | Physical Review C - Nuclear Physics |

Volume | 28 |

Issue number | 4 |

DOIs | |

State | Published - 1983 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*28*(4), 1679-1695. https://doi.org/10.1103/PhysRevC.28.1679

**Stochastic solution of a model meson-nucleon field theory.** / Serot, Brian D.; Koonin, S. E.; Negele, J. W.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 28, no. 4, pp. 1679-1695. https://doi.org/10.1103/PhysRevC.28.1679

}

TY - JOUR

T1 - Stochastic solution of a model meson-nucleon field theory

AU - Serot, Brian D.

AU - Koonin, S. E.

AU - Negele, J. W.

PY - 1983

Y1 - 1983

N2 - Ground-state properties in a model quantum field theory are calculated by stochastic evaluation of a path integral representation of the many-body propagator. The model consists of nonrelativistic nucleons coupled to vector and scalar mesons in one spatial dimension. Binding energies and density distributions are calculated for bound states of up to twenty nucleons. The binding energy as a function of density, the nucleon-nucleon correlation function, and the meson-meson correlation function are evaluated in nuclear matter. Exact ground-state solutions to the full field theory are shown to differ relatively little from those of the potential theory corresponding to the static limit. The exact solutions differ substantially from those of the mean-field (Hartree) approximation, but are quite similar to those obtained in the Hartree-Fock approximation. NUCLEAR STRUCTURE Meson-nucleon field theory. Monte Carlo solution. Nuclear matter.

AB - Ground-state properties in a model quantum field theory are calculated by stochastic evaluation of a path integral representation of the many-body propagator. The model consists of nonrelativistic nucleons coupled to vector and scalar mesons in one spatial dimension. Binding energies and density distributions are calculated for bound states of up to twenty nucleons. The binding energy as a function of density, the nucleon-nucleon correlation function, and the meson-meson correlation function are evaluated in nuclear matter. Exact ground-state solutions to the full field theory are shown to differ relatively little from those of the potential theory corresponding to the static limit. The exact solutions differ substantially from those of the mean-field (Hartree) approximation, but are quite similar to those obtained in the Hartree-Fock approximation. NUCLEAR STRUCTURE Meson-nucleon field theory. Monte Carlo solution. Nuclear matter.

UR - http://www.scopus.com/inward/record.url?scp=4243814160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243814160&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.28.1679

DO - 10.1103/PhysRevC.28.1679

M3 - Article

AN - SCOPUS:4243814160

VL - 28

SP - 1679

EP - 1695

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -