A soluble model of a coupled meson-nucleon system

A. Johnson

Brian D. Serot, S. E. Koonin, John W. Negele

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.

Quan‐Fang Wang, Chengyu Cao

A reasonable dissipative physical model is established for nucleons and meson dynamical system described by Klein-Gordon Schrödinger coupled equations. Using the laser pulse electric control to derive the initial ground state to target excited state will be considered in this paper. A stable semi-discrete approach is experimentally applied to realize the theoretical design of control searching. The perfect matched simulation results illustrated the feasibility of theoretical study, and provided the prediction for real laboratory experiments.

Kelly Ann Doty, Franz Gross

Masahiro Nakano, Akira Hasegawa

A method is shown to derive a consistent Hamiltonian of nucleon and meson system in a finite nucleus from a Lorentz-scalar Lagrangian. For this purpose, the Schwinger-Dyson method is applied to a many-body problem of the interacting nucleons and mesons in a finite system. Using this method, closed equations of exact Green's functions for single-particle motions of a nucleon and a meson are derived. It is shown that the interactions of nucleons and mesons generate local dependent potentials in a finite system and that the potentials can be determined self-consistently on the basis of the many-body Schwinger-Dyson formalism. In the method, condensed meson fields are extracted from the meson fields and treated as c-number fields, so that the classical equations of the condensed fields become equivalent to those of the mean-field theory originally proposed by Walecka et al.$---- The present method is regarded as a natural extension of mean-field theory to a full quantum treatment for finite systems. The method provides a self-consistent description of the single-particle motions of nucleons and mesons and their mutual interactions. It allows us to include full quantum effects and to describe not only the ground state but also excited states in a systematic way.

龍之 高塚