Calculation of the nucleon-nucleon interaction due to vector-meson exchange

We make use of a momentum-space bosonization of a generalized Nambu–Jona-Lasinio model to calculate the contribution of rho and omega exchange to the one-boson-exchange (OBE) model of the nucleon-nucleon interaction. Momentum-dependent meson-quark coupling constants are obtained in the bosonization scheme. A vector-meson-dominance (VMD) model is used to obtain information concerning the momentum dependence of the meson-nucleon vertex, other than that which arises from the momentum dependence of the meson-quark coupling constants. We find good agreement with the magnitude of the force at ${\mathit{q}}^2$=0 for both rho and omega exchange. The momentum dependence of the interaction in the region -0.2 ${\mathrm{GeV}}^2$≤${\mathit{q}}^2$≤0 was calculated. We only obtain about two-thirds of the strength of the OBE interaction at ${\mathit{q}}^2$=-0.2 ${\mathrm{GeV}}^2$, suggesting the importance of interactions of shorter range than that considered here. (We note that, for -0.2 ${\mathrm{GeV}}^2$≤${\mathit{q}}^2$≤0, we span the range of ${\mathit{q}}^2$ of significance for nuclear structure studies.) © 1996 The American Physical Society.