Constraints on the coupling constants of σ − and ω − mesons to ∆-isobars
The effects of the presence of ∆-isobars in nuclear matter are studied in the framework of relativistic mean-field theory. The existence of stable nuclei at saturation density imposes constraints on the coupling constants of the σand ω-meson with ∆-isobars. The range of possible values for the scalar and vector coupling constants of ∆-isobars with respect to the nucleon coupling is investigated and compared to recent predictions of QCD sum rule calculations.
The Relativistic Nuclear Many Body Problem
These lectures are based on a book “THE RELATIVISTIC NUCLEAR MANY-BODY PROBLEM” written with Brian Serot which will appear as volume 16 of the series Advances in Nuclear Physics edited by J. W. Negele and E. Vogt [R1]. I am distributing copies of the table of contents.
Self-consistent hartree description of finite nuclei in a relativistic quantum field theory
Abstract Relativistic Hartree equations for spherical nuclei are derived from a relativistic nuclear quantum field theory using a coordinate-space Green function approach. The renormalizable field theory lagrangian includes the interaction of nucleons with σ, ω, ρ and π mesons and the photon. The Hartree equations represent the “mean-field” approximation for a finite nuclear system. Coupling constants and the σ-meson mass are determined from the properties of nuclear matter and the rms charge radius in 40Ca, and pionic contributions are absent for static, closed-shell nuclei. Calculated charge densities, neutron densities, rms radii, and single-nucleon energy levels throughout the periodic table are compared with data and with results of non-relativistic calculations. Relativistic Hartree results agree with experiment at a level comparable to that of the most sophisticated non-relativistic calculations to date. It is shown that the Lorentz covariance of the relativistic formalism leads naturally to density-dependent interactions between nucleons. Furthermore, non-relativistic reduction reveals non-central and non-local aspects inherent in the Hartree formalism. The success of this simple relativistic Hartree approach is attributed to these features of the interaction.