Scalar-vector Lagrangian without nonlinear self-interactions of bosonic fields in the relativistic mean-field theory

TL;DR

This paper introduces a new relativistic mean-field Lagrangian model for nuclei that omits nonlinear scalar self-interactions by incorporating scalar-vector interactions, effectively describing nuclear properties and resonances.

Contribution

A novel RMF Lagrangian model with scalar-vector interactions that eliminates the need for nonlinear scalar self-interaction terms.

Findings

Accurately describes ground-state properties of nuclei.

Successfully models giant monopole resonance energies.

Provides a simplified yet effective theoretical framework.

Abstract

A new Lagrangian model without nonlinear scalar self-interactions in the relativistic mean-field (RMF) theory is proposed. Introducing terms for scalar-vector interactions (SVI), we have developed a RMF Lagrangian model for finite nuclei and nuclear matter. It is shown that by inclusion of SVI in the basic RMF Lagrangian, the nonlinear sigma^3 and sigma^4 terms can be dispensed with. The SVI Lagrangian thus obtained provides a good description of ground-state properties of nuclei along the stability line as well as far away from it. This Lagrangian model is also able to describe experimental data on the breathing-mode giant monopole resonance energies well.