Non-Linear derivative interactions in relativistic hadrodynamics

TL;DR

This paper introduces non-linear derivative interactions in relativistic hadrodynamics, resulting in a momentum- and density-dependent nucleon selfenergy that aligns with microscopic calculations and experimental data.

Contribution

It extends the RHD Lagrangian with non-linear derivative interactions, providing a unified framework compatible with various nuclear physics results.

Findings

Nucleon selfenergy becomes momentum and density dependent

Reproduces real part of proton-nucleus potential across energies

Compatible with microscopic nuclear matter calculations

Abstract

The Lagrangian density of Relativistic Hadrodynamics (RHD) is extended by introducing non-linear derivative (NLD) interactions of the nucleon with the meson fields. As a consequence, the nucleon selfenergy becomes both momentum and density dependent. With a single cut-off parameter, which regulates the NLD Lagrangian, our approach is compatible with results from microscopic nuclear matter calculations as well as with Dirac phenomenology. It also reproduces the correct behavior of the real part of the proton-nucleus potential both at low and at high proton energies.