Nuclear collective excitations in Landau Fermi liquid theory

TL;DR

This paper applies Landau Fermi liquid theory with a linear sigma-omega nucleon interaction to analyze nuclear collective excitations, matching theoretical energies with observed giant resonances and predicting mixed excitation modes.

Contribution

It introduces a novel application of Landau Fermi liquid theory to nuclear excitations using the linear sigma-omega model, providing new insights into resonance modes and their compositions.

Findings

Calculated excitation energies match giant resonance data

Identified specific modes with proton and neutron creation and annihilation states

Predicted mixed excitation states with different angular momentum values

Abstract

The nuclear collective excitations are studied within Landau Fermi liquid theory. By using the nucleon-nucleon interaction of the linear sigma-omega model, the nuclear collective excitation energies of different values of $l$ are obtained, which are fitted with the centroid energies of the giant resonances of spherical nuclei, respectively. In addition, it is pointed out that the isovector giant resonances except l=1 correspond to the modes that protons are in the creation state and neutrons are in the annihilation state, and vice versa. Some mixtures of the nuclear collective excitation states with different values of l are predicted.