Dynamics of one-dimensional correlated nuclear systems within non-equilibrium Green's function theory

TL;DR

This paper extends non-equilibrium Green's function theory for one-dimensional nuclear systems by including isospin and correlations, analyzing ground state properties, oscillations, and motion, setting the stage for future collision studies.

Contribution

It introduces isospin degrees of freedom and second-order correlations into NGF for 1D nuclear systems, advancing the theoretical framework.

Findings

Correlations affect the ground state properties.

Dissipation influences isovector dipole oscillations.

Galilean covariance enables stable boosting of nuclear slabs.

Abstract

Theory of non-equilibrium Green's function (NGF) provides a practical framework for studying quantum many-body systems out of equilibrium. Extending the previous mean field approach developed for nuclear systems in one dimension with NGF, we introduce isospin degrees of freedom to the Green's functions and incorporate short-range two-body interactions in the second-order self-consistent approximation to correlations, which represents the scattering of momentum orbitals in the Born approximation. We discuss the preparation of a finite nuclear system and examine the impact of correlations on the ground state. We also excite a finite symmetric nuclear system to oscillate in an isovector dipole mode and explore the dissipation effects in the oscillation. Finally, we demonstrate how to boost a slab to a constant and stable motion in a box, based on Galilean covariance of the theory. The studies in this paper lay the ground for the future exploration of collisions of correlated nuclear systems in one dimension.