Self-consistent calculations within the Green's function method including particle-phonon coupling and the single-particle continuum

TL;DR

This paper presents a self-consistent Green's function approach incorporating particle-phonon coupling and continuum effects to accurately describe nuclear excitations in lead isotopes.

Contribution

It introduces a novel self-consistent method combining RPA, continuum, and particle-phonon coupling within the Skyrme framework for nuclear structure calculations.

Findings

Reproduces experimental energies of collective states

Achieves good agreement for non-collective low-lying states

Successfully incorporates particle-phonon interactions

Abstract

The Green's function method in the \emph{Quasiparticle Time Blocking Approximation} is applied to nuclear excitations in $^{132}$Sn and $^{208}$Pb. The calculations are performed self-consistently using a Skyrme interaction. The method combines the conventional RPA with an exact single-particle continuum treatment and considers in a consistent way the particle-phonon coupling. We reproduce not only the experimental values of low- and high-lying collective states but we also obtain fair agreement with the data of non-collective low-lying states that are strongly influenced by the particle-phonon coupling.