Many-body Propagator Theory with Three-Body Interactions: a Path to Exotic Open Shell Isotopes

TL;DR

This paper reviews recent advances in ab-initio nuclear structure calculations using self-consistent Green's function theory, extended to include three-body interactions and open shell isotopes, enabling predictions of medium-mass nuclei.

Contribution

It introduces the extension of SCGF formalism to three-body interactions and open shell systems, enhancing ab-initio predictions for medium-mass nuclei.

Findings

Extended SCGF formalism to three-body interactions.

Successful application to semi-magic open shell isotopes.

Improved predictive power for nuclear chart regions.

Abstract

Ab-initio predictions of nuclei with masses up to A~100 or more is becoming possible thanks to novel advances in computations and in the formalism of many-body physics. Some of the most fundamental issues include how to deal with many-nucleon interactions, how to calculate degenerate--open shell--systems, and pursuing ab-initio approaches to reaction theory. Self-consistent Green's function (SCGF) theory is a natural approach to address these challenges. Its formalism has recently been extended to three- and many-body interactions and reformulated within the Gorkov framework to reach semi-magic open shell isotopes. These exciting developments, together with the predictive power of chiral nuclear Hamiltonians, are opening the path to understanding large portions of the nuclear chart, especially within the $sd$ and $pf$ shells. The present talk reviews the most recent advances in ab-initio nuclear structure and many-body theory that have been possible through the SCGF approach.