Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions

TL;DR

This paper extends Green's function theory to include three-body forces, applying it to oxygen isotopes, and demonstrates accurate predictions of binding energies and driplines, highlighting its predictive power.

Contribution

The authors develop a formalism incorporating three-body interactions into Green's function theory, enabling accurate nuclear structure predictions for isotopic chains.

Findings

Reproduces binding energies of nitrogen, oxygen, and fluorine isotopes with high accuracy.

Correctly predicts all three neutron driplines when full 3NF are included.

Allows calculation of nucleon transfer form factors for doubly magic nuclei.

Abstract

We extend the formalism of self-consistent Green's function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time. The third-order algebraic diagrammatic construction [ADC(3)] equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and correspondingly dropping interaction reducible diagrams. This goes beyond the standard normal ordering truncations recently used in ab-inito studies. The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction. This formalism is then applied to study chiral two-nucleon (2N) and three-nucleon forces (3NF) evolved to low momentum cutoffs. We find that these interactions reproduce the binding energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing clear indication of the predictive power of this approach. All three neutron driplines are correctly predicted when full 3NF are included. The formalism introduced also allows to calculate form factors for nucleon transfer on doubly magic systems.