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

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.

arXiv comment17 pages, 11 figures; Proceeding of the 17th International Conference on Recent Progress in Many-Body-Theories; Journal of Physics: Conference Series (JPCS). Very minor corrections, published version

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• Effects of Rescattering in (e,e'p) Reactions within a Semiclassical Model
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• First measurements of the ^16O(e,e'pn)^14N reaction
• Knockout of proton-neutron pairs from ${}^{16}$O with electromagnetic probes
• Toward the Ab-initio Description of Medium Mass Nuclei

Cited by in corpus (8)

• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain
• Neutrino-nucleus cross section within the extended factorization scheme
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Algebraic diagrammatic construction formalism with three-body interactions
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Inclusive electron-nucleus cross section within the Self Consistent Green's Function approach
• Gorkov algebraic diagrammatic construction formalism at third order