Self-consistent Green's function theory for atomic nuclei

Abstract

Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well beyond the light sector that had been traditionally targeted in the past. Self-consistent Green's function theory is one among these techniques. The present work aims to give an overview of the self-consistent Green's function approach for atomic nuclei, including examples of recent applications and a discussion on the perspectives for extending the method to nuclear reactions, doubly open-shell systems and heavy nuclei.

arXiv comment31 pages, 10 figures

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Cited by in corpus (41)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• What is ab initio in nuclear theory?
• Ab initio computation of charge densities for Sn and Xe isotopes
• Optical potentials for the rare-isotope beam era
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• Bogoliubov many-body perturbation theory under constraint
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Nuclear energy density functionals grounded in ab initio calculations
• Factorized Approximation to the IMSRG(3)
• Gorkov algebraic diagrammatic construction formalism at third order
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Ab initio no-core shell model description of ${}^{10-14}$C isotopes
• Anomalous propagators and the particle-particle channel: Hedin's equations
• Solving the nuclear pairing model with neural network quantum states
• Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Investigation of the ground-state spin inversion in the neutron-rich 47,49Cl isotopes
• A First Glimpse at the Shell Structure beyond ${}^{54}$Ca: Spectroscopy of ${}^{55}$K, ${}^{55}$Ca, and ${}^{57}$Ca
• Importance truncation in non-perturbative many-body techniques
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Second-order optimisation strategies for neural network quantum states
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Global Framework for Emulation of Nuclear Calculations
• On the calculation and use of effective single-particle energies. The example of the neutron $1d_{3/2}$-$1d_{5/2}$ splitting along $\text{N}=20$ isotones
• Nambu-Covariant Many-Body Theory I: Perturbative Approximations
• Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations
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