Summation of Parquet diagrams as an ab initio method in nuclear structure calculations

Abstract

In this work we discuss the summation of the Parquet class of diagrams within Green's function theory as a possible framework for ab initio nuclear structure calculations. The theory is presented and some numerical details are discussed, in particular the approximations employed. We apply the Parquet method to a simple model, and compare our results with those from an exact solution. The main conclusion is that even at the level of approximation presented here, the results shows good agreement with other comparable ab initio approaches.

48 pages, elsevier latex style

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Cited by in corpus (8)

• Self-consistent Green's functions formalism with three-body interactions
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction
• Solving the Parquet Equations for the Hubbard Model beyond Weak Coupling
• Solving the Bethe-Salpeter equation with exponential convergence
• Summing parquet diagrams using the functional renormalization group: X-ray problem revisited
• Nonconvergence of the Feynman-Dyson diagrammatic perturbation expansion of propagators
• Parquet theory for molecular systems: Formalism and static kernel parquet approximation
• Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations