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

TL;DR

This paper explores summing Parquet diagrams within Green's function theory as an ab initio approach for nuclear structure calculations, demonstrating promising results through a simple model comparison.

Contribution

It introduces a Parquet diagram summation method in Green's function theory for nuclear structure, with numerical implementation details and validation against exact solutions.

Findings

Good agreement with exact solutions in a simple model

Potential for ab initio nuclear structure calculations

Framework adaptable to more complex systems

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.