Broyden's Method in Nuclear Structure Calculations

TL;DR

This paper explores the application of Broyden's method, a numerical technique known for stability and rapid convergence, to various complex nuclear physics problems, demonstrating its effectiveness in large-scale calculations.

Contribution

It introduces the use of Broyden's method in nuclear structure calculations, highlighting its advantages over traditional methods in terms of stability and efficiency.

Findings

Broyden's method shows rapid convergence in nuclear calculations.

The method is stable and easy to implement for large-scale problems.

Applications include unitary gas, density functional theory, and coupled-cluster theory.

Abstract

Broyden's method, widely used in quantum chemistry electronic-structure calculations for the numerical solution of nonlinear equations in many variables, is applied in the context of the nuclear many-body problem. Examples include the unitary gas problem, the nuclear density functional theory with Skyrme functionals, and the nuclear coupled-cluster theory. The stability of the method, its ease of use, and its rapid convergence rates make Broyden's method a tool of choice for large-scale nuclear structure calculations.