Continued fraction approximation for the nuclear matter response function

TL;DR

This paper employs a continued fraction method to approximate the nuclear matter response function, demonstrating that the first order approximation is reliable up to saturation density, validated against exact numerical calculations.

Contribution

It introduces a continued fraction approximation for the RPA response function in nuclear matter and assesses its convergence and accuracy.

Findings

First order approximation provides reliable results up to saturation density.

Continued fraction method converges quickly compared to exact calculations.

Validation against numerical results confirms the method's effectiveness.

Abstract

We use a continued fraction approximation to calculate the RPA response function of nuclear matter. The convergence of the approximation is assessed by comparing with the numerically exact response function obtained with a typical effective finite-range interaction used in nuclear physics. It is shown that just the first order term of the expansion can give reliable results at densities up to the saturation density value.