Note on the ring approximation in nuclear matter

TL;DR

This paper investigates the ring approximation in nuclear matter, revealing that summing the ring series and solving Dyson's equation are distinct methods with noticeable differences in results.

Contribution

It clarifies the distinction between two common approximation methods in nuclear matter response calculations, challenging the usual assumption of their equivalence.

Findings

Numerical results show perceptible differences between the two approaches.

The summation of the ring series and Dyson's equation are not equivalent methods.

The study highlights the importance of method choice in nuclear matter response analysis.

Abstract

The response function to an external prove is evaluated using the ring approximation in nuclear matter. Contrary to what it is usually assumed, it is shown that the summation of the ring series and the solution of the Dyson's equation are two different approaches. The numerical results exhibit a perceptible difference between both approximations.