This review focuses on the calculation of infinite nuclear matter response functions using phenomenological finite-range interactions, equipped or not with tensor terms. These include Gogny and Nakada families, which are commonly used in the literature. Because of the finite-range, the main technical difficulty stems from the exchange terms of the particle–hole interaction. We first present results based on the so-called Landau and Landau-like approximations of the particle–hole interaction. Then, we review two methods which in principle provide numerically exact response functions. The first one is based on a multipolar expansion of both the particle–hole interaction and the particle–hole propagator and the second one consists in a continued fraction expansion of the response function. The numerical precision can be pushed to any degree of accuracy, but it is actually shown that two or three terms suffice to get converged results. Finally, we apply the formalism to the determination of possible finite-size instabilities induced by a finite-range interaction.

本综述侧重于使用现象学有限范围相互作用计算无限核物质响应函数，无论是否配备张量项。其中包括文献中常用的 Gogny 和 Nakada 家族。由于范围有限，主要的技术难点在于粒子-空穴相互作用的交换项。我们首先提出基于粒子-空穴相互作用的所谓朗道和类朗道近似的结果。然后，我们回顾了两种原则上提供精确的数值响应函数的方法。第一个基于粒子-空穴相互作用和粒子-空穴传播子的多极扩展，第二个包括响应函数的连续分数扩展。数值精度可以推到任何程度的精度，但实际上表明，两三项就足以得到收敛的结果。最后，我们将形式主义应用于确定由有限范围相互作用引起的可能的有限尺寸不稳定性。