TY  - JOUR
AU  - Davesne, D.
AU  - Pastore, A.
AU  - Navarro, J.
PY  - 2021
DA  - 2021//
TI  - Linear response theory with finite-range interactions
T2  - Prog. Part. Nucl. Phys.
JO  - Progress in Particle and Nuclear Physics
SP  - 103870
EP  - 55pp
VL  - 120
PB  - Elsevier
KW  - Linear response theory
KW  - Finite-range interactions
KW  - Gogny and Nakada interactions
KW  - Finite size instabilities
KW  - Continued fraction approximation
KW  - Multipolar expansion
AB  - 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.
SN  - 0146-6410
UR  - https://arxiv.org/abs/2011.08817
UR  - https://doi.org/10.1016/j.ppnp.2021.103870
DO  - 10.1016/j.ppnp.2021.103870
LA  - English
N1  - WOS:000674530100008
ID  - Davesne_etal2021
ER  -