6533b834fe1ef96bd129e25b
RESEARCH PRODUCT
Linear Response Theory with finite-range interactions
Dany DavesneJesús NavarroAlessandro Pastoresubject
Finite-range interactionsNuclear and High Energy PhysicsFinite size instabilities[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]Nuclear TheoryFormalism (philosophy)Gogny and Nakada interactionsFOS: Physical sciencesContinued fraction approximation01 natural sciencesNuclear Theory (nucl-th)0103 physical sciencesTensorStatistical physics010306 general physicsContinued fractionPhysicsDegree (graph theory)010308 nuclear & particles physicsPropagatorFunction (mathematics)16. Peace & justiceNuclear matterLinear response theoryMultipolar expansionLinear response theorydescription
International audience; 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-09-01 |