Partial wave decomposition of finite-range effective tensor interaction
Nuclear Theory
2016-06-15 v1
Abstract
We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial wave decomposition of the equation of state of symmetric nuclear matter, we show how we can extract their tensor parameters directly from microscopic results based on bare nucleon-nucleon interactions. Furthermore, we show that the zero-range limit of both finite-range interactions has the form of the N3LO Skyrme pseudo-potential, which thus constitutes a reliable approximation in the density range relevant for finite nuclei. Finally, we use Brueckner-Hartree-Fock results to fix the tensor parameters for the three effective interactions.
Cite
@article{arxiv.1601.02956,
title = {Partial wave decomposition of finite-range effective tensor interaction},
author = {D. Davesne and P. Becker and A. Pastore and J. Navarro},
journal= {arXiv preprint arXiv:1601.02956},
year = {2016}
}