Tensor and tensor-isospin terms in the effective Gogny interaction
Abstract
We discuss the need of including tensor terms in the effective Gogny interaction used in mean-field calculations. We show in one illustrative case that, with the usual tensor term that is employed in the Skyrme interaction (and that allows us to separate the like-nucleon and the neutron-proton tensor contributions), we can describe the evolution of the N=28 neutron gap in calcium isotopes. We propose to include a tensor and a tensor-isospin term in finite-range interactions of Gogny type. The parameters of the two tensor terms allow us to treat separately the like-nucleon and the neutron-proton contributions. Two parameterizations of the tensor terms have been chosen to reproduce different neutron single-particle properties in the 48Ca nucleus and the energy of the first 0- state in the 16O nucleus. By employing these two parameterizations we analyze the evolution of the N=14, 28, and 90 neutron energy gaps in oxygen, calcium and tin isotopes, respectively. We show that the combination of the parameters governing the like-nucleon contribution is crucial to correctly reproduce the experimental (where available) or shell-model trends for the evolution of the three neutron gaps under study.
Cite
@article{arxiv.1210.5333,
title = {Tensor and tensor-isospin terms in the effective Gogny interaction},
author = {Marta Anguiano and Marcella Grasso and Giampaolo Co' and Viviana De Donno and Antonio M. Lallena},
journal= {arXiv preprint arXiv:1210.5333},
year = {2015}
}
Comments
20 pages, 6 figures. Accepted for publication in Physical Review C