Spin constraints on nuclear energy density functionals
Abstract
The Gallagher-Moszkowski rule in the spectroscopy of odd-odd nuclei imposes a new spin constraint on the energy functionals for self-consistent mean field theory. The commonly used parameterization of the effective three-body interaction in the Gogny and Skyrme families of energy functionals is ill-suited to satisfy the spin constraint. In particular, the Gogny parameterization of the three-body interaction has the opposite spin dependence to that required by the observed spectra. The two-body part has a correct sign, but in combination the rule is violated as often as not. We conclude that a new functional form is needed for the effective three-body interaction that can take into better account the different spin-isospin channels of the interaction.
Cite
@article{arxiv.1310.5041,
title = {Spin constraints on nuclear energy density functionals},
author = {L. M. Robledo and R. N. Bernard and G. F. Bertsch},
journal= {arXiv preprint arXiv:1310.5041},
year = {2015}
}
Comments
9 pages, 2 Figures, 1 table; to be submitted to Phys. Rev. Lett