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arXiv · 1310.5041

Spin constraints on nuclear energy density functionals

L. M. Robledo·R. N. Bernard·G. F. Bertsch
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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.

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L. M. Robledo, R. N. Bernard, G. F. Bertsch. 2013-10-18. Spin constraints on nuclear energy density functionals. https://doi.org/10.1103/physrevc.89.021303

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