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.

9 pages, 2 Figures, 1 table; to be submitted to Phys. Rev. Lett

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• Odd-odd neutron-rich rhodium isotopes studied with the double Penning trap JYFLTRAP
• Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy density functional
• Gallagher-Moszkowski splitting in deformed odd-odd nuclei within a microscopic approach
• Odd nuclei and quasiparticle excitations within the Barcelona Catania Paris Madrid energy density functional