Self-interaction errors in nuclear energy density functionals

Abstract

When applied to a single nucleon, nuclear energy density functionals may yield a non-vanishing internal energy thus implying that the nucleon is interacting with itself. It is shown how to avoid this unphysical feature for semi-local phenomenological functionals containing all possible bilinear combinations of local densities and currents up to second order in the derivatives. The method outlined in this Rapid Communication could be easily extended to functionals containing higher order terms, and could serve as a guide for constraining the time-odd part of the functional.

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Cited by in corpus (20)

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• Effective pseudopotential for energy density functionals with higher order derivatives
• Nuclear Equation of state for Compact Stars and Supernovae
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
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• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Entrainment in Superfluid Neutron Star Crusts: Hydrodynamic Description and Microscopic Origin
• Pairing gaps in Hartree-Fock Bogoliubov theory with the Gogny D1S interaction
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• Extended Skyrme Equation of State in asymmetric nuclear matter
• Polarization corrections to single-particle energies studied within the energy-density-functional and QRPA approaches
• Role of the symmetry energy on the neutron-drip transition in accreting and nonaccreting neutron stars
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• A Many-Body Density Energy Functional
• The nuclear symmetry energy and other isovector observables from the point of view of nuclear structure
• $\beta$-delayed $\gamma$-proton decay in ${}^{56}$Zn: analysis of the charged-particle spectrum