Convergence of density-matrix expansions for nuclear interactions

Abstract

We extend density-matrix expansions in nuclei to higher orders in derivatives of densities and test their convergence properties. The expansions allow for converting the interaction energies characteristic to finite- and short-range nuclear effective forces into quasi-local density functionals. We also propose a new type of expansion that has excellent convergence properties when benchmarked against the binding energies obtained for the Gogny interaction.

4 pages, 3 figures

References in corpus (3)

• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Density Matrix Expansion for Low-Momentum Interactions
• The Negele-Vautherin density matrix expansion applied to the Gogny force

Cited by in corpus (2)

• Self-interaction errors in nuclear energy density functionals
• Effective pseudopotential for energy density functionals with higher order derivatives