Effective pseudopotential for energy density functionals with higher order derivatives

Details Effective pseudopotential for energy density functionals with higher order derivatives Effective pseudopotential for energy density functionals with higher order derivatives

2011-03-03

arxiv.org/abs/1103.0682v2

Phys.Rev.C83:054311,2011

Physics

Nuclear Physics

Nuclear Theory

18 LaTeX pages, 2 EPS Figures, 27 Tables, and 18 files of the supplemental material (LaTeX, Mathematica, and Fortran), introdu

Scientific paper

10.1103/PhysRevC.83.054311

We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional (EDF) built of derivatives of the one-body density matrix up to sixth order. The direct reference of the EDF to the pseudopotential acts as a constraint that divides the number of independent coupling constants of the EDF by two. This allows, e.g., for expressing the isovector part of the functional in terms of the isoscalar part, or vice versa. We also derive the analogous set of constraints for the coupling constants of the EDF that is restricted by spherical, space-inversion, and time-reversal symmetries.

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