We introduce a finite-range pseudopotential built as an expansion in
derivatives up to next-to-next-to-next-to-leading order (NLO) and
we calculate the corresponding nonlocal energy density functional
(EDF). The coupling constants of the nonlocal EDF, for both finite
nuclei and infinite nuclear matter, are expressed through the
parameters of the pseudopotential. All central, spin-orbit, and
tensor terms of the pseudopotential are derived both in the
spherical-tensor and Cartesian representation. At next-to-leading
order (NLO), we also derive relations between the nonlocal EDF
expressed in the spherical-tensor and Cartesian formalism.
Finally, a simplified version of the finite-range pseudopotential is
considered, which generates the EDF identical to that generated by a
local potential.

- Introduction
- General form of the nonlocal nuclear functional in
spherical-tensor formalism

- Nonlocal EDF for the symmetric spin-saturated nuclear matter
- Cartesian representation of the central pseudopotential

- Central pseudopotential depending on the sum of relative momenta
- Cartesian representation of the SO and tensor pseudopotentials
- Conclusions
- Bibliography
- About this document ...

Jacek Dobaczewski 2014-12-07