| Irfu-09-195
|
|---|
| Symbolic computation of the Hartree-Fock energy from a chiral EFT three-nucleon interaction at N2LO |
| B. Gebremariam, S. K. Bogner, T. Duguet |
| We present the first of a two-part Mathematica notebook collection that implements a symbolic approach for the
application of the density matrix expansion (DME) to the Hartree-Fock (HF) energy
from a chiral effective field theory (EFT) three-nucleon interaction at N$^2$LO. The final output from the notebooks is a Skyrme-like energy density
functional that provides a quasi-local approximation to the nonlocal HF energy. In this paper,
we discuss the derivation of the HF energy and its simplification in terms of the scalar/vector-isoscalar/isovector parts of the one-body density matrix. Furthermore, a set of steps is described and illustrated on how to extend the approach to other three-nucleon interactions. |
