Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

Details Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions

2010-03-26

arxiv.org/abs/1003.5210v1

Nucl.Phys.A851:17-43,2011

Physics

Nuclear Physics

Nuclear Theory

28 pages, 12 figures. Mathematica notebook provided with submission.

Scientific paper

10.1016/j.nuclphysa.2010.12.009

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with density-dependent couplings. In this work, we apply the improved formulation of the DME proposed recently in arXiv:0910.4979 by Gebremariam {\it et al.} to the non-local Fock energy obtained from chiral effective field theory (EFT) two-nucleon (NN) interactions at next-to-next-to-leading-order (N$^2$LO). The structure of the chiral interactions is such that each coupling in the DME Fock functional can be decomposed into a cutoff-dependent coupling {\it constant} arising from zero-range contact interactions and a cutoff-independent coupling {\it function} of the density arising from the universal long-range pion exchanges. This motivates a new microscopically-guided Skyrme phenomenology where the density-dependent couplings associated with the underlying pion-exchange interactions are added to standard empirical Skyrme functionals, and the density-independent Skyrme parameters subsequently refit to data. A Mathematica notebook containing the novel density-dependent couplings is provided.

Affiliated with

Also associated with

No associations

Rating

Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183135