Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
| Autor: | Gebremariam, B., Bogner, S. K., Duguet, T. |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Nucl.Phys.A851:17-43,2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.nuclphysa.2010.12.009 |
| Popis: | 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. Comment: 28 pages, 12 figures. Mathematica notebook provided with submission. |
| Databáze: | arXiv |
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