Density-dependent NN-interaction from subleading chiral 3N-forces: short-range terms and relativistic corrections

Abstract

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_{\text{med}}$ in isospin-symmetric nuclear matter. The momentum and $k_f$-dependent potentials associated with the isospin operators ($1$ and ${\vec{\tau }}_1\cdot {\vec{\tau }}_2$) and five independent spin-structures are expressed in terms of loop functions, which are either given in closed analytical form or require at most one numerical integration. Our results for $V_{\text{med}}$ are most helpful to implement subleading chiral 3N-forces into nuclear many-body calculations.

16 pages, 5 figures

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• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
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• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
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• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Density-dependent NN-interaction from subleading chiral 3N-forces: Long-range terms
• Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
• The Equation of State of Neutron-Rich Matter at Fourth Order of Chiral Effective Field Theory and the Radius of a Medium-Mass Neutron Star
• Density-dependent NN-interaction from subsubleading chiral 3N-force: Intermediate-range contributions
• Temperature effects on the neutron matter equation of state obtained from chiral effective field theory
• Density-Dependent Neutron-Neutron Interaction from Subleading Chiral Three-Neutron Forces
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion