Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
arXiv:1302.2872 · doi:10.1103/PhysRevC.87.054007
Abstract
We derive the subleading contributions to the two-pion-one-pion exchange and ring three-nucleon force topologies emerging at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. The resulting expressions do not involve any unknown parameters. To study convergence of the chiral expansion we work out the most general operator structure of a local isospin-invariant three-nucleon force. Using the resulting operator basis with 22 independent structures, we compare the strength of the corresponding potentials in configuration space for individual topologies at various orders in the chiral expansion. As expected, the subleading contributions from the two-pion-one-pion-exchange and ring diagrams are large which can be understood in terms of intermediate excitation of the Delta(1232) isobar.
32 pages, 8 figures
References in corpus (14)
- Chiral effective field theory and nuclear forces
- Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
- Constraints on neutron star radii based on chiral effective field theory interactions
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- Three-body forces: From cold atoms to nuclei
- Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
- Subleading contributions to the chiral three-nucleon force I: long-range terms
- Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
- Analyses of pion-nucleon elastic scattering amplitudes up to in extended-on-mass-shell subtraction scheme
- Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
- Delta-excitations and the three-nucleon force
- Three-body forces and proton-rich nuclei
- Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
- Isospin-breaking two-nucleon force with explicit Delta-excitations
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