The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
arXiv:2101.06792 · doi:10.1007/s00601-020-01587-9
Abstract
The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in applications of NN-potentials to nuclear structure and reactions, the lower partial waves are the important ones, making the largest contributions. Lower partial waves are sensitive to the short-range potential, and so, when the short-range contacts were to dominate over the chiral pion-contributions in lower partial waves, then the predictions from "chiral potentials" would have little to do with chiral symmetry. To address this issue, we investigate systematically the role of the (chiral) one- and two-pion exchanges, on the one hand, and the effect of the contacts, on the other hand, in the lower partial waves of NN scattering. We are able to clearly identify the signature of chiral symmetry in lower partial waves. Our study has also a pedagogical spin-off as it demonstrates in detail how the reproduction of the lower partial-wave phase shifts comes about from the various ingredients of the theory.
30 pages, 6 figures
References in corpus (17)
- Chiral effective field theory and nuclear forces
- Improved nuclear matter calculations from chiral low-momentum interactions
- Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
- Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
- Evolution of shell structure in neutron-rich calcium isotopes
- Updated analysis of NN elastic scattering to 3 GeV
- Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including 's
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
- Accurate bulk properties of nuclei from to from potentials with isobars
- Neutron matter from chiral two- and three-nucleon calculations up to NLO
- Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
- Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
- Chiral EFT based nuclear forces: Achievements and challenges
- Low-energy neutron-deuteron reactions with N3LO chiral forces
- Can chiral EFT give us satisfaction?
- Exploring the relationship between nuclear matter and finite nuclei with chiral two- and three-nucleon forces