Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials
- Technical University of Darmstadt (Germany); GSI Helmholtz Center for Heavy Ion Research GmbH, Darmstadt (Germany)
- University of Washington, Seattle, WA (United States); Michigan State University, East Lansing, MI (United States)
- Technical University of Darmstadt (Germany); GSI Helmholtz Center for Heavy Ion Research GmbH, Darmstadt (Germany); Max Planck Institute for Nuclear Physics, Heidelberg (Germany)
Chiral effective field theory is a framework to derive systematic nuclear interactions. It is based on the symmetries of quantum chromodynamics and includes long-range pion physics explicitly, while shorter-range physics is expanded in a general operator basis. The number of low-energy couplings at a particular order in the expansion can be reduced by exploiting the fact that nucleons are fermions and therefore obey the Pauli exclusion principle. The antisymmetry permits the selection of a subset of the allowed contact operators at a given order. When local regulators are used for these short-range interactions, however, this “Fierz rearrangement freedom” is violated. In this paper, we investigate the impact of this violation at leading order (LO) in the chiral expansion. We construct LO and next-to-leading order (NLO) potentials for all possible LO-operator pairs and study their reproduction of phase shifts, the 4He ground-state energy, and the neutron-matter energy at different densities. We demonstrate that the Fierz rearrangement freedom is partially restored at NLO where subleading contact interactions enter. Here we also discuss implications for local chiral three-nucleon interactions.
- Research Organization:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); European Research Council (ERC); National Science Foundation (NSF)
- Grant/Contract Number:
- FG02-00ER41132; AC02-05CH11231; 307986 STRONGINT; PHY-1430152
- OSTI ID:
- 1541002
- Alternate ID(s):
- OSTI ID: 1409464
- Journal Information:
- Physical Review. C, Vol. 96, Issue 5; ISSN 2469-9985
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
|
journal | January 2020 |
Local chiral EFT potentials in nuclei and neutron matter: results and issues | preprint | January 2019 |
Similar Records
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including resonances
Chiral dynamics in few-nucleon systems