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Title: Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials

Journal Article · · Physical Review. C
 [1];  [2];  [1];  [3]
  1. Technical University of Darmstadt (Germany); GSI Helmholtz Center for Heavy Ion Research GmbH, Darmstadt (Germany)
  2. University of Washington, Seattle, WA (United States); Michigan State University, East Lansing, MI (United States)
  3. Technical University of Darmstadt (Germany); GSI Helmholtz Center for Heavy Ion Research GmbH, Darmstadt (Germany); Max Planck Institute for Nuclear Physics, Heidelberg (Germany)
+ Show Author Affiliations

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
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

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Cited By (2)

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

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
nuclear forces
nucleon-nucleon interactions