skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

; ; ;
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
FG02-00ER41132; AC02-05CH11231
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; Related Information: CHORUS Timestamp: 2017-11-20 10:03:25; Journal ID: ISSN 2469-9985
American Physical Society
Country of Publication:
United States

Citation Formats

Huth, L., Tews, I., Lynn, J. E., and Schwenk, A.. Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.054003.
Huth, L., Tews, I., Lynn, J. E., & Schwenk, A.. Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials. United States. doi:10.1103/PhysRevC.96.054003.
Huth, L., Tews, I., Lynn, J. E., and Schwenk, A.. 2017. "Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials". United States. doi:10.1103/PhysRevC.96.054003.
title = {Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials},
author = {Huth, L. and Tews, I. and Lynn, J. E. and Schwenk, A.},
abstractNote = {},
doi = {10.1103/PhysRevC.96.054003},
journal = {Physical Review C},
number = 5,
volume = 96,
place = {United States},
year = 2017,
month =

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 20, 2018
Publisher's Accepted Manuscript

Save / Share:
  • Examples are given of realistic /sup 1/S/sub 0/ and /sup 3/S/sub 1/--/sup 3/D/sub 1/ nucleon-nucleon potentials in which the short-range part is due to transitions to exotic six-quark states of the MIT-bag type. These potentials describe the phase shifts and mixing parameter in the energy range T/sub L/< or approx. =1 GeV. The obtained admixtures of the NN component in the bag are found to be in good agreement with the theoretical predictions for the six-quark configuration s/sup 6//sub 1/2/. It is shown that the static admixture of the MIT bag in the deuteron is negligibly small; the contribution ofmore » the region of overlap of the nucleon bags in the deuteron is estimated to be approx.10%.« less
  • We present two new nucleon-nucleon (NN) potentials: a v/sub 14/ model that is a conventional NN potential and a v/sub 28/ model with explicit degrees of freedom. The v/sub 14/ model has 14 operator components describing NN channels, while the v/sub 28/ model has 14 additional operators, including 12 transition operators for all possible and ..pi delta delta.. couplings and two central operators for and delta.. channels; the latter are constrained so that the v/sub 28/ model has no additional free parameters for data fitting. The two models give excellent and almost identical fits to deuteronmore » properties and np scattering below 330 MeV. The v/sub 14/ and v/sub 28/ forms are convenient for nuclear structure calculations; when many-body cluster contributions are evaluated the v/sub 28/ model will automatically include much of the effect attributed to many-body forces in conventional models, while the v/sub 14/ model will provide a standard of comparison.« less
  • A path-integral quantization is presented for the chiral Schwinger model on a Riemann surface. Gauge invariance is maintained by integrating over all gauge potentials without the usual gauge fixing. All local degrees of freedom of the gauge field are suppressed after the integration of the anomalous effective action over a gauge orbit. The resulting theory is a topological one for the surviving global gauge excitations. The general implications for consistent quantization of chiral gauge theories are also discussed.
  • Research Highlights: > We study the similarity renormalization group evolution of chiral NN potentials. > We evolve an effective potential derived using a subtractive renormalization scheme. > Unitarity of the SRG evolution is verified within the subtractive scheme. > High- and low-momentum components decouple for the SRG evolved potential. - Abstract: Methods based on Wilson's renormalization group have been successfully applied in the context of nuclear physics to analyze the scale dependence of effective nucleon-nucleon (NN) potentials, as well as to consistently integrate out the high-momentum components of phenomenological high-precision NN potentials in order to derive phase-shift equivalent softer forms,more » the so called V{sub low-k} potentials. An alternative renormalization group approach that has been applied in this context is the similarity renormalization group (SRG), which is based on a series of continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. In this work we study the SRG evolution of a leading order (LO) chiral effective NN potential in the {sup 1}S{sub 0} channel derived within the framework of the subtracted kernel method (SKM), a renormalization scheme based on a subtracted scattering equation.« less
  • In this study, we construct a coordinate-space chiral potential, including Δ-isobar intermediate states in its two-pion-exchange component up to order Q 3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q 2 and Q 4, respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constant multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0–300 MeV. For themore » total 5291 $pp$ and $np$ data in this range, we obtain a Χ 2 /datum of roughly 1.3 for a set of three models characterized by long- and short-range cutoffs, R L and R S respectively, ranging from (R L,R S)=(1.2,0.8) fm down to (0.8,0.6) fm. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.« less