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Title: Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification

Abstract

We analyze the peripheral structure of the nucleon–nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts (L + 1/2) δ JLS (p) and the scaled mixing parameters (L + 1/2)ϵ JLS (p) in terms of the impact parameter b = (L + 1/2)/p. According to the eikonal approximation, at large angular momentum L these functions should become an universal function of b, independent on L. This allows to discuss in a rather transparent way the role of statistical and systematic uncertainties in the different long range components of the two-body potential. Implications for peripheral waves obtained in chiral perturbation theory interactions to fifth order (N5LO) or from the large body of NN data considered in the SAID partial wave analysis are also drawn from comparing them with other phenomenological high-quality interactions, constructed to fit scattering data as well. Here, we find that both N5LO and SAID peripheral waves disagree more than 5σ with the Granada-2013 statistical analysis, more than 2σ with the 6 statistically equivalent potentials fitting the Granada-2013 database and about 1σ with the historical set of 13 high-quality potentials developedmore » since the 1993 Nijmegen analysis.« less

Authors:
ORCiD logo [1];  [1];  [1];  [2]
  1. Univ. de Granada, Granada (Spain). Dept. de Física Atómica, Molecular y Nuclear and Inst. Carlos I de Fisica Teórica y Computacional
  2. Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics and Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1502030
Report Number(s):
LLNL-JRNL-736447
Journal ID: ISSN 0954-3899; 888873
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 45; Journal Issue: 3; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NN interaction; nucleon-nucleon phase-shifts; peripheral scaling; long-range correlations

Citation Formats

Simo, I. Ruiz, Amaro, J. E., Arriola, E. Ruiz, and Pérez, R. Navarro. Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification. United States: N. p., 2018. Web. doi:10.1088/1361-6471/aaabd2.
Simo, I. Ruiz, Amaro, J. E., Arriola, E. Ruiz, & Pérez, R. Navarro. Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification. United States. https://doi.org/10.1088/1361-6471/aaabd2
Simo, I. Ruiz, Amaro, J. E., Arriola, E. Ruiz, and Pérez, R. Navarro. Wed . "Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification". United States. https://doi.org/10.1088/1361-6471/aaabd2. https://www.osti.gov/servlets/purl/1502030.
@article{osti_1502030,
title = {Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification},
author = {Simo, I. Ruiz and Amaro, J. E. and Arriola, E. Ruiz and Pérez, R. Navarro},
abstractNote = {We analyze the peripheral structure of the nucleon–nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts (L + 1/2) δ JLS (p) and the scaled mixing parameters (L + 1/2)ϵ JLS (p) in terms of the impact parameter b = (L + 1/2)/p. According to the eikonal approximation, at large angular momentum L these functions should become an universal function of b, independent on L. This allows to discuss in a rather transparent way the role of statistical and systematic uncertainties in the different long range components of the two-body potential. Implications for peripheral waves obtained in chiral perturbation theory interactions to fifth order (N5LO) or from the large body of NN data considered in the SAID partial wave analysis are also drawn from comparing them with other phenomenological high-quality interactions, constructed to fit scattering data as well. Here, we find that both N5LO and SAID peripheral waves disagree more than 5σ with the Granada-2013 statistical analysis, more than 2σ with the 6 statistically equivalent potentials fitting the Granada-2013 database and about 1σ with the historical set of 13 high-quality potentials developed since the 1993 Nijmegen analysis.},
doi = {10.1088/1361-6471/aaabd2},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 3,
volume = 45,
place = {United States},
year = {2018},
month = {1}
}

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Cited by: 2 works
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Partial-wave analysis of nucleon-nucleon elastic scattering data
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Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
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  • Physical Review C, Vol. 48, Issue 2
  • DOI: 10.1103/PhysRevC.48.792

Construction of high-quality NN potential models
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  • Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.
  • Physical Review C, Vol. 49, Issue 6
  • DOI: 10.1103/PhysRevC.49.2950

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

  • Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
  • Physical Review C, Vol. 51, Issue 1
  • DOI: 10.1103/PhysRevC.51.38

High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001


Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
journal, July 2008


Comparison of potential models with the pp scattering data below 350 MeV
journal, February 1993


Comparison of potential models with the np scattering data below 350 MeV
journal, September 1995


Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold
journal, December 2013


Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold
journal, August 2013


Coarse-grained NN potential with chiral two-pion exchange
journal, February 2014


Statistical error analysis for phenomenological nucleon-nucleon potentials
journal, June 2014


Three pion nucleon coupling constants
journal, August 2016

  • Ruiz Arriola, E.; Amaro, J. E.; Navarro Pérez, R.
  • Modern Physics Letters A, Vol. 31, Issue 28
  • DOI: 10.1142/S0217732316300275

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants
journal, June 2017


Nucleon-Nucleon Scattering in Momentum Space: OPEP as Example
journal, October 1959

  • Signell, Peter
  • Progress of Theoretical Physics, Vol. 22, Issue 4
  • DOI: 10.1143/PTP.22.492

Modified Analysis of Nucleon-Nucleon Scattering. I. Theory and p p Scattering at 310 Mev
journal, May 1959

  • Cziffra, Peter; MacGregor, Malcolm H.; Moravcsik, Michael J.
  • Physical Review, Vol. 114, Issue 3
  • DOI: 10.1103/PhysRev.114.880

Test of Peripherality for N N Scattering
journal, September 1971


Peripheral nucleon-nucleon phase shifts and chiral symmetry
journal, November 1997


Peripheral NN-scattering: role of delta-excitation, correlated two-pion and vector meson exchange
journal, July 1998


Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
journal, January 2015


Low-energy chiral two-pion exchange potential with statistical uncertainties
journal, May 2015


Renormalization of the NN interaction with a chiral two-pion-exchange potential: Central phases and the deuteron
journal, November 2006


Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006


Eikonal formula for tensor forces
journal, May 1997


The Neutron-Proton Interaction
journal, February 1950


Nucleon-nucleon partial-wave analysis to 1 GeV
journal, July 1983

  • Arndt, Richard A.; Roper, L. David; Bryan, Ronald A.
  • Physical Review D, Vol. 28, Issue 1
  • DOI: 10.1103/PhysRevD.28.97

Nucleon-nucleon partial-wave analysis to 1100 MeV
journal, January 1987

  • Arndt, Richard A.; Hyslop, John S.; Roper, L. David
  • Physical Review D, Vol. 35, Issue 1
  • DOI: 10.1103/PhysRevD.35.128

Nucleon-nucleon partial-wave analysis to 1.6 GeV
journal, June 1992

  • Arndt, Richard A.; Roper, L. David; Workman, Ron L.
  • Physical Review D, Vol. 45, Issue 11
  • DOI: 10.1103/PhysRevD.45.3995

Nucleon-nucleon elastic scattering analysis to 2.5 GeV
journal, December 1997

  • Arndt, Richard A.; Heon Oh, Chang; Strakovsky, Igor I.
  • Physical Review C, Vol. 56, Issue 6
  • DOI: 10.1103/PhysRevC.56.3005

Nucleon-nucleon elastic scattering to 3 GeV
journal, August 2000


Updated analysis of N N elastic scattering to 3 GeV
journal, August 2007


Partial-wave analysis of nucleon-nucleon elastic scattering data
journal, December 2016


Chiral 2 π exchange at fourth order and peripheral NN scattering
journal, July 2002


Neutron-Proton and Proton-Proton Scattering at High Energies
journal, May 1948


Eikonal Expansion
journal, July 1969


Works referencing / citing this record:

Perturbative N N scattering in chiral effective field theory
journal, February 2019