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 »
- Authors:
-
[1];
- Univ. de Granada, Granada (Spain). Dept. de Física Atómica, Molecular y Nuclear and Inst. Carlos I de Fisica Teórica y Computacional
- 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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Chiral exchange at fourth order and peripheral scattering
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Comparison of potential models with the np scattering data below 350 MeV
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Coarse-grained NN potential with chiral two-pion exchange
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Erratum: Renormalization of the interaction with a chiral two-pion exchange potential. II. Noncentral phases [Phys. Rev. C 74 , 064004 (2006)]
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Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
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- Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M.
- Physical Review C, Vol. 48, Issue 2
Construction of high-quality NN potential models
journal, June 1994
- Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.
- Physical Review C, Vol. 49, Issue 6
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
High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001
- Machleidt, R.
- Physical Review C, Vol. 63, Issue 2
Covariant spectator theory of scattering: Phase shifts obtained from precision fits to data below 350 MeV
journal, July 2008
- Gross, Franz; Stadler, Alfred
- Physical Review C, Vol. 78, Issue 1
Comparison of potential models with the pp scattering data below 350 MeV
journal, February 1993
- Stoks, Vincent; de Swart, J. J.
- Physical Review C, Vol. 47, Issue 2
Comparison of potential models with the np scattering data below 350 MeV
journal, September 1995
- Stoks, Vincent; de Swart, J. J.
- Physical Review C, Vol. 52, Issue 3
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold
journal, December 2013
- Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz
- Physical Review C, Vol. 88, Issue 6
Erratum: Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold [Phys. Rev. C 88 , 064002 (2013)]
journal, February 2015
- Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz
- Physical Review C, Vol. 91, Issue 2
Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold
journal, August 2013
- Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E.
- Physical Review C, Vol. 88, Issue 2
Coarse-grained NN potential with chiral two-pion exchange
journal, February 2014
- Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz
- Physical Review C, Vol. 89, Issue 2
Statistical error analysis for phenomenological nucleon-nucleon potentials
journal, June 2014
- Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E.
- Physical Review C, Vol. 89, Issue 6
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
Precise determination of charge-dependent pion-nucleon-nucleon coupling constants
journal, June 2017
- Pérez, R. Navarro; Amaro, J. E.; Ruiz Arriola, E.
- Physical Review C, Vol. 95, Issue 6
Nucleon-Nucleon Scattering in Momentum Space: OPEP as Example
journal, October 1959
- Signell, Peter
- Progress of Theoretical Physics, Vol. 22, Issue 4
Modified Analysis of Nucleon-Nucleon Scattering. I. Theory and Scattering at 310 Mev
journal, May 1959
- Cziffra, Peter; MacGregor, Malcolm H.; Moravcsik, Michael J.
- Physical Review, Vol. 114, Issue 3
Test of Peripherality for Scattering
journal, September 1971
- Binstock, Judith; Bryan, Ronald
- Physical Review D, Vol. 4, Issue 5
Peripheral nucleon-nucleon phase shifts and chiral symmetry
journal, November 1997
- Kaiser, N.; Brockmann, R.; Weise, W.
- Nuclear Physics A, Vol. 625, Issue 4
Peripheral NN-scattering: role of delta-excitation, correlated two-pion and vector meson exchange
journal, July 1998
- Kaiser, N.; Gerstendörfer, S.; Weise, W.
- Nuclear Physics A, Vol. 637, Issue 3
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
journal, January 2015
- Entem, D. R.; Kaiser, N.; Machleidt, R.
- Physical Review C, Vol. 91, Issue 1
Low-energy chiral two-pion exchange potential with statistical uncertainties
journal, May 2015
- Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz
- Physical Review C, Vol. 91, Issue 5
Renormalization of the interaction with a chiral two-pion-exchange potential: Central phases and the deuteron
journal, November 2006
- Pavón Valderrama, M.; Arriola, E. Ruiz
- Physical Review C, Vol. 74, Issue 5
Renormalization of the interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006
- Pavón Valderrama, M.; Arriola, E. Ruiz
- Physical Review C, Vol. 74, Issue 6
Erratum: Renormalization of the interaction with a chiral two-pion exchange potential. II. Noncentral phases [Phys. Rev. C 74 , 064004 (2006)]
journal, May 2007
- Valderrama, M. Pavón; Arriola, E. Ruiz
- Physical Review C, Vol. 75, Issue 5
Eikonal formula for tensor forces
journal, May 1997
- Besprosvany, J.
- Physical Review A, Vol. 55, Issue 5
The Neutron-Proton Interaction
journal, February 1950
- Christian, Richard S.; Hart, Edward W.
- Physical Review, Vol. 77, Issue 4
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
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
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
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
Nucleon-nucleon elastic scattering to 3 GeV
journal, August 2000
- Arndt, Richard A.; Strakovsky, Igor I.; Workman, Ron L.
- Physical Review C, Vol. 62, Issue 3
Updated analysis of elastic scattering to 3 GeV
journal, August 2007
- Arndt, R. A.; Briscoe, W. J.; Strakovsky, I. I.
- Physical Review C, Vol. 76, Issue 2
Partial-wave analysis of nucleon-nucleon elastic scattering data
journal, December 2016
- Workman, Ron L.; Briscoe, William J.; Strakovsky, Igor I.
- Physical Review C, Vol. 94, Issue 6
Chiral exchange at fourth order and peripheral scattering
journal, July 2002
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 66, Issue 1
Neutron-Proton and Proton-Proton Scattering at High Energies
journal, May 1948
- Ashkin, Julius; Wu, Ta-You
- Physical Review, Vol. 73, Issue 9
Eikonal Expansion
journal, July 1969
- Sugar, R. L.; Blankenbecler, R.
- Physical Review, Vol. 183, Issue 5
Works referencing / citing this record:
Perturbative N N scattering in chiral effective field theory
journal, February 2019
- Wu, Shaowei; Long, Bingwei
- Physical Review C, Vol. 99, Issue 2