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

Simo, I. Ruiz; Amaro, J. E.; Arriola, E. Ruiz; Pérez, R. Navarro

doi:10.1088/1361-6471/aaabd2

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

Journal Article · 31 January 2018 · Journal of Physics. G, Nuclear and Particle Physics

DOI: https://doi.org/10.1088/1361-6471/aaabd2 · OSTI ID:1502030

^[1]; Amaro, J. E. ^[1]; Arriola, E. Ruiz ^[1]; Pérez, R. Navarro ^[2]

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

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.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1502030

Report Number(s):: LLNL-JRNL--736447; 888873

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Journal Issue: 3 Vol. 45; ISSN 0954-3899

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases Pavón Valderrama, M.; Arriola, E. Ruiz Physical Review C, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevC.74.064004	journal	December 2006
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Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014005	journal	July 2008
Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024002	journal	August 2013
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064002	journal	December 2013
Coarse-grained NN potential with chiral two-pion exchange Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.024004	journal	February 2014
Statistical error analysis for phenomenological nucleon-nucleon potentials Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064006	journal	June 2014
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.014002	journal	January 2015
Erratum: Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold [Phys. Rev. C 88 , 064002 (2013)] Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.029901	journal	February 2015
Low-energy chiral two-pion exchange potential with statistical uncertainties Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.054002	journal	May 2015
Partial-wave analysis of nucleon-nucleon elastic scattering data Workman, Ron L.; Briscoe, William J.; Strakovsky, Igor I. Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevC.94.065203	journal	December 2016
Precise determination of charge-dependent pion-nucleon-nucleon coupling constants Pérez, R. Navarro; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevC.95.064001	journal	June 2017
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Comparison of potential models with the pp scattering data below 350 MeV Stoks, Vincent; de Swart, J. J. Physical Review C, Vol. 47, Issue 2 https://doi.org/10.1103/physrevc.47.761	journal	February 1993
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/physrevc.48.792	journal	August 1993
Construction of high-quality NN potential models Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/physrevc.49.2950	journal	June 1994
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/physrevc.51.38	journal	January 1995
Comparison of potential models with the np scattering data below 350 MeV Stoks, Vincent; de Swart, J. J. Physical Review C, Vol. 52, Issue 3 https://doi.org/10.1103/physrevc.52.1698	journal	September 1995
Nucleon-nucleon elastic scattering analysis to 2.5 GeV Arndt, Richard A.; Heon Oh, Chang; Strakovsky, Igor I. Physical Review C, Vol. 56, Issue 6 https://doi.org/10.1103/physrevc.56.3005	journal	December 1997
Nucleon-nucleon elastic scattering to 3 GeV Arndt, Richard A.; Strakovsky, Igor I.; Workman, Ron L. Physical Review C, Vol. 62, Issue 3 https://doi.org/10.1103/physrevc.62.034005	journal	August 2000
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Renormalization of the NN interaction with a chiral two-pion-exchange potential: Central phases and the deuteron Pavón Valderrama, M.; Arriola, E. Ruiz Physical Review C, Vol. 74, Issue 5 https://doi.org/10.1103/physrevc.74.054001	journal	November 2006
Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases Pavón Valderrama, M.; Arriola, E. Ruiz Physical Review C, Vol. 74, Issue 6 https://doi.org/10.1103/physrevc.74.064004	journal	December 2006
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Updated analysis of N N elastic scattering to 3 GeV Arndt, R. A.; Briscoe, W. J.; Strakovsky, I. I. Physical Review C, Vol. 76, Issue 2 https://doi.org/10.1103/physrevc.76.025209	journal	August 2007
Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/physrevc.78.014005	journal	July 2008
Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/physrevc.88.024002	journal	August 2013
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/physrevc.88.064002	journal	December 2013
Coarse-grained NN potential with chiral two-pion exchange Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/physrevc.89.024004	journal	February 2014
Statistical error analysis for phenomenological nucleon-nucleon potentials Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/physrevc.89.064006	journal	June 2014
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/physrevc.91.014002	journal	January 2015
Erratum: Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold [Phys. Rev. C 88 , 064002 (2013)] Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/physrevc.91.029901	journal	February 2015
Low-energy chiral two-pion exchange potential with statistical uncertainties Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/physrevc.91.054002	journal	May 2015
Partial-wave analysis of nucleon-nucleon elastic scattering data Workman, Ron L.; Briscoe, William J.; Strakovsky, Igor I. Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/physrevc.94.065203	journal	December 2016
Precise determination of charge-dependent pion-nucleon-nucleon coupling constants Pérez, R. Navarro; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 95, Issue 6 https://doi.org/10.1103/physrevc.95.064001	journal	June 2017
Nucleon-nucleon partial-wave analysis to 1 GeV Arndt, Richard A.; Roper, L. David; Bryan, Ronald A. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/physrevd.28.97	journal	July 1983
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Test of Peripherality for N − N Scattering Binstock, Judith; Bryan, Ronald Physical Review D, Vol. 4, Issue 5 https://doi.org/10.1103/physrevd.4.1341	journal	September 1971
Nucleon-nucleon partial-wave analysis to 1.6 GeV Arndt, Richard A.; Roper, L. David; Workman, Ron L. Physical Review D, Vol. 45, Issue 11 https://doi.org/10.1103/physrevd.45.3995	journal	June 1992
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Comparison of potential models with the pp scattering data below 350 MeV Stoks, Vincent; de Swart, J. J. arXiv https://doi.org/10.48550/arxiv.nucl-th/9211013	text	January 1992
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Comparison of potential models with the np scattering data below 350 MeV Stoks, Vincent; de Swart, J. J. arXiv https://doi.org/10.48550/arxiv.nucl-th/9411002	text	January 1994
Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry Kaiser, N.; Brockmann, R.; Weise, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/9706045	text	January 1997
Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange Kaiser, N.; Gerstendoerfer, S.; Weise, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/9802071	text	January 1998

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

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