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

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

Journal Article · Wed Jan 31 00:00:00 EST 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.

View Accepted Manuscript (DOE)

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

Alternate ID(s):: OSTI ID: 22899767

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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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
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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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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
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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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