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

doi:10.1088/1361-6471/aaabd2

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

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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:

^[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

Publication Date:: 2018-01-31

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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

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.

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                    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.  doi:10.1088/1361-6471/aaabd2.

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                    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.  doi:10.1088/1361-6471/aaabd2.  https://www.osti.gov/servlets/purl/1502030.

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@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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