Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy*

FAIRNESS 2016

Pérez, R. Navarro^1 ; Nogga, A.^2 ; Amaro, J.E.^3 ; Arriola, E. Ruiz^3

Nuclear and Chemical Science Division, Lawrence Livermore National Laboratory, Livermore

CA

94551, United States^1

Forschungszentrum Jülich, Institut für Kernphysik (Theorie), Institute for Advanced Simulation, Jülich Center for Hadron Physics, JARA - High Performance Computing, Julich

D-52425, Germany^2

Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos i de Física Teórica y Computacional, Universidad de Granada, Granada

E-18071, Spain^3

关键词: Bootstrap method;    Computational accuracy;    Error estimates;    Faddeev equations;    Light nuclei;    Nucleon-nucleon interaction;    Statistical uncertainty;    Yakubovsky equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/742/1/012001/pdf
DOI  :  10.1088/1742-6596/742/1/012001

来源: IOP

【 摘 要 】

We analyse the impact of the statistical uncertainties of the the nucleon-nucleon interaction, based on the Granada-2013 np-pp database, on the binding energies of the triton and the alpha particle using a bootstrap method, by solving the Faddeev equations for3H and the Yakubovsky equations for4He respectively. We check that in practice about 30 samples prove enough for a reliable error estimate. An extrapolation of the well fulfilled Tjon-line correlation predicts the experimental binding of the alpha particle within uncertainties.