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

[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.

[发布机构] 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