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arXiv · 1604.00968

Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy

R. Navarro Perez·A. Nogga·J. E. Amaro·E. Ruiz Arriola
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Abstract

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 for $^3$H and the Yakubovsky equations for $^4$He 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.

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R. Navarro Perez, A. Nogga, J. E. Amaro, E. Ruiz Arriola. 2016-04-04. Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy. https://doi.org/10.1088/1742-6596/742/1/012001

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