Statistical error propagation in ab initio no-core full configuration calculations of light nuclei

Abstract

We propagate the statistical uncertainty of experimental NN scattering data into the binding energy of ${}^3$H and ${}^4$He. We also study the sensitivity of the magnetic moment and proton radius of the ${}^3$H to changes in the NN interaction. The calculations are made with the no-core full configuration method in a sufficiently large harmonic oscillator basis. For those light nuclei we obtain $\Delta E$(${}^3$H) = 0.015 MeV and $\Delta E$(${}^4$He) = 0.055 MeV.

Comments: 7 pages, 3 figures, 1 table