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

Understand

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.