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

TL;DR

This paper quantifies how uncertainties in experimental nucleon-nucleon scattering data affect the calculated binding energies and other properties of light nuclei using ab initio no-core full configuration methods.

Contribution

It introduces a method to propagate experimental data uncertainties into nuclear property calculations within the no-core full configuration framework.

Findings

Uncertainty in tritium binding energy: 0.015 MeV

Uncertainty in helium-4 binding energy: 0.055 MeV

Sensitivity analysis of magnetic moment and proton radius of tritium.

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.