NN scattering and nuclear uncertainties

TL;DR

This paper reviews how uncertainties in nucleon-nucleon interactions, derived from scattering data, affect ab initio nuclear calculations and discusses the necessary numerical precision for reliable results.

Contribution

It provides a comprehensive analysis of nuclear uncertainties from NN scattering data and evaluates the numerical precision needed in ab initio nuclear calculations.

Findings

Uncertainties in NN scattering data impact nuclear structure calculations.

Numerical precision requirements are crucial for accurate ab initio results.

Analysis includes light nuclei like triton and alpha particle.

Abstract

Ab initio calculations in Nuclear physics for atomic nuclei require a specific knowledge of the interactions among their constituents, protons and neutrons. In particular, NN interactions can be constrained down to scale resolutions of $\Delta r \sim 0.6 {\rm fm}$ from the study of phase shifts below the pion production threshold. However, this allows for ambiguities and uncertainties which have an impact on finite nuclei, nuclear- and neutron-matter properties. On the other hand the nuclear many body problem is intrinsically difficult and the computational cost increases with numerical precision and number of nucleons. However, it is unclear what the physical precision should be for these calculations. In this contribution we review much of the work done in Granada to encompass both the uncertainties stemming from the NN scattering database in light nuclei such as triton and alpha particle and the numerical precision required by the solution method.