Low energy peripheral scaling in Nucleon-Nucleon Scattering and uncertainty quantification

Understand

We analyze the peripheral structure of the nucleon-nucleon interaction for LAB energies below 350 MeV.

• To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts $(L+1/2) \delta_{JLS} (p)$ and the scaled mixing parameters $(L+1/2)\epsilon_{JLS}(p)$ in terms of the impact parameter $b=(L+1/2)/p$.
• According to the eikonal approximation, at large angular momentum $L$ these functions should become an universal function of $b$, {\it independent} on $L$.
• This allows to discuss in a rather transparent way the role of statistical and systematic uncertainties in the different long range components of the two-body potential.