Effective nucleon-nucleon interaction for scattering at intermediate energies

TLDR

The interaction was derived by fitting an energy‑dependent multiple‑Yukawa form to the on‑shell nucleon‑nucleon t matrix, with the derivation procedure and associated uncertainties described. A local, energy‑dependent representation of the free nucleon‑nucleon t matrix for 100–800 MeV/nucleon was constructed, tabulated, and shown to accurately describe elastic and inelastic proton scattering, with key properties highlighted and applied to several (p,p′) transitions.

Abstract

A local representation of the free nucleon-nucleon $t$ matrix has been determined for several projectile bombarding energies between 100 and 800 MeV/nucleon and is presented in tabular form. The form of the interaction has been tailored for use in calculations of elastic and inelastic proton scattering in this energy range. The technique used to derive the interaction is outlined and some of the resulting uncertainties are discussed. A number of the most important properties of the interaction and their roles in the calculation of nucleon-nucleus scattering observables are discussed. A few applications of the interaction are made to a variety of ($p$,${p}^{\ensuremath{'}}$) transitions within a single-scattering context.NUCLEAR REACTIONS An energy-dependent multiple Yukawa representation of the on-shell nucleon-nucleon $t$ matrix between 100 and 800 MeV.