Effects of density and parametrization on scattering observables

TL;DR

This paper investigates how nuclear density distributions and scattering matrix parametrizations influence proton scattering observables on calcium isotopes, using relativistic mean field theory and relativistic impulse approximation.

Contribution

It introduces a comprehensive analysis combining RMF density calculations with various scattering parametrizations to improve predictions of scattering observables.

Findings

Density and parametrization significantly affect scattering predictions

Good agreement with experimental data when using appropriate densities and parametrizations

Highlights importance of accurate nuclear densities in scattering models

Abstract

We calculate the density distribution of protons and neutrons for $^{40,42, 44,48}Ca$ in the frame-work of relativistic mean field (RMF) theory with NL3 and G2 parameter sets. The microscopic proton-nucleus optical potential for $p+^{40}Ca$ system is evaluted from Dirac NN-scattering amplitude and the density of the target nucleus using Relativistic-Love-Franey and McNeil-Ray-Wallace parametrizations. Then we estimate the scattering observables, such as elastic differential scattering cross-section, analysing power and the spin observables with relativistic impulse approximation. We compare the results with the experimental data for some selective cases and found that the use of density as well as the scattering matrix parametrization is crucial for the theoretical prediction.