Application of relativistic mean field and effective field theory density to calculate scattering observables for Ca isotopes

TL;DR

This paper employs relativistic mean field theory and effective field theory densities to calculate proton scattering observables for calcium isotopes, emphasizing the importance of density and parametrization choices for accurate predictions.

Contribution

It introduces a combined approach using RMF and effective field theory densities to improve the calculation of scattering observables for calcium isotopes.

Findings

The choice of density and scattering matrix parametrization significantly affects predictions.

The calculated scattering observables agree well with experimental data in selected cases.

The approach enhances understanding of proton-nucleus interactions for calcium isotopes.

Abstract

In the frame work of relativistic mean field (RMF) theory, we calculate the density distribution of protons and neutrons for $^{40,42, 44,48}Ca$ with NL3 and G2 parameter sets. The microscopic proton-nucleus optical potential for $p+^{40,42,44,48}Ca$ system is evaluated 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, analyzing 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.