Calculations of the K$^{+}$-Nucleus Microscopic Optical Potential and of the Corresponding Differential Elastic Cross Sections

TL;DR

This paper presents calculations of K+ meson elastic scattering cross sections on carbon-12 and calcium-40 nuclei using a microscopic optical potential derived from high-energy approximation, showing good agreement with experimental data.

Contribution

It introduces a detailed calculation method for K+ nucleus scattering using microscopic optical potentials and examines the impact of relativization methods.

Findings

Good agreement with experimental differential cross sections

Relativization methods significantly affect results

Microscopic optical potential effectively models K+ scattering

Abstract

Calculations are made of the $K^{+}+^{12}$C, $^{40}$Ca differential elastic scattering cross sections at the beam momenta 0.635, 0.715, and 0.8 GeV/c. To this end the microscopic optical potential derived in the high-energy approximation was used where existing data on the kaon-nucleon amplitude and on the point-like density distributions of target-nuclei were utilized. The effect of different methods of relativization was studied and shown to play an important role. A good agreement with the experimental data on differential elastic cross sections was obtained.