Cluster Model Analysis of Kaon Scattering from $^{12}$C

TL;DR

This study analyzes kaon scattering from carbon-12 using a cluster model, successfully reproducing experimental cross sections and extracting deformation parameters for inelastic states.

Contribution

It introduces a 3α-cluster model to analyze kaon scattering on carbon-12, providing detailed inelastic transition data and deformation lengths.

Findings

Good agreement with experimental scattering data

Calculated deformation lengths consistent with previous studies

Provided insights into inelastic transition mechanisms

Abstract

Angular distributions of differential cross sections for the interaction of $K^{+}$ mesons with $^{^{12}}$C nucleus at beam momenta of 635, 715, and 800 MeV/c have been analyzed using 3$\alpha$-particle model of $^{^{12}}$C. Differential cross sections for inelastic transitions to the (2$^{^{+}}$; 4.44 MeV) and (3$^{-}$; 9.64 MeV) states in $^{^{12}}$C are calculated, and deformation lengths $\delta_{2}$ and $\delta_{3}$ are extracted and consistent with other works. Good agreement with experimental data of elastic and inelastic $K^{\pm}$-$^{12}$C scattering is obtained.