A Cloudy Bag Model for the S-D Wave $\text{Kbar}-N$ System

Abstract

The cloudy quark bag model is applied to the coupled ($\text{Kbar}N$, $\Sigma \pi$, $\Lambda \pi$) system for $S-D$ partial waves. Energy--dependent separable potentials are derived, as are new numerical algorithms for solving the coupled Lippmann-Schwinger equations. The parameters are fit to $K^{-}p$ scattering and reaction cross sections, branching ratios, and mass spectra from $K^{-}p\to \Sigma \pi \pi \pi ,\Lambda \pi \pi \pi$. The ${\Sigma }_{P13}(1385)$ and ${\Lambda }_{D03}(1520)$ resonances are found to be predominately elementary bag states with considerable dressing for the ${\Sigma }_{P13}$. The ${\Lambda }_{S01}(1405)$ appears as a complicated composite systems arising from two poles.

Comments: 40 pages, 10 figures available from Rubin Landau (rubin@physics.orst.edu) on request. Oregon State Univ. Nucl. Theory #NT-105