The main goal of this dissertation is the experimental and phenomenological study of hyperon spectroscopy. In this work, we focus on the strangeness -1 hyperon resonances, the Λ* and Σ*s. Our ultimate goal is to obtain more reliable information about the properties of Λ* and Σ* resonances by carrying out a multichannel partial-wave analysis of K̅N scattering. Most prior energy-dependent partial-wave analyses of K̅N scattering assumed a simple parametrization for the partial-wave amplitudes. Such a parametrization introduces a model-dependent bias and results in a violation of unitarity of the partial-wave S-matrix.Thus, one objective of our work is to reduce this bias as much as possible by carrying out a constrained single-energy partial-wave analysis. The Crystal Ball Collaboration recently measured several important K̅N reactions. These high quality data have also fostered part of the motivation for our new partial-wave analysis.
In this dissertation, we initialized our single-energy analysis of K̅N scattering using results of a global fit of previously published partial-wave amplitudes. Thereafter, we performed a multichannel fit of our single-energy amplitudes to determine an energy-dependent solution that is consistent with S-matrix unitarity. We iterated between single-energy and energy-dependent fits until we obtained an energy-dependent solution that agrees with the initial data.
Our research included all available data for K̅N → K̅N, K̅N → π Λ, and K̅N → π Σ reactions, covering the c. m. energy range 1480 to 2170 MeV.