Quark-Model Sum Rules for Hyperon-Nucleon Total Cross Sections

Predictions of hyperon-nucleon total cross sections are made based upon quark-model additivity sum rules. Using various kinematic conditions for performing the quark decomposition, large qualitative differences result in the ${\Sigma }^{-}p$ total cross section predicted at high energies. Data taken in proposed hyperon-beam experiments should be able to differentiate between predictions of the various kinematic schemes. Also, Serpukhov data are used to confront old quark-model sum rules for conventional beams; results are consistent with additivity sum rules taken with the various hadron systems compared at fixed relative velocity.