Kaon-nucleon scattering amplitudes and Z* enhancements from quark Born diagrams.
/ Authors
/ Abstract
We derive closed form kaon-nucleon scattering amplitudes using the quark Born diagram'' formalism, which describes the scattering as a single interaction (here the OGE spin-spin term) followed by quark line rearrangement. The low energy [ital I]=0 and [ital I]=1 [ital S]-wave [ital KN] phase shifts are in reasonably good agreement with experiment given conventional quark model parameters. For [ital k][sub lab][gt]0.7 GeV, however, the [ital I]=1 elastic phase shift is larger than predicted by Gaussian wave functions, and we suggest possible reasons for this discrepancy. Equivalent low energy [ital KN] potentials for [ital S]-wave scattering are also derived. Finally we consider OGE forces in the related channels [ital K][Delta], [ital K][sup *][ital N], and [ital K][sup *][Delta], and determine which have attractive interactions and might therefore exhibit strong threshold enhancements or [ital Z][sup *]-molecule'' meson-baryon bound states. We find that the minimum-spin, minimum-isospin channels and two additional [ital K][sup *][Delta] channels are most conducive to the formation of bound states. Related interesting topics for future experimental and theoretical studies of [ital KN] interactions are also discussed.
Journal: Physical review. C, Nuclear physics