Kaon-Nucleon Scattering Amplitudes and Z${}^{\ast }$-Enhancements from Quark Born Diagrams

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 I=0 and I=1 S-wave KN phase shifts are in reasonably good agreement with experiment given conventional quark model parameters. For $k_{lab}>0.7$ Gev however the I=1 elastic phase shift is larger than predicted by Gaussian wavefunctions, and we suggest possible reasons for this discrepancy. Equivalent low energy KN potentials for S-wave scattering are also derived. Finally we consider OGE forces in the related channels K$\Delta$, K${}^{\ast }$N and K${}^{\ast }\Delta$, and determine which have attractive interactions and might therefore exhibit strong threshold enhancements or ``Z${}^{\ast }$-molecule" meson-baryon bound states. We find that the minimum-spin, minimum-isospin channels and two additional K${}^{\ast }\Delta$ channels are most conducive to the formation of bound states. Related interesting topics for future experimental and theoretical studies of KN interactions are also discussed.

34 pages, figures available from the authors, revtex

References in corpus (2)

• NN Core Interactions and Differential Cross Sections from One Gluon Exchange
• I=3/2 $K\pi$ Scattering in the Nonrelativisitic Quark Potential Model

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