dorsal/arxiv
View SchemaKaon-Nucleon Scattering Amplitudes and Z$^*$-Enhancements from Quark Born Diagrams
| Authors | T. Barnes, E. S. Swanson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9212008 |
| URL | https://arxiv.org/abs/nucl-th/9212008 |
| DOI | 10.1103/PhysRevC.49.1166 |
| Journal | Phys. Rev. C49 (1994) 1166-1184. |
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$^*$N and K$^*\Delta$, and determine which have attractive interactions and might therefore exhibit strong threshold enhancements or ``Z$^*$-molecule" meson-baryon bound states. We find that the minimum-spin, minimum-isospin channels and two additional K$^*\Delta$ 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.
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"abstract": "We derive closed form kaon-nucleon scattering amplitudes using the ``quark\nBorn diagram\" formalism, which describes the scattering as a single interaction\n(here the OGE spin-spin term) followed by quark line rearrangement. The low\nenergy I=0 and I=1 S-wave KN phase shifts are in reasonably good agreement with\nexperiment given conventional quark model parameters. For $k_{lab}\u003e 0.7$ Gev\nhowever the I=1 elastic phase shift is larger than predicted by Gaussian\nwavefunctions, and we suggest possible reasons for this discrepancy. Equivalent\nlow energy KN potentials for S-wave scattering are also derived. Finally we\nconsider OGE forces in the related channels K$\\Delta$, K$^*$N and K$^*\\Delta$,\nand determine which have attractive interactions and might therefore exhibit\nstrong threshold enhancements or ``Z$^*$-molecule\" meson-baryon bound states.\nWe find that the minimum-spin, minimum-isospin channels and two additional\nK$^*\\Delta$ channels are most conducive to the formation of bound states.\nRelated interesting topics for future experimental and theoretical studies of\nKN interactions are also discussed.",
"arxiv_id": "nucl-th/9212008",
"authors": [
"T. Barnes",
"E. S. Swanson"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.49.1166",
"journal_ref": "Phys. Rev. C49 (1994) 1166-1184.",
"title": "Kaon-Nucleon Scattering Amplitudes and Z$^*$-Enhancements from Quark Born Diagrams",
"url": "https://arxiv.org/abs/nucl-th/9212008"
},
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