dorsal/arxiv
View SchemaRole of correlated two-pion exchange in $K^+ N$ scattering
| Authors | M. Hoffmann, J. W. Durso, K. Holinde, B. C. Pearce, J. Speth |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9504029 |
| URL | https://arxiv.org/abs/nucl-th/9504029 |
| DOI | 10.1016/0375-9474(95)00320-Z |
| Journal | Nucl.Phys. A593 (1995) 341-361 |
Abstract
A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have been constructed from nucleon, $\Delta$--isobar and hyperon ($\Lambda$, $\Sigma$) exchange Born terms and a realistic meson exchange model of the $\pi \pi \rightarrow K \bar K$ and $K \bar K \rightarrow K \bar K$ amplitude. The contribution in the s--channel is then obtained by performing a dispersion relation over the unitarity cut. In the $\rho$--channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical $K^+ N$ data below pion production threshold in a satisfactory way.
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"abstract": "A dynamical model for S-- and P--wave correlated $2 \\pi$ (and $K \\bar K$)\nexchange between a kaon and a nucleon is presented, starting from corresponding\n$N \\bar N \\rightarrow K \\bar K$ amplitudes in the pseudophysical region, which\nhave been constructed from nucleon, $\\Delta$--isobar and hyperon ($\\Lambda$,\n$\\Sigma$) exchange Born terms and a realistic meson exchange model of the $\\pi\n\\pi \\rightarrow K \\bar K$ and $K \\bar K \\rightarrow K \\bar K$ amplitude. The\ncontribution in the s--channel is then obtained by performing a dispersion\nrelation over the unitarity cut. In the $\\rho$--channel, considerable\nambiguities exist, depending on how the dispersion integral is performed. Our\nmodel, supplemented by short range interaction terms, is able to describe\nempirical $K^+ N$ data below pion production threshold in a satisfactory way.",
"arxiv_id": "nucl-th/9504029",
"authors": [
"M. Hoffmann",
"J. W. Durso",
"K. Holinde",
"B. C. Pearce",
"J. Speth"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(95)00320-Z",
"journal_ref": "Nucl.Phys. A593 (1995) 341-361",
"title": "Role of correlated two-pion exchange in $K^+ N$ scattering",
"url": "https://arxiv.org/abs/nucl-th/9504029"
},
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