dorsal/arxiv
View SchemaChiral SU(3) Dynamics with Coupled Channels: Inclusion of P-Wave Multipoles
| Authors | J. Caro Ramon, N. Kaiser, S. Wetzel, W. Weise |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912053 |
| URL | https://arxiv.org/abs/nucl-th/9912053 |
| DOI | 10.1016/S0375-9474(99)00855-6 |
| Journal | Nucl.Phys. A672 (2000) 249-269 |
Abstract
We extend our recent non-perturbative chiral SU(3) coupled channel approach to pion- and photon-induced $\eta$- and $K$-meson production off protons by including all strong and electromagnetic p-wave multipoles. We identify the p-wave amplitudes of the next-to-leading order SU(3) chiral meson-baryon Lagrangian with a coupled channel potential which is iterated to infinite orders in a separable Lippmann-Schwinger equation. Our approach to $\eta$- and $K$-photoproduction introduces no additional free parameters. By adjusting a few finite range parameters and the unknown parameters in the Lagrangian, we are able to simultaneously describe a very large amount of low-energy data. These include the total and differential cross sections of the $\pi$-induced reactions $\pi^- p \to \eta n, K^0 \Lambda, K^0 \Sigma^0, K^+ \Sigma^-$ and $\pi^+ p \to K^+ \Sigma^+$ as well as those of photoproduction $\gamma p \to \eta p, K^+\Lambda, K^+ \Sigma^0, K^0 \Sigma^+$. The polarization observables measured in $\eta$- and $K$-photoproduction are particularly sensitive to interference terms between the s- and p-wave multipoles. The total cross section data are remarkably well reproduced in all channels. There remain, however, some open questions concerning details of angular distributions and polarization observables.
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"abstract": "We extend our recent non-perturbative chiral SU(3) coupled channel approach\nto pion- and photon-induced $\\eta$- and $K$-meson production off protons by\nincluding all strong and electromagnetic p-wave multipoles. We identify the\np-wave amplitudes of the next-to-leading order SU(3) chiral meson-baryon\nLagrangian with a coupled channel potential which is iterated to infinite\norders in a separable Lippmann-Schwinger equation. Our approach to $\\eta$- and\n$K$-photoproduction introduces no additional free parameters. By adjusting a\nfew finite range parameters and the unknown parameters in the Lagrangian, we\nare able to simultaneously describe a very large amount of low-energy data.\nThese include the total and differential cross sections of the $\\pi$-induced\nreactions $\\pi^- p \\to \\eta n, K^0 \\Lambda, K^0 \\Sigma^0, K^+ \\Sigma^-$ and\n$\\pi^+ p \\to K^+ \\Sigma^+$ as well as those of photoproduction $\\gamma p \\to\n\\eta p, K^+\\Lambda, K^+ \\Sigma^0, K^0 \\Sigma^+$. The polarization observables\nmeasured in $\\eta$- and $K$-photoproduction are particularly sensitive to\ninterference terms between the s- and p-wave multipoles. The total cross\nsection data are remarkably well reproduced in all channels. There remain,\nhowever, some open questions concerning details of angular distributions and\npolarization observables.",
"arxiv_id": "nucl-th/9912053",
"authors": [
"J. Caro Ramon",
"N. Kaiser",
"S. Wetzel",
"W. Weise"
],
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"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00855-6",
"journal_ref": "Nucl.Phys. A672 (2000) 249-269",
"title": "Chiral SU(3) Dynamics with Coupled Channels: Inclusion of P-Wave Multipoles",
"url": "https://arxiv.org/abs/nucl-th/9912053"
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