dorsal/arxiv
View SchemaStudy of the $\eta$N scattering amplitude through the associated photoproduction of $\phi$- and $\eta$-mesons in the region of the N*(1535) resonance
| Authors | Matthias F. M. Lutz, Madeleine Soyeur |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511055 |
| URL | https://arxiv.org/abs/nucl-th/0511055 |
| DOI | 10.1016/j.nuclphysa.2006.05.003 |
| Journal | Nucl.Phys.A773:239-249,2006 |
Abstract
The $\gamma p \to \phi \eta p$ reaction is studied in the kinematic region where the $\eta p$ final state originates dominantly from the decay of the N*(1535) resonance. The threshold laboratory photon energy for this reaction (at the peak of the S11 resonance) is $E_\gamma^{Lab} = $3 GeV. We will discuss it somewhat above threshold, at $E_\gamma^{Lab}\simeq 4-5$ GeV, in order to reach lower (absolute) values of the squared 4-momentum transfer from the initial photon to the final $\phi$-meson. In these conditions, we expect the t-channel $\pi^0$- and $\eta$-meson exchanges to drive the dynamics underlying the $\gamma p \to \phi \eta p$ process. The initial photon dissociates into the final $\phi$-meson and a virtual pseudoscalar meson ($\pi^0$ or $\eta$). The virtual pseudoscalar meson scatters from the proton target to produce the final $\eta p$ state. The $\pi^0 p \to \eta p$ and $\eta p \to \eta p$ amplitudes are derived in the framework of a coupled-channel effective field theory of meson-baryon scattering. We found the $\eta$-meson exchange to be largely dominant. The $\eta$-$\pi^0$ interference is of the order of $20 - 30 %$. The sign of this term is not known and has a significant influence on the results. The $\pi N\to \eta N$ amplitude being largely determined by data on the $\pi^- p \to \eta n$ reaction, we found that the $\gamma p \to \phi \eta p$ reaction cross section is rather directly related to the $\eta$-nucleon scattering amplitude in the N*(1535) resonance region. Accurate data on the $\gamma p \to \phi \eta p$ process would therefore put additional constraints on this still poorly known amplitude.
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"abstract": "The $\\gamma p \\to \\phi \\eta p$ reaction is studied in the kinematic region\nwhere the $\\eta p$ final state originates dominantly from the decay of the\nN*(1535) resonance. The threshold laboratory photon energy for this reaction\n(at the peak of the S11 resonance) is $E_\\gamma^{Lab} = $3 GeV. We will discuss\nit somewhat above threshold, at $E_\\gamma^{Lab}\\simeq 4-5$ GeV, in order to\nreach lower (absolute) values of the squared 4-momentum transfer from the\ninitial photon to the final $\\phi$-meson. In these conditions, we expect the\nt-channel $\\pi^0$- and $\\eta$-meson exchanges to drive the dynamics underlying\nthe $\\gamma p \\to \\phi \\eta p$ process. The initial photon dissociates into the\nfinal $\\phi$-meson and a virtual pseudoscalar meson ($\\pi^0$ or $\\eta$). The\nvirtual pseudoscalar meson scatters from the proton target to produce the final\n$\\eta p$ state. The $\\pi^0 p \\to \\eta p$ and $\\eta p \\to \\eta p$ amplitudes are\nderived in the framework of a coupled-channel effective field theory of\nmeson-baryon scattering. We found the $\\eta$-meson exchange to be largely\ndominant. The $\\eta$-$\\pi^0$ interference is of the order of $20 - 30 %$. The\nsign of this term is not known and has a significant influence on the results.\nThe $\\pi N\\to \\eta N$ amplitude being largely determined by data on the $\\pi^-\np \\to \\eta n$ reaction, we found that the $\\gamma p \\to \\phi \\eta p$ reaction\ncross section is rather directly related to the $\\eta$-nucleon scattering\namplitude in the N*(1535) resonance region. Accurate data on the $\\gamma p \\to\n\\phi \\eta p$ process would therefore put additional constraints on this still\npoorly known amplitude.",
"arxiv_id": "nucl-th/0511055",
"authors": [
"Matthias F. M. Lutz",
"Madeleine Soyeur"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2006.05.003",
"journal_ref": "Nucl.Phys.A773:239-249,2006",
"title": "Study of the $\\eta$N scattering amplitude through the associated photoproduction of $\\phi$- and $\\eta$-mesons in the region of the N*(1535) resonance",
"url": "https://arxiv.org/abs/nucl-th/0511055"
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