dorsal/arxiv
View SchemaStudy of the threshold behavior of the $\eta$N scattering amplitude through the associated photoproduction of $\phi$- and $\eta$-mesons
| Authors | Madeleine Soyeur, Matthias F. M. Lutz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607019 |
| URL | https://arxiv.org/abs/nucl-th/0607019 |
| DOI | 10.1142/S0217751X07035501 |
| Journal | Int.J.Mod.Phys.A22:333-340,2007 |
Abstract
We suggest that the $\gamma p \to \phi \eta p$ reaction cross section, in the kinematics where the $\eta p$ invariant mass in the final state lies between the threshold value (m$_p$+m$_\eta$) and the N*(1535) resonance mass, is largely determined by the $\eta N$ scattering amplitude close to threshold. The initial photon energy is chosen in the range $4 < E_\gamma^{Lab} < 5$ GeV, in order to reach low (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. We show that the $\eta$-exchange is the dominating contribution to the cross section while the $\pi^0$-exchange is negligible. The $\eta$-$\pi^0$ interference is of the order of $20 - 30 %$. The sign of this term is not known and alters significantly our results. Data on the $\gamma p \to \phi \eta p$ process would be therefore very useful to help unravelling the behavior of the $\eta p$ scattering amplitude close to threshold and assessing the possibility of producing $\eta$-nucleus bound states.
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"abstract": "We suggest that the $\\gamma p \\to \\phi \\eta p$ reaction cross section, in the\nkinematics where the $\\eta p$ invariant mass in the final state lies between\nthe threshold value (m$_p$+m$_\\eta$) and the N*(1535) resonance mass, is\nlargely determined by the $\\eta N$ scattering amplitude close to threshold. The\ninitial photon energy is chosen in the range $4 \u003c E_\\gamma^{Lab} \u003c 5$ GeV, in\norder to reach low (absolute) values of the squared 4-momentum transfer from\nthe initial photon to the final $\\phi$-meson. In these conditions, we expect\nthe t-channel $\\pi^0$- and $\\eta$-meson exchanges to drive the dynamics\nunderlying the $\\gamma p \\to \\phi \\eta p$ process. We show that the\n$\\eta$-exchange is the dominating contribution to the cross section while the\n$\\pi^0$-exchange is negligible. The $\\eta$-$\\pi^0$ interference is of the order\nof $20 - 30 %$. The sign of this term is not known and alters significantly our\nresults. Data on the $\\gamma p \\to \\phi \\eta p$ process would be therefore very\nuseful to help unravelling the behavior of the $\\eta p$ scattering amplitude\nclose to threshold and assessing the possibility of producing $\\eta$-nucleus\nbound states.",
"arxiv_id": "nucl-th/0607019",
"authors": [
"Madeleine Soyeur",
"Matthias F. M. Lutz"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0217751X07035501",
"journal_ref": "Int.J.Mod.Phys.A22:333-340,2007",
"title": "Study of the threshold behavior of the $\\eta$N scattering amplitude through the associated photoproduction of $\\phi$- and $\\eta$-mesons",
"url": "https://arxiv.org/abs/nucl-th/0607019"
},
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