Study of the threshold behavior of the $η$N scattering amplitude through the associated photoproduction of $φ$- and $η$-mesons

Details Study of the threshold behavior of the $η$N scattering amplitude through the associated photoproduction of $φ$- and $η$-mesons Study of the threshold behavior of the $η$N scattering amplitude through the associated photoproduction of $φ$- and $η$-mesons

2006-07-11

arxiv.org/abs/nucl-th/0607019v1

Int.J.Mod.Phys.A22:333-340,2007

Physics

Nuclear Physics

Nuclear Theory

8 pages, 6 figures, Invited talk at MESON 2006, June 9th-13th, 2006, Cracow (Poland)

Scientific paper

10.1142/S0217751X07035501

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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