A study of the $pd\to pd\eta$ reaction

Abstract

A study of the $pd\to pd\eta$ reaction in the energy range where the recent data from Uppsala are available, is done in the two-step model of $\eta$ production including the final state interaction. The $\eta -d$ final state interaction is incorporated through the solution of the Lippmann Schwinger equation using an elastic scattering matrix element, $T_{\eta d\to \eta d}$, which is required to be half off-shell. It is written in a factorized form, with an off-shell form factor multiplying an on-shell part given by an effective range expansion up to the fourth power in momentum. The parameters of this expansion have been taken from an existing recent relativistic Faddeev equation solution for the $\eta NN$ system corresponding to different $\eta -N$ scattering amplitudes. Calculations have also been done using few body equations within a finite rank approximation (FRA) to generate $T_{\eta d\to \eta d}$. The $p-d$ final state interaction is included in the spirit of the Watson-Migdal prescription by multiplying the matrix element by the inverse of the Jost function. The $\eta -d$ interaction is found to be dominant in the region of small invariant $\eta -d$ mass, $M_{\eta d}$. The $p-d$ interaction enhances the cross section in the whole region of $M_{\eta d}$, but is larger for large $M_{\eta d}$. We find nearly isotropic angular distributions of the proton and the deuteron in the final state. All the above observations are in agreement with data. The production mechanism for the entire range of the existing data on the $pd\to pd\eta$ reaction seems to be dominated by the two-step model of $\eta$ production.

22 pages, 12 figures, accepted for publication in Phys. Rev. C

References in corpus (12)

• Photoproduction of eta-mesic 3He
• eta-Nucleon Scattering Length and Effective Range uncertainties
• $pp\to p{K}^{+}\Lambda$ reaction in an effective Lagrangian model
• Dependence of calculated binding energies and widths of $\eta$-mesic nuclei on treatment of subthreshold $\eta$-nucleon interaction
• Faddeev-type calculation of eta-d threshold scattering
• Final state interactions in the eta-d system
• Study of the $\eta$-nucleus interaction in the $pd{\to }^{3}He\eta$ reaction near threshold
• Small eta-N scattering lengths favour eta-d and eta-alpha states
• Three-body mechanism of $\eta$ production
• The $pd{\to }^3{H}_{\Lambda }{K}^{+}$ reaction cross section
• Theoretical Description of the pd -> pd eta Reaction Near Threshold
• Relativistic description of the np to eta d reaction near threshold

Cited by in corpus (9)

• Interaction of eta mesons with nuclei
• Coupled-channels study of the ${\pi }^{-}p\to \eta n$ process
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• Coherent π0η photoproduction on s-shell nuclei
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• Study of $K^{-}$ absorption at rest in nuclei followed by $p\Lambda$ emission
• Production of the omega meson in the pd --> 3He omega reaction at 1450 MeV and 1360 MeV
• Pairwise final state interactions in the p d --> p d eta reaction near threshold
• Study of the $\eta {-}^{7}Be$ Interaction Near Threshold in $p{-}^{6}Li$ Fusion