Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission

Abstract

Possibilities of observing a signal of an ${\eta }^{\prime }n$ bound state are investigated by considering photoproductions of the $\eta$ and ${\eta }^{\prime }$ mesons on a deuteron target with forward proton emission. For this purpose, we take the ${\eta }^{\prime }n$ interaction from the linear sigma model with a coupling to $\eta n$, in which an $s$-wave ${\eta }^{\prime }n$ bound state can be dynamically generated, and we fix the $\gamma p\to \eta p$ and ${\eta }^{\prime }p$ scattering amplitudes so as to reproduce the experimental cross sections with forward proton emission. By using these $\gamma p\to {\eta }^{(\prime )}p$ and ${\eta }^{(\prime )}n\to {\eta }^{(\prime )}n$ amplitudes, we calculate cross sections of the $\gamma d\to \eta np$ and ${\eta }^{\prime }np$ reactions with forward proton emission in single and ${\eta }^{(\prime )}$-exchange double scattering processes. As a result, we find that the signal of the ${\eta }^{\prime }n$ bound state can be seen below the ${\eta }^{\prime }n$ threshold in the $\eta n$ invariant mass spectrum of the $\gamma d\to \eta np$ reaction and is comparable with the contribution from the quasifree ${\eta }^{\prime }$ production above the ${\eta }^{\prime }n$ threshold. We also discuss the behavior of the signal of the ${\eta }^{\prime }n$ bound state in several experimental conditions and model parameters.

11 pages, 15 EPS figures, version accepted for publication in PRC, a numerical error in Fig. 10 corrected, discussion on the eta^prime N amplitude improved

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Cited by in corpus (3)

• $N^{\ast }\to N{\eta }^{\prime }$ decays from photoproduction of ${\eta }^{\prime }$-mesons off protons
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction
• Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon