Proton-${\eta }^{\prime }$ interactions at threshold

Abstract

Recent data on photoproduction of ${\eta }^{\prime }$ mesons off protons have been included in the data base for the Bonn-Gatchina partial wave analysis. The real and imaginary parts of the $S$-wave ${\eta }^{\prime }p\to {\eta }^{\prime }p$ scattering amplitude in the threshold region were fit to yield the ${\eta }^{\prime }p$ scattering length and the interaction range. This new analysis found $|a_{{\eta }^{\prime }p}|=(0.403\pm 0.015\pm 0.060)$ fm and a phase $\varphi =(87\pm 2{)}^{\circ }$, while the range parameter is not well-constrained. The striking behavior of the GRAAL data on the beam asymmetry in the threshold region suggests that a narrow proton-${\eta }^{\prime }$ resonance might exist. However, the scattering length was found to be relatively insensitive to the possible existence of this narrow resonance.

arXiv comment5 pages, 5 figures

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• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
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