High-energy ${\eta }^{(\prime )}\pi$ photoproduction and the nature of exotic waves

Abstract

The observation of hybrid mesons in photoproduction experiments can provide essential insight into the inner workings of quantum chromodynamics in the strong coupling regime. In particular, the study of final ${\eta }^{(\prime )}\pi$ states is of great interest due to the presence of the lowest lying hybrid candidate with manifestly exotic quantum numbers, the ${\pi }_1(1600)$. In this work, a double-vector exchange model with Reggeized $\rho$ and $\omega$ trajectories is developed to describe the photoproduction of ${\eta }^{(\prime )}\pi$ in the high-mass region. Results are presented for the differential cross sections and forward-backward asymmetries in the energy region of interest to the GlueX experiment. The model contains no free parameters, and reproduces the magnitude and $t$-dependence of existing CLAS data at $E_{\gamma }=5$\gev. The model predicts a stronger asymmetry in the ${\eta }^{\prime }\pi$ channel than in the $\eta \pi$ channel, consistent with what has previously been observed in pion beam experiments. This suggests that the sizeable production of exotic odd waves in ${\eta }^{\prime }\pi$ is not necessarily related to the presence of gluon-rich environments. Confirmation of these predicted asymmetries from forthcoming GlueX data would enable further predictions of the low-energy spectrum.

10 pages, 7 figures

References in corpus (10)

• Hybrid Mesons
• 50 Years of Quantum Chromodynamics
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Decays of an exotic $1^{-+}$ hybrid meson resonance in QCD
• Odd and Even Partial Waves of $\eta {\pi }^{-}$ and ${\eta }^{\prime }{\pi }^{-}$ in ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ at $191\text{GeV}/c$
• $\eta -{\eta }^{\prime }$ Mixing in the Flavor Basis and Large N
• Double-Regge Exchange Limit for the $\gamma p\to K^{+}{K}^{-}p$ Reaction
• ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ in the double-Regge region
• First measurement of direct photoproduction of the $a_2(1320{)}^0$ meson on the proton
• Upper Limit on the Photoproduction Cross Section of the Spin-Exotic ${\pi }_1(1600)$