Analysis of the differential cross section and photon beam asymmetry data for $\gamma p\to {\eta }^{\prime }p$

Abstract

The photoproduction reaction of $\gamma p\to {\eta }^{\prime }p$ is investigated based on an effective Lagrangian approach in the tree-level approximation, with the purpose being to understand the reaction mechanisms and to extract the resonance contents and the associated resonance parameters in this reaction. Apart from the $t$-channel $\rho$ and $\omega$ exchanges, $s$- and $u$-channel nucleon exchanges, and generalized contact term, the exchanges of a minimum number of nucleon resonances in the $s$ channel are taken into account in constructing the reaction amplitudes to describe the experimental data. It is found that a satisfactory description of the available data on both differential cross sections and photon beam asymmetries can be obtained by including in the $s$ channel the exchanges of the $N(1875)3/2^{-}$ and $N(2040)3/2^{+}$ resonances. The reaction mechanisms of $\gamma p\to {\eta }^{\prime }p$ are discussed and a prediction for the target nucleon asymmetries is presented.

arXiv comment10 pages, 5 figures. Version published in PRD. arXiv admin note: text overlap with arXiv:2002.04213

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