The cross sections for production of the pentaquark baryon ${\Xi }_5^{+}$ from the reaction $\gamma p\to K^0{K}^0{\Xi }_5^{+}$ and of ${\Xi }_5^{--}$ from the reaction $\gamma n\to K^{+}{K}^{+}{\Xi }_5^{--}$ are evaluated in a hadronic model that includes their couplings to both $\Sigma \overline{K}$ and $\Sigma {\overline{K}}^{*}$. Values for these coupling constants are determined from the empirical $\pi NN\left(1710\right)$ and $\rho NN\left(1710\right)$ coupling constants by assuming that ${\Xi }_5^{+}$, ${\Xi }_5^{--}$, and $N\left(1710\right)$ belong to the same antidecuplet of spin 1∕2 and positive parity as the pentaquark ${\Theta }^{+}$. Introducing empirical form factors at strong interaction vertices, we obtain a cross section of about $0.03–0.6\text{nb}$ for the reaction $\gamma p\to K^0{K}^0{\Xi }_5^{+}$ and about $0.1–0.6\text{nb}$ for the reaction $\gamma n\to K^{+}{K}^{+}{\Xi }_5^{--}$ at photon energy $E_{\gamma }=4.5\text{GeV}$, depending on the value of the coupling constant $g_{K^{*}\Sigma {\Xi }_5}$.

• Received 6 January 2004

DOI:https://doi.org/10.1103/PhysRevC.69.045204