Photoproduction of pentaquark cascades from nucleons

Abstract

The cross sections for production of pentaquark $\hat{I}{ž}_5^{+}$ from the reaction ${\hat{I}}^{3}p\to K^0{K}^0\hat{I}{ž}_5^{+}$ and $\hat{I}{ž}_5^{--}$ from the reaction ${\hat{I}}^{3}n\to K^{+}{K}^{+}\hat{I}{ž}_5^{--}$ are evaluated in a hadronic model that includes their couplings to both $\hat{I}\pounds \bar{K}$ and $\hat{I}\pounds {\bar{K}}^{\ast }$. With these coupling constants determined from the empirical $\ddot{I}€NN(1710)$ and $\ddot{I}NN(1710)$ coupling constants by assuming that $\hat{I}{ž}_5^{+}$, $\hat{I}{ž}_5^{--}$, and N(1710) belong to the same antidecuplet of spin 1/2 and positive parity, and using form factors at strong interaction vertices similar to those for pentaquark $\hat{I}{˜}^{+}$ production in photonucleon reactions, we obtain a cross section of about 0.03-0.6 nb for the reaction ${\hat{I}}^{3}p\to K^0{K}^0\hat{I}{ž}_5^{+}$ and about 0.1-0.6 nb for the reaction ${\hat{I}}^{3}n\to K^{+}{K}^{+}\hat{I}{ž}_5^{--}$ at photon energy $E_{\hat{I}}^3=4.5$ GeV, depending on the value of the coupling constant $g_{K^{\ast }\hat{I}\pounds \hat{I}{ž}_5}$.

14 pages, 5 figures