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We have investigated the effect of nucleon and delta resonances with spins11/2, 13/2, and 15/2 in the kaon photoproduction process $\gamma + N \to K + Y$by using two covariant isobar models. The formalism for high-spin propagatorsand interaction Lagrangians were adopted from the works of Pascalutsa andVrancx et al. The unknown parameters in the amplitudes, i.e., the couplingconstants and hadronic form factor cutoffs, were obtained by fitting thecalculated observables to experimental data. In the $K\Lambda$ channels theinclusion of $N(2600)I_{1,11}$ and $N(2700)K_{1,13}$ resonances improves theagreement between model calculations and experimental data significantly andreduces the dominance of resonances in the model by increasing the hadronicform factor cutoff of the Born terms. Furthermore, the inclusion of theseresonances reduces the number of resonance structures in cross sections,including the structure in the $K^0\Lambda$ differential cross section at$W\approx 1650$ MeV, which could become a hint of the narrow resonance. In the$K\Sigma$ channels the inclusion of $N(2600)I_{1,11}$, $N(2700)K_{1,13}$,$\Delta(2420)H_{3,11}$, $\Delta(2750)I_{3,13}$, and $\Delta(2950)K_{3,15}$states also significantly improves the model and increases the hadronic formfactor cutoff of the Born terms. However, different from the $K\Lambda$channels, the inclusion of these high-spin resonances leads to more resonancestructures in the $K^+\Sigma^0$ differential cross section. This investigationreveals that the second and third peaks in the $K^+\Sigma^0$ differential crosssection originate from the $\Delta(2000)F_{35}$ and $N(2290)G_{19}$ resonances,respectively. We have also evaluated the resonance properties at the polepositions and using the Breit-Wigner method.

Role of the high-spin nucleon and delta resonances in the $K\Lambda$ and $K\Sigma$ photoproduction off the nucleon