Comprehensive analysis of the $\gamma p \to K^+ \Sigma^0(1385)$, $\gamma n \to K^+ \Sigma^-(1385)$, and $\pi^+ p \to K^+ \Sigma^+(1385)$ reactions

A comprehensive analysis of all available data on cross sections and spin-dependent observables for the $\gamma p \to K^+ \Sigma^0(1385)$, $\gamma n \to K^+ \Sigma^-(1385)$, and $\pi^+ p \to K^+ \Sigma^+(1385)$ reactions is performed within an effective Lagrangian framework. In addition to the $s$-channel $N$ exchange, $t$-channel $K$ and $K^\ast$ exchanges, $u$-channel $\Lambda$, $\Sigma$, and $\Sigma^\ast$ exchanges, and the interaction current, the $s$-channel contributions from a minimal set of $N$ and $\Delta$ resonances are included in constructing the reaction amplitudes to describe the data. The analysis reveals that all available data for both photon- and hadron-induced $K\Sigma(1385)$ production reactions can be simultaneously and satisfactorily reproduced when the contribution of the $s$-channel $\Delta(1930){5/2}^-$ resonance is taken into account. The reaction mechanisms, particularly the resonance contributions in each considered reaction, are thoroughly analyzed and discussed in detail.