Comparative Regge analysis of $\Lambda, \Sigma^0, \Lambda(1520)$ and $\Theta^+$ production in $\gamma p$, $\pi p$ and $pp$ reactions

Abstract

Using the Quark-Gluon Strings Model -- combined with Regge phenomenology -- we perform a comparative analysis of $\Lambda$, $\Sigma^0$, $\Lambda(1520)$ and $\Theta^+$ production in binary reactions induced by photon, pion and proton beams on the nucleon. We find that the existing experimental data on the $\gamma p \to K^+ \Lambda$ differential and total cross sections can be described very well by the model for photon energies $1 - 16$ GeV and $-t < 2$ GeV$^2$ assuming a dominant contribution of the $K^*$ Regge trajectory. Moreover, using the same parameters we also reproduce the total $\gamma p \to K^+ \Sigma^0$ and $\gamma p \to K^+ \Lambda(1520)$ cross sections suggesting a 'universality' of the Regge model. In order to check the consistency of the approach we evaluate the differential and total cross sections for the reaction $\pi^- p \to K^0 \Lambda$ which is also found to be dominated by the $K^*$ Regge trajectory. Using the apparent 'universality' of the Regge model we extend our scheme to the analysis of the binary reactions $\gamma p \to \bar{K}^0 \Theta^+$, $\pi^- p \to K^- \Theta^+$ and $pp \to \Sigma^+ \Theta^+$ as well as the exclusive and inclusive $\Theta^+$ production in the reactions $pp \to p \bar{K}^0 \Theta^+$ and $pp \to \Theta^+ X$. Our detailed studies demonstrate that $\Theta^+$ production does not follow the 'universality' principle thus suggesting an essentially different internal structure of the exotic baryon relative to conventional hyperons or hyperon resonances.