Comparative Regge analysis of $Λ, Σ^0, Λ(1520)$ and $Θ^+$ production in $γp$, $πp$ and $pp$ reactions

Details Comparative Regge analysis of $Λ, Σ^0, Λ(1520)$ and $Θ^+$ production in $γp$, $πp$ and $pp$ reactions Comparative Regge analysis of $Λ, Σ^0, Λ(1520)$ and $Θ^+$ production in $γp$, $πp$ and $pp$ reactions

2005-06-16

arxiv.org/abs/nucl-th/0506053v1

Eur.Phys.J. A25 (2005) 141-150

Physics

Nuclear Physics

Nuclear Theory

11 pages, 13 figures; accepted for publication in Eur. Phys. J. A

Scientific paper

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.

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