| The existence of pentaquarks, namely baryonic states made up of four quarks and one antiquark, became questionable, because the candidates, i.e. the $\Theta^+$ peak, are seen in certain reactions, i.e. p+p collisions, but not in others, i.e. $\ee$ annihilations. In this paper, we calculate the production of $\Theta ^{+}(1540)$ and $\Xi (1860)$ in $\ee$ annihilations at 91.2 GeV with a microcanonical approach. A rather high production of pentaquark states is obtained. It is comparable with that from pp collisions at RHIC energy, and higher than the yield from pp collisions at SPS energy. If pentaquark states exist, the production is highly possible from high energy collisions, even without initial baryons. |