Abstract
The existence of pentaquarks became questionable, because the Θ + peak is observed in some p + p collisions, but not in e + e − annihilations. People think initial baryon number is necessary to produce pentaquarks. In this paper, we estimate and compare the production of Θ + ( 1540 ) and Ξ − − ( 1860 ) in e + e − and pp collisions at different energies using Fermi statistical model as originally proposed in its microcanonical form. We find that both Θ + ( 1540 ) and Ξ − − ( 1860 ) yield more in e + e − at LEP energies than in pp collisions at SPS and RHIC energies, if pentaquarks do exist. Initial baryon number is not necessary for pentaquark production.
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