Positivity restrictions to the transverse polarization of the inclusively detected spin-half baryons in unpolarized electron-positron annihilation

The positivity constraints to the structure functions for the inclusive spin-half baryon production by a time-like photon fragmentation are investigated. One conclusion is that $\hat F$, which arises from the hadronic final-state interactions, is subjected to an inequality between its absolute value and the two spin-independent structure functions. On the basis of this finding, we derive a formula through which the upper limits can be given for the transverse polarization of the inclusively detected spin-half baryons in unpolarized electron-positron annihilation. The derived upper bound supplies a consistency check for the judgement of reliability of experimental data and model calculations.