Effects of Final-State Interactions on Inclusive Spin-Half Baryon Production from Time-Like Photon Fragmentation

In contrast to the hadronic tensor in the deeply inelastic scattering, we find that owing to the final-state interactions, time reversal invariance cannot make any constraint to the general expression of the photon fragmentation tensor for inclusive spin-half bafyon production. Correspondingly, there exists a novel fragmentation structure function F(z, Q²) that has no correspondence to any hadronic structure functions in the hadronic tensor of the deeply inelastic electron scattering off the spin-half baryon. Phenomenologically, F(z, Q²) determines the transverse polarization of the inclusively detected baryon in unpolarized electron-positron annihilation. In relation to the large transverse A polarization puzzle in fixed-target experiments, we suggest measuring the Λ polarization in e^- + e⁺ → Λ + X .