Production of transversely polarized $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model

Abstract

We study the spin-dependent (naive) T-odd fragmentation function $D^\perp_{1T}$ in a spectator model to obtain the knowledge of the process for the transverse polarization of the $\Lambda^0$ hyperon produced fragmented from an unpolarized quark. We consider both scalar diquark and vector diquark to obtain the flavor content of $\Lambda$ fragmentation functions. We determine the values of the model parameters by fitting the unpolarized fragmentation function $D^\Lambda_1$ to the DSV parametrization for $D^\Lambda_1$. With the model results of these fragmentation functions, we also estimate the transverse polarizations $P^\Lambda_T$ in both semi-inclusive deep inelastic scattering and single inclusive $e^+e^-$ annihilation.