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We present a calculation of the twist-3 T-odd chiral-even fragmentationfunctions $G^{\perp}$ and $\tilde{G}^{\perp}$ using a spectator model. Weconsider the effect gluon exchange to calculate all necessary one-loop diagramsfor the quark-quark and quark-gluon-quark correlation functions. We find thatthe gluon loops corrections generate non-zero contribution to these twofragmentation function. We numerically calculate their half-$k_T$ moments byintegrating over the transverse momentum and also verify the equation of motionrelation among $G^{\perp}$, $\tilde{G}^{\perp}$ and the Collins function.

Twist-3 T-odd fragmentation functions $G^\perp$ and $\tilde{G}^\perp$ in a spectator model