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The difference between the $\Lambda$ and $\bar \Lambda$ longitudinal spintransfers in the semi-inclusive deep inelastic scattering process isintensively studied. The study is performed in the current fragmentationregion, by considering the intermediate hyperon decay processes and sea quarkfragmentation processes, while the strange sea $s\bar s$ asymmetry in thenucleon is taken into account. The calculation in the light-cone quark-diquarkmodel shows that the strange sea asymmetry gives a proper trend to thedifference between the $\Lambda$ and $\bar \Lambda$ longitudinal spintransfers. When considering the nonzero final hadron transverse momentum, ourresults can explain the COMPASS data reasonably. The nonzero final hadrontransverse momentum is interpreted as a natural constraint to the final hadron$z$ range where the longitudinal spin transfer is more sensitive to the strangesea $s\bar s$ asymmetry.

Nucleon strange $s\bar s$ asymmetry to the $\Lambda/\bar\Lambda$ fragmentation