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The spin-orbit coupling systems with a zero magnetic field is studied underthe equilibrium situation, {\it i.e.}, without a voltage bias. A persistentspin current is predicted to exist under most circumstances, although thepersistent charge current and the spin accumulation are identically zero. Inparticular, a two-dimensional quantum wire is investigated in detail.Surprisingly, a persistent spin current is found to flow along the confineddirection, due to the spin precession in accompany with the particle motion.This provides an interesting example of constant spin flowing without inducinga spin accumulation, contrary to common intuition.Comment: 4 pages, 5 figure

PERSISTENT SPIN CURRENT IN SPIN-ORBIT COUPLING SYSTEMS IN THE ABSENCE OF AN EXTERNAL MAGNETIC FIELD