We study the single spin asymmetry (SSA) for the pion production with large transverse momentum p T in semi-inclusive deep inelastic scattering e p ↑ → e π X . We derive the twist-3 cross section formula for SSA, focussing on the soft-gluon-pole contributions associated with the twist-3 distribution for the nucleon and with the twist-3 fragmentation function for the pion. We present a simple estimate of the asymmetries due to each twist-3 effect from nucleon and pion, respectively, by fixing the overall strength of the relevant nonperturbative quantities by the data on the SSA A N in p ↑ p → π X collision.
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